WO2025147252A1 - Systems and methods for phased array calibration - Google Patents

Systems and methods for phased array calibration Download PDF

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Publication number
WO2025147252A1
WO2025147252A1 PCT/US2024/010292 US2024010292W WO2025147252A1 WO 2025147252 A1 WO2025147252 A1 WO 2025147252A1 US 2024010292 W US2024010292 W US 2024010292W WO 2025147252 A1 WO2025147252 A1 WO 2025147252A1
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WIPO (PCT)
Prior art keywords
components
composite metric
composite
points
values
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PCT/US2024/010292
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French (fr)
Inventor
Omar B. ALAM
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Viasat Inc
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Viasat Inc
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Priority to PCT/US2024/010292 priority Critical patent/WO2025147252A1/en
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Anticipated expiration legal-status Critical
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Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/1851Systems using a satellite or space-based relay
    • H04B7/18515Transmission equipment in satellites or space-based relays
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/1853Satellite systems for providing telephony service to a mobile station, i.e. mobile satellite service
    • H04B7/18539Arrangements for managing radio, resources, i.e. for establishing or releasing a connection
    • H04B7/18543Arrangements for managing radio, resources, i.e. for establishing or releasing a connection for adaptation of transmission parameters, e.g. power control
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/267Phased-array testing or checking devices
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/204Multiple access
    • H04B7/2041Spot beam multiple access

Definitions

  • Phased array systems may use multiple components for generating and amplifying signals for transmission or reception, and may prove challenging to calibrate across multiple operating conditions (e.g., temperature, frequency).
  • SUMMARY [0003] The described techniques relate to improved methods, systems, devices, and apparatuses for phased array calibration.
  • the described techniques provide for calibrating an antenna of a satellite based on operating conditions of the antenna, including performing one or more measurements of a composite metric (e.g., gain) of a set of components of the antenna, as well as individual settings of each of the components, at a subset of supported temperatures and a subset of supported frequencies.
  • a composite metric e.g., gain
  • Calibrating the phased array antenna may further include processing these measurements to calculate a composite gain corresponding to intermediate points (intermediate temperatures and intermediate frequencies between the temperatures and frequencies at which the composite gain was measured, or extrapolated from the temperatures and frequencies at which the composite gain was measured) associated with each supported target gain of the antenna.
  • a mapping associating each supported temperature, each supported frequency, and each target gain with a corresponding composite gain may be stored to the satellite, and the satellite may use the mapping (e.g., with a look-up procedure using the mapping) to identify settings of the one or more components which result in a desired target gain at a given temperature and frequency.
  • FIG.6 shows a block diagram of a calibration system that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • FIG.7 shows a block diagram of a satellite system that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • FIG.8 shows a flowchart illustrating methods that support systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • DETAILED DESCRIPTION [0012]
  • a phased array antenna of a satellite may operate in accordance with a target gain for the antenna.
  • the satellite may configure the antenna with a target gain to support effective communication.
  • the satellite may configure (e.g., adjust one or more settings of) a composite gain of a set of circuits of the antenna, such as a set of amplifiers (e.g., low-noise amplifiers, power amplifiers) or other signal processing components.
  • the system gain of the antenna may additionally vary with the temperature (e.g., operational temperature) of the satellite and the frequency (e.g., channel) at which the satellite communicates the beams.
  • calibrating a phased array antenna may include performing one or more measurements of a composite gain of a set of components of a phased array antenna, at a subset of a range of individual settings of each of the components, at a subset of supported temperatures, a subset of supported frequencies. Calibrating the phased array antenna may further include processing these measurements (e.g., using a three-dimensional interpolation method as described herein) to calculate a composite gain corresponding to intermediate points (intermediate temperatures and intermediate frequencies between the temperatures and frequencies at which the composite gain was measured) associated with each supported target gain of the phased array antenna.
  • FIG.1 shows an example of a satellite communication system 100 that supports systems and methods for phased array calibration in accordance with examples described herein.
  • the satellite communication system 100 may include a first network 151 of ground stations 135 configured to communicated with one or more terminals 138 via one or more first satellites 110 (e.g., LEO or MEO satellites 110) or a second network 152 of ground stations 135 configured to communicate with one or more second satellites 120 (e.g., GEO satellites).
  • first satellites 110 e.g., LEO or MEO satellites 110
  • second network 152 of ground stations 135 configured to communicate with one or more second satellites 120 (e.g., GEO satellites).
  • the access node transceiver 145 may process the communication signals received at the access nodes 140 — e.g., may downconvert, demodulate, and decode the communication signals. The access node transceiver 145 may also process the communication signals to be transmitted from the access nodes 140 — e.g., may upconvert, encode, and modulate the communication signals.
  • a ground station 135 may include one or more access nodes 140 which are configured to communicate with a satellite, such as a LEO satellite 110 or a GEO satellite 120 via a communication link 132.
  • the access nodes 140 may be coupled with access node transceivers 145 that are configured to process signals received from and to be transmitted through corresponding access node(s) 140.
  • the access node transceivers 145 may also be configured to interface with a network 125 (e.g., the Internet)—e.g., via a ground-based server 130 (e.g., a network device, a network operations center, satellite and gateway terminal command centers, or other central processing centers or devices) that may provide an interface for communicating with the network 125.
  • the ground station 135 may also contain access nodes 140 with multiple antennas or antenna array elements.
  • the access node transceiver 145 may process the communication signals received at the access nodes 140 — e.g., may downconvert, demodulate, and decode the communication signals.
  • the access node transceiver 145 may also process the communication signals to be transmitted from the access nodes 140 — e.g., may upconvert, encode, and modulate the communication signals.
  • the LEO satellites 110 may include multiple components installed on a chassis, such as sensing components, processing components, or communication components.
  • the chassis may include structural components as well as power systems for the other components (e.g., solar arrays, batteries), on-board communication (e.g., a communication bus), and station-keeping components (e.g., thrusters, reaction wheels).
  • the communication components may include one or more transponders, configured to support transmitting data to a ground station 135 using antennas and radio frequency (RF) devices onboard the LEO satellite 110.
  • RF radio frequency
  • the LEO satellite may be operated by a user for purposes associated with the payload functions (e.g., communications, sensing).
  • the communication components may include one or more transponders, configured to support transmitting data to a ground station 135, a LEO satellite 110, or both using antennas and radio frequency (RF) devices onboard the GEO satellite 120.
  • the GEO satellite 120 may be operated by a user for purposes associated with the payload functions (e.g., communications, sensing).
  • the GEO satellites 120 may receive, collect, and store data, such as sensor data gathered by a GEO satellite 120, user data (e.g., communication data) of an entity operating a payload of a GEO satellite 120, data received from other satellites, or other forms of data.
  • the data may be organized into one or more data packets, which may each include a portion of the data.
  • an antenna e.g., a phased array antenna
  • a satellite 110 or a satellite 120 may be calibrated based on operating conditions, such as a temperature of the antenna, an operating frequency channel of the antenna, and so on.
  • Calibrating the antenna may include performing one or more measurements of a composite metric (e.g., gain) of a set of components of the antenna at a subset of a range of individual settings of each of the components. The measurements may be made at each combination of a subset of supported temperatures, a subset of supported frequencies, and various settings of the components.
  • a composite metric e.g., gain
  • Calibrating the antenna may further include processing these measurements (e.g., using a three-dimensional interpolation method as described herein) to calculate a composite gain corresponding to intermediate points (intermediate temperatures, intermediate frequencies, and intermediate settings of components between or extrapolated from the temperatures, frequencies, and settings at which the composite gain was measured) associated with each supported target gain of the phased array antenna.
  • a mapping associating each supported temperature, each supported frequency, and each target gain with a corresponding composite gain may be stored to the satellite 110, and the satellite 110 may use the mapping (e.g., with a look-up procedure using the mapping) to identify settings of the one or more components which result in a desired target gain at a given temperature and frequency.
  • Such techniques may allow for improved operation of the antenna across varied operating conditions.
  • FIG.2 shows an example of a system 200 that supports systems and methods for phased array calibration in accordance with examples described herein.
  • the system 200 may illustrate a schematic of various components of a satellite 205, which may be an example of a LEO satellite 110 or a GEO satellite 120, among other types of satellites.
  • the satellite 205 may include one or more antenna systems 210 which may support communications with another antenna, such as a separate satellite, a ground station, a user terminal, or the like.
  • the antenna system 210 may include a phased array antenna, a direct radiating array, a phased array fed reflector (PAFR) antenna, or any other components known in the art for transmission and/or reception of signals of a communication service.
  • PAFR phased array fed reflector
  • an antenna system 210 may support communication via one or more beamformed spot beams (e.g., a spot beam associated with directional transmission, a spot beam associated with directional reception, a spot beam associated with directional transmission and directional reception), which may be referred to as beams, service beams, satellite beams, or any other suitable terminology.
  • beamformed spot beams e.g., a spot beam associated with directional transmission, a spot beam associated with directional reception, a spot beam associated with directional transmission and directional reception
  • Signals may be passed via an array of feed elements of an antenna system 210, which may each include or be otherwise coupled with one or more circuits 215 (e.g., circuit 215-a, circuit 215-b, circuit 215-c, circuit 215-d, and circuit 215-e) to support signal manipulation, such as RF signal transducers, low noise amplifiers (LNAs), high power amplifier (HPAs), RF amplifiers, intermediate frequency (IF) amplifiers, or a combination thereof, and may be coupled with transponders for performing other signal processing such as frequency conversion, beamforming processing, and the like.
  • circuits 215 e.g., circuit 215-a, circuit 215-b, circuit 215-c, circuit 215-d, and circuit 215-e
  • LNAs low noise amplifiers
  • HPAs high power amplifier
  • IF intermediate frequency amplifiers
  • the circuits 215 may be cascaded together (e.g., in series, as depicted in FIG.2), or may be arranged in other configurations in accordance with operation of the antenna system 210.
  • the antenna system 210 may be characterized, in part, by a total or system metric, such as a system gain.
  • the system gain may result from individual gains of components of the antenna system 210, including the one or more circuits 215, among other components.
  • a circuit 215 may operate according to one or more settings that may influence or determine a configurable metric of the circuit 215. For example, if the circuit 215 includes an amplifier, such as an LNA, the circuit 215 may support an adaptive gain setting.
  • Such a setting may allow the circuit 215 to modify the gain of output signals.
  • the circuit 215 may support a “low” setting associated with a relatively small gain and may support a “high” setting associated with a relatively large gain.
  • the circuit 215 may support multiple settings corresponding to various gain levels. For example, the circuit 215 may support a minimum setting corresponding to a smallest supported gain, a maximum setting corresponding to a largest supported gain, and one or more intermediate settings corresponding to intermediate gains. Different circuits 215 may have different ranges or granularities of settings.
  • the satellite 205 may dynamically adjust the system gain of the antenna system 210 to a desired or target gain 230.
  • the desired gain of the antenna system 210 may change based on operation conditions, such as a distance to the target device, an angle between a boresight of the antenna system 210 and the target device, various gain characteristics, noise characteristics, sidelobe characteristics, beam width characteristics, or other characteristics or combinations of characteristics, frequency, signaling direction (e.g., transmission or reception, forward link or return link), operating temperature, operating voltage, or other characteristics or conditions.
  • the satellite 205 may support dynamic adjustment of the settings of the circuits 215 to modify the system gain.
  • the satellite 205 may include circuitry and logic, such as one or more processors, controllers, or the like, that may modify each of the settings of the circuits 215. Such modification may occur as part of instructions programmed to the satellite (e.g., software, firmware), in response to commands or other control signaling received by the satellite 205, or both.
  • the satellite 205 may modify the settings of the circuits 215 to configure the system gain of the antenna system 210 to achieve (e.g., be within a threshold of) a target gain 230.
  • the system gain of the antenna system 210 may further change in response to operating conditions, such as the temperature 220 of the satellite 205 and the frequency 225 (e.g., channel) at which the antenna system 210 is communicating. Accordingly, the composite gain 235 and individual settings of the circuits 215 used to achieve a target gain 230 may also depend on the temperature and frequency.
  • the satellite 205 may utilize a table 240 that indicates, for a specified temperature 220 and frequency 225, the composite gain 235 that causes the system gain of the antenna system 210 to match (e.g., be within a threshold of) a specified target gain 230.
  • the satellite 205 may determine (e.g., using temperature sensors or the like) the temperature 220-a of the satellite 205. Further, the satellite 205 may determine a target gain 230-a for the communication (e.g., based on the operating conditions of the satellite 205 as described herein). The satellite 205 may use a look-up procedure (e.g., a search algorithm or other appropriate method) using the table 240 to determine the setting combination 250-a associated with achieving the target gain 230-a (e.g., a closest approximation to the target gain 230-a) at the temperature 220-a and frequency 225-a.
  • a look-up procedure e.g., a search algorithm or other appropriate method
  • composite gains 235 may be different for the same target gain.
  • composite gain 235-b for setting combination 250-b, temperature 220-b, and frequency 225-b may be different from composite gain 235-a for setting combination 250-a, temperature 220-a, and frequency 225-a due to granularity of the settings of circuits 215.
  • Table 240 may also include the composite gain 235 (e.g., composite gains 235-a, 235-b, 235-c, 235-n) across a range of settings (e.g., setting combinations 250-a, 250-b, 250-c, 250-n), temperatures 220 (e.g., temperatures 220-a, 220-b, 220-n), and frequencies 225 (e.g., frequencies 225-a, 225-b, 225-n), such that the composite gain 235-a at the temperature 220-a and frequency 225-a may be used in determination of other communication parameters (e.g., modulation and coding scheme (MCS)).
  • MCS modulation and coding scheme
  • the satellite 205 may configure the circuits 215 with the identified combination 250-a to achieve the target gain 230-a.
  • the table 240 may be programmed to the satellite 205 (e.g., to a memory device of the satellite 205), for example during calibration of the satellite 205, by transmitting the table 240 to the satellite 205, or the like.
  • Each composite gain 235 may correspond to a particular combination 250 of settings of the circuits 215. However, although multiple combinations 250 of settings may be used to achieve a given composite gain 235, certain combinations 250 may be preferred over other combinations 250. For example, a combination 250 having a relatively high setting for a circuit 215-a and a relatively low setting for a circuit 215-b may result in excessive noise or may otherwise cause the antenna system 210 to be inoperable.
  • the first combination 250 may be associated with a higher power usage compared with the second combination 250, and thus the second combination 250 may be preferred.
  • the preferred combinations 250 of settings may be determined by observing each possible combination 250 at a specified temperature and frequency, and removing combinations 250 having undesirable effects, such as high noise, high power usage, or the like. The remaining combinations 250 may be sorted (e.g., by the composite gain 235 associated with the combination 250) to generate a table 245 that associates each preferred combination 250 of settings for each circuit 215 with a composite gain 235.
  • the granularity of the composite gains 235 may be finer than the granularity of the target gains 230.
  • the difference (e.g., step size) between consecutive composite gains 235 in the table 245 may be smaller than the difference between consecutive target gains 230 of the table 240.
  • the table 245 may be used in interpolation of the measured points to determine the setting combinations 250 for each target gain 230 at each temperature 220 and frequency 225 of table 240.
  • setting combination 250-d may correspond to composite gain 235-d
  • setting combination 250-e may correspond to composite gain 235-e
  • FIG.3 shows an example of a parameter space 300 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • the parameter space 300 may illustrate one or more planes 305, each plane 305 corresponding to a different target gain 230, which may be an example of a set point for an antenna system 210.
  • a plane 305-a may correspond to the target gain 230-a
  • a plane 305-b may correspond to the target gain 230-b
  • so on up to a plane 305-n corresponding to the target gain 305-n.
  • Each plane 305 may include a set of frequencies 225 and a set of temperatures 220 associated with operating a satellite (e.g., an antenna system 210 of a satellite 205).
  • a set of measurements of the composite gain 235 may be made across the parameter space 300. For example, for each measured frequency 225 and temperature 220, the individual settings of the one or more circuits 215 of the antenna system 210 may be set to one or more combinations and the resulting system gain for each combination may be measured. Based on the measured system gain, measured points that fall on a target gain 230 may be sorted to the target gain 230, while measured points that do not fall on a target gain 230 may be used for inter-plane interpolation (e.g., with other measured points that either do or do not fall on target gains 230) to obtain points 315 on the planes 305 associated with target gains 230.
  • inter-plane interpolation e.g., with other measured points that either do or do not fall on target gains 230
  • a target gain 230 may not have any associated measured points.
  • adjusting the settings of the circuits 215 at the specified temperatures 220 and specified frequencies 225 used for the measurements may not result in the target gain 230 corresponding to plane 305-b.
  • Inter-plane interpolation may be used to obtain one or more points on each plane 305.
  • settings of the circuits 215 to achieve the target gain 230 may be interpolated using the measured points and table 245.
  • the set of measured points may include a point 315-e corresponding to first settings (e.g., and an associated first composite gain 235) at a first frequency 225 and a first temperature 220 to achieve a first target gain 230 associated with the plane 305-a and a point 315-f corresponding to second settings (e.g., and an associated second composite gain 235) at a second frequency 225 and a second temperature 220 to achieve a second target gain 230 associated with the plane 305-c.
  • the set of circuits 215 of the antenna system 210 may include three components.
  • point 315-e may correspond to setting combination ⁇ 3,2,0 ⁇ for the components
  • point 315-f may correspond to setting combination ⁇ 1,1,3 ⁇ for the components.
  • a third composite gain 235 between the first composite gain 235 and the second composite gain 235 may be calculated.
  • the calculated value of the third composite gain 235 may be commensurate with the position of the third target gain 230 relative to the first target gain 230 and the second target gain 230.
  • the third composite gain 235 may be estimated to be halfway in- between the first composite gain 235 and the second composite gain 235.
  • Table 245 may be used to interpolate the settings for the components to achieve the third composite gain 235.
  • the points 315-e and 315-f may be mapped into table 245 according to the first composite gain 235 and the second composite gain 235.
  • FIG. 4 shows an example of a portion 400 of a table that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • the setting combination ⁇ 3,2,0 ⁇ corresponding to point 315-e may correspond to gain 420
  • the setting combination ⁇ 1,1,3 ⁇ corresponding to point 315-f may correspond to gain 430.
  • the gain 425 may be calculated based on a target gain of plane 305-b compared to the gains 235 of points 315-e and 315-f.
  • the gain differential 435 may be determined based on a linear interpolation between gain 420 and 430 according to the proportional difference between the target gain 230 of point 315-g compared to the gains 235 of points 315-e and 315-f.
  • differences in frequency or temperature between points 315-e and 315-f may also be interpolated linearly (e.g., point 315-g may be interpolated in a straight line between points 315-e and 315-f).
  • the target gain 230 of point 315-g corresponds to the gain 425 of the portion 400 of the table 245.
  • the setting combinations in the table 245 nearest the calculated gain 425 e.g., ⁇ 2,1,2 ⁇
  • multiple points 315 may be obtained on each plane 305.
  • intra-plane interpolation may be used to obtain setting combinations for each point 315 across the parameter space 300.
  • Intra-plane interpolation may also use table 245 to interpolate setting combinations for the components.
  • interpolating between two points on a plane 305 may involve bisecting a line between the two points 315 to determine setting combinations for an intermediate point 315 at the midpoint of the line, and iteratively bisecting lines between identified intermediate point 315 and other points 315 to “fill in” the table 240.
  • table 245 may be used to select the setting combination that provides a gain halfway in-between the settings of the two other points. For example, if a first point 315 on a plane 305 is associated with a first temperature and a second point 315 on the plane is associated with a second temperature (and both are associated with a same first frequency), the setting combination for a third point 315 in-between the first point 315 and the second point 315 may be obtained by selecting the setting combination that provides a gain in table 245 halfway between the setting combinations associated with the first point 315 and the second point 315.
  • a setting combination for a sixth point 315 in- between the fourth point 315 and the fifth point 315 may be obtained by selecting the setting combination that provides a gain in table 245 halfway between the setting combinations associated with the fourth point 315 and the fifth point 315.
  • a similar procedure may be used to determine a setting combination for a seventh point 315 at the midpoint of the line between the third point 315 and the sixth point 315.
  • the seventh point 315 may be used to determine a setting combination for an eighth point 315, and so on, to fill in a grid of points 315 within the plane 305.
  • points 315 may be selected for the bisection such that the line between the selected points is parallel to either the frequency axis or the temperature axis (e.g., two selected points 315 may have the same temperature or the same frequency).
  • points 315 that are not halfway in-between may also be obtained by applying proportional differences, and may be selected based on distances between points in table 245.
  • the first point 315 may correspond to setting combination ⁇ 2,2,1 ⁇ and the second point 315 may correspond to setting combination ⁇ 2,0,4 ⁇ .
  • Setting combination ⁇ 2,2,1 ⁇ may correspond to gain 440 while setting combination ⁇ 2,0,4 ⁇ may correspond to gain 450.
  • the third point 315 may be selected to fall on setting combination ⁇ 1,2,2 ⁇ , corresponding to gain 445, because the point halfway-in between setting combinations ⁇ 2,2,1 ⁇ and ⁇ 2,0,4 ⁇ may not have a corresponding setting combination in the table 245.
  • the corresponding temperature for the third point corresponding to setting combination ⁇ 1,2,2 ⁇ for the third point 315 may be determined by proportionality from the proportional distances 455 and 460 from the gain values in table 245.
  • points 315 on the plane 305 that have been obtained by measurement or inter-plane interpolation may be used to obtain points 315 on the vertices of each sector 310.
  • the calibration may include performing a two-dimensional “grid-stitching” process for points 315 within each plane 305, in which interpolation (e.g., bilinear interpolation) may be performed within each sector 310 using the corner points as known points for the interpolation to determine the composite gain 235 at intermediate points within a sector 310.
  • interpolation e.g., bilinear interpolation
  • the points 315-a, 315-b, 315-c, and 315-d may be examples of measured points corresponding to corner points of a sector 310 of a particular plane 305 associated with a particular target gain 230.
  • the point 315-a may correspond to a temperature ⁇ ⁇ and a frequency ⁇ ⁇ , and the value of the composite gain 235 at the point 315-a may be equal to ⁇ ⁇ .
  • the point 315-b may correspond to a temperature ⁇ ⁇ and a frequency ⁇ ⁇ , and the value of the composite gain 235 at the point 315-b may be to ⁇ ⁇ .
  • the point 315-c may correspond to a temperature ⁇ ⁇ and a frequency ⁇ ⁇ , and the value of the composite gain 235 at the point 315-c may be equal to ⁇ ⁇ .
  • the point 315-d may correspond to a temperature ⁇ ⁇ and a frequency ⁇ ⁇ , and the value of the composite gain 235 at the point 315-d may be equal to ⁇ ⁇ .
  • the bilinear interpolation method may output fractional values (e.g., values which do not precisely match the composite gains 235 included in the table 245), the outputs may be discretized, such as by rounding each output to the nearest composite gain 235 in the table 245.
  • composite gains 235 for points exterior to a sector 310 may be determined using extrapolation based on the corner points of the sector 310.
  • Each sector 310 within a plane 305 may be concatenated (e.g., “stitched”) together to form the plane 305.
  • Each plane 305 may then be “stacked” (e.g., in order of increasing target gain 230) as depicted in FIG.3 to obtain the parameter space 300.
  • the parameter space 300 (e.g., the measured and calculated points and corresponding composite gains 235) may be encoded into a mapping (e.g., the table 240), which may be stored to the satellite 205 (e.g., in a non-volatile memory device).
  • the table 240 may include the individual settings of the circuits 215 used to achieve a given target gain 230 at a given frequency 225 and a given temperature 220, and the satellite may thus use the given target gain 230, the given frequency 225, and the given temperature 220 to look up the associated settings.
  • a composite gain 235 corresponding to the given target gain 230, frequency 225, and temperature 220 may be identified using the table 240, and the combination of settings corresponding to the identified composite gain 235 may be identified using the table 245.
  • the table 245 may be used as a mapping (e.g., as a transfer function, as a dictionary implemented in memory) to translate between the identified composite gain 235 and the settings used to achieve the given target gain 230.
  • the satellite may configure the set of circuits according to the identified combination to achieve the given target gain 230.
  • FIG.5 shows an example of a process flow 500 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • process flow 500 may be implemented by aspects of the systems 100 and 200.
  • the process flow 500 may include operations performed by aspects of a satellite, such as a satellite 110 or 205 having an antenna system 210.
  • the satellite may include processors and circuits configured to calibrate or program the antenna system, such as by configuring settings of one or more circuits (e.g., circuits 215) within the antenna system.
  • the operations may be performed in a different order than the order shown. Some operations may also be left out of the process flow 500, or other operations may be added to process flow 500.
  • a subset of “L” temperatures may be selected (e.g., where L is less than X)
  • a subset of “M” frequencies may be selected (e.g., where M is less than Y)
  • a subset of “N” target gains may be measure (e.g., where N is less than Z) by setting individual settings of the one or more circuits 215 to one or more combinations and the resulting system gain for each combination may be measured.
  • the calibration method may include measuring the system gain of the antenna system at each combination of the selected temperatures and frequencies using the one or more combinations.
  • measuring the composite gain may include determining the combination of settings of the set of circuits of the antenna system at each selected temperature, frequency, and target gain and identifying the composite gain.
  • calibrating the antenna system may include characterizing the set of circuits to generate the table 245.
  • performing the measurements may include: measuring a standalone antenna in a terrestrial antenna test facility, such as an anechoic chamber; measuring a ground or airborne antenna over-the-air (OTA) and comparing the results against other antennas (e.g., other ground or airborne antennas); measuring an antenna on a satellite in-orbit (e.g., in the vacuum of space) and comparing the results against other antennas (e.g., other in-orbit antennas); or a combination thereof.
  • calibrating the antenna system may include processing the measurements to obtain a parameter space (e.g., the parameter space 300).
  • calibrating the antenna system may include calculating (e.g., using a three-dimensional interpolation method, as described with reference to FIG.3), a composite gain corresponding to each point of the parameter space (e.g., at each of the X supported temperatures, the Y supported frequencies, and the Z supported target gains, for a total of X*Y*Z values).
  • a mapping between the calculated composite gains and points of the parameter space e.g., the table 240
  • a non-volatile memory system associated with the antenna system such as a field-programmable gate array (FPGA) controller lookup table (LUT).
  • the table 245 may be programmed to the non-volatile memory system.
  • the satellite and antenna system may be deployed (e.g., onboard spacecraft) into an Earth orbit, and the satellite may, at 520, periodically program the antenna system to support wireless communication in accordance with examples as described herein. For example, at 525 the satellite may determine a temperature of the antenna system. If the temperature has changed (e.g., compared to an earlier-identified temperature), the satellite may, at 530, obtain at least a portion of the mapping (e.g., a portion corresponding to the identified temperature). At 535, the satellite may program the antenna system, for example by performing a look-up procedure using the portion of the mapping to identify the composite gain associated with the identified temperature, the operating frequency, and the target gain.
  • the satellite may program the antenna system, for example by performing a look-up procedure using the portion of the mapping to identify the composite gain associated with the identified temperature, the operating frequency, and the target gain.
  • FIG.6 shows a block diagram 600 of a calibration system 620 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • the calibration system 620 may be an example of aspects of a calibration system as described with reference to FIGs.1 through 5.
  • the calibration system 620, or various components thereof, may be an example of means for performing various aspects of systems and methods for phased array calibration as described herein.
  • the calibration system 620 may include a measurement component 625, an interpolation component 630, a target identification component 635, a settings control component 640, an operation component 645, an extrapolation component 650, or any combination thereof.
  • Each of these components, or components of subcomponents thereof e.g., one or more processors, one or more memories
  • Processor 655 may include an intelligent hardware device (e.g., a general-purpose processor), a DSP, a CPU, a microcontroller, an ASIC, a field programmable gate array (FPGA), an PLD, a discrete gate or transistor logic component, a discrete hardware component, or any combination thereof).
  • the processor 655 may be configured to execute computer-readable instructions stored in a memory (e.g., memory 660) to cause the calibration system 620 to perform various functions.
  • a memory e.g., memory 660
  • the calibration system 620 or a component of the calibration system 620 may include a processor 655 and memory 660 coupled with the processor 655 that are configured to perform various functions described herein.
  • the measurement component 625 may be configured as or otherwise support a means for obtaining a plurality of measurements of a composite metric of a phased array antenna, wherein the phased array antenna comprises a plurality of components, each of the plurality of components having a respective metric configurable using a respective value, wherein the composite metric corresponds to a composite of the respective metrics of the plurality of components, and wherein the plurality of measurements are measured over a plurality of temperatures, a plurality of frequency channels, and a plurality of combinations of the respective values.
  • the settings control component 640 may be configured as or otherwise support a means for generating a mapping between a subset of combinations of the respective values for the plurality of components and respective values of the composite metric, wherein interpolating the intermediate composite metric points is based at least in part on the mapping.
  • the settings control component 640 may be configured as or otherwise support a means for obtaining, from one or more of the plurality of measurements, one or more first intermediate composite metric points on a first plane of the plurality of planes, wherein obtaining the respective sets of values for the plurality of components for the one or more first intermediate composite metric points is based at least in part on the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric.
  • the interpolation component 630 may be configured as or otherwise support a means for obtaining, based at least in part on at least a subset of the one or more first intermediate composite metric points on the first plane, one or more second intermediate composite metric points on the first plane, wherein obtaining the respective sets of values for the plurality of components for the one or more second intermediate composite metric points is based at least in part on the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric.
  • the extrapolation component 650 may be configured as or otherwise support a means for extrapolating exterior composite metric points of one or more planes of the plurality of planes using the subset of the plurality of temperatures and the subset of the plurality of frequencies within each of the planes, the extrapolated exterior composite metric points each associated with respective values for the plurality of components.
  • the interpolation component 630 may be configured as or otherwise support a means for obtaining the respective set of values of a first intermediate composite metric point on the first plane based at least in part on a first set of values for the plurality of components associated with a first measurement of the plurality of measurements, a second set of values for the plurality of components associated with a second measurement of the plurality of measurements, and a difference between composite metrics for the first set of values and the second set of values from the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric.
  • the plurality of components comprises a plurality of amplifiers associated with the phased array antenna.
  • a first amplifier of the plurality of amplifiers comprises a radio frequency (RF) amplifier
  • a second amplifier of the plurality of amplifiers comprises an intermediate frequency (IF) amplifier.
  • each respective metric comprises a gain of a respective component of the plurality of components.
  • the composite metric comprises a sum of the respective gains of the plurality of components.
  • the first temperature is not included in the plurality of temperatures.
  • the first channel is not included in the plurality of channels.
  • FIG.7 shows a block diagram 700 of a satellite system 720 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure.
  • the satellite system 720 may be an example of aspects of a calibration system as described with reference to FIGs.1 through 6.
  • the satellite system 720, or various components thereof, may be an example of means for performing various aspects of systems and methods for phased array calibration as described herein.
  • the satellite system 720 may be implemented, at least in part, by a satellite, such as the satellite 110 or the satellite 205, and may include a target identification component 735, a settings control component 740, an operation component 745, or any combination thereof.
  • a satellite such as the satellite 110 or the satellite 205
  • Each of these components, or components of subcomponents thereof e.g., one or more processors, one or more memories
  • a general purpose processor may be a microprocessor, but in the alternative, the processor may be any conventional processor, controller, microcontroller, or state machine.
  • a processor may also be implemented as a combination of computing devices (e.g., a combination of a DSP and a microprocessor, multiple microprocessors, one or more microprocessors in conjunction with a DSP core, or any other such configuration).
  • the functions described herein may be implemented in hardware, software executed by a processor, firmware, or any combination thereof. If implemented in software executed by a processor, the functions may be stored on or transmitted over as one or more instructions or code on a computer readable medium. Other examples and implementations are within the scope of the disclosure and appended claims.
  • Computer readable media includes both non transitory computer storage media and communication media including any medium that facilitates transfer of a computer program from one place to another.
  • a non transitory storage medium may be any available medium that can be accessed by a general purpose or special purpose computer.
  • Disk and disc include CD, laser disc, optical disc, digital versatile disc (DVD), floppy disk and Blu ray disc where disks usually reproduce data magnetically, while discs reproduce data optically with lasers. Combinations of the above are also included within the scope of computer readable media.

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Abstract

Methods, systems, and devices for phased array calibration are described.

Description

SYSTEMS AND METHODS FOR PHASED ARRAY CALIBRATION BACKGROUND [0001] The following relates generally to communications, including systems and methods for phased array calibration. [0002] Communications devices may communicate with one another using wired connections, wireless (e.g., radio frequency (RF)) connections, or both. Wireless communications between devices may be performed using a wireless spectrum that has been designated for a service provider, wireless technology, or both. In some examples, the amount of information that can be communicated via a wireless communications network is based on an amount of wireless spectrum designated to the service provider, and an amount of frequency reuse within the region in which service is provided. Satellite communications may use beamforming to establish beams to increase frequency reuse, and may, for example, use phased array antenna systems for beamforming. Phased array systems may use multiple components for generating and amplifying signals for transmission or reception, and may prove challenging to calibrate across multiple operating conditions (e.g., temperature, frequency). SUMMARY [0003] The described techniques relate to improved methods, systems, devices, and apparatuses for phased array calibration. The described techniques provide for calibrating an antenna of a satellite based on operating conditions of the antenna, including performing one or more measurements of a composite metric (e.g., gain) of a set of components of the antenna, as well as individual settings of each of the components, at a subset of supported temperatures and a subset of supported frequencies. Calibrating the phased array antenna may further include processing these measurements to calculate a composite gain corresponding to intermediate points (intermediate temperatures and intermediate frequencies between the temperatures and frequencies at which the composite gain was measured, or extrapolated from the temperatures and frequencies at which the composite gain was measured) associated with each supported target gain of the antenna. A mapping associating each supported temperature, each supported frequency, and each target gain with a corresponding composite gain may be stored to the satellite, and the satellite may use the mapping (e.g., with a look-up procedure using the mapping) to identify settings of the one or more components which result in a desired target gain at a given temperature and frequency. BRIEF DESCRIPTION OF THE DRAWINGS [0004] FIG.1 shows an example of a satellite communication system that supports systems and methods for phased array calibration in accordance with examples described herein. [0005] FIG.2 shows an example of a system that supports systems and methods for phased array calibration in accordance with examples described herein. [0006] FIG.3 shows an example of a parameter space that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. [0007] FIG.4 shows an example of a portion of a table that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. [0008] FIG.5 shows an example of a process flow that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. [0009] FIG.6 shows a block diagram of a calibration system that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. [0010] FIG.7 shows a block diagram of a satellite system that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. [0011] FIG.8 shows a flowchart illustrating methods that support systems and methods for phased array calibration in accordance with aspects of the present disclosure. DETAILED DESCRIPTION [0012] In some examples, a phased array antenna of a satellite may operate in accordance with a target gain for the antenna. For example, to communicate a signal via a beam with another antenna, such as a separate satellite, a ground station, a user terminal, or the like, the satellite may configure the antenna with a target gain to support effective communication. To achieve the target gain, the satellite may configure (e.g., adjust one or more settings of) a composite gain of a set of circuits of the antenna, such as a set of amplifiers (e.g., low-noise amplifiers, power amplifiers) or other signal processing components. However, the system gain of the antenna may additionally vary with the temperature (e.g., operational temperature) of the satellite and the frequency (e.g., channel) at which the satellite communicates the beams. Accordingly, the settings of the set of circuits used to achieve a particular system gain may also vary with the temperature and frequency. In some examples, as part of calibrating the phased array antenna, one or more measurements of the composite gain of the circuits, the settings of the set of circuits, and the final system gain may be made at a set of temperatures and frequencies. Such measurements may allow the satellite to “tune” the settings of the set of circuits based on the current operational temperature, the frequency, and the target gain. However, due to the large quantity of possible combinations of temperature, frequency, and target gain, these measurements may not cover many possible combinations. [0013] As described herein, calibrating a phased array antenna may include performing one or more measurements of a composite gain of a set of components of a phased array antenna, at a subset of a range of individual settings of each of the components, at a subset of supported temperatures, a subset of supported frequencies. Calibrating the phased array antenna may further include processing these measurements (e.g., using a three-dimensional interpolation method as described herein) to calculate a composite gain corresponding to intermediate points (intermediate temperatures and intermediate frequencies between the temperatures and frequencies at which the composite gain was measured) associated with each supported target gain of the phased array antenna. A mapping associating each supported temperature, each supported frequency, and each target gain with a corresponding composite gain may be stored to the satellite, and the satellite may use the mapping (e.g., with a look-up procedure using the mapping) to identify settings of the one or more components which result in a desired target gain at a given temperature and frequency. Such techniques may allow for improved operation of the phased array antenna across varied operating conditions. [0014] Aspects of the disclosure are initially described in the context of satellite communication systems with reference to FIG.1. Aspects of the disclosure are further described in the context of a system, a parameter space, and a process flow in reference to FIGs.2 through 4. Aspects of the disclosure are further illustrated by and described with reference to apparatus diagrams, system diagrams, block diagrams, and flowcharts that relate to systems and methods for phased array calibration with reference to FIGs.4 through 7. [0015] FIG.1 shows an example of a satellite communication system 100 that supports systems and methods for phased array calibration in accordance with examples described herein. The satellite communication system 100 may include a first network 151 of ground stations 135 configured to communicated with one or more terminals 138 via one or more first satellites 110 (e.g., LEO or MEO satellites 110) or a second network 152 of ground stations 135 configured to communicate with one or more second satellites 120 (e.g., GEO satellites). In some cases, some ground stations 135 may be shared between the first network 151 and the second network 152. [0016] The LEO satellites 110 may relay communication signals to a GEO satellite 120 using respective communication links 122 (e.g., the LEO satellite 110-a may communicate with the GEO satellite 120 via the communication link 122-a, and the LEO satellite 110-b may communicate with the GEO satellite 120 via the communication link 122-b). The LEO satellites 110, GEO satellites 120, or both may be equipped with multiple antennas (e.g., one or more antenna feeds or antenna arrays). Additionally, the LEO satellites 110, GEO satellites 120, or both, may transmit communication signals to the ground stations 135, for example to transfer data or other digital information stored on the LEO satellites 110, GEO satellites 120, or both. [0017] A user terminal 138 may be an example of a device configured to communicate with a satellite, such as a LEO satellite 110 or a GEO satellite 120 via a communication link 142. The user terminal 138 may be coupled with or may include one or more transceivers that are configured to process signals received from and to be transmitted through the user terminal 138. [0018] In some examples, the access node transceiver 145 may process the communication signals received at the access nodes 140 — e.g., may downconvert, demodulate, and decode the communication signals. The access node transceiver 145 may also process the communication signals to be transmitted from the access nodes 140 — e.g., may upconvert, encode, and modulate the communication signals. [0019] A ground station 135 may include one or more access nodes 140 which are configured to communicate with a satellite, such as a LEO satellite 110 or a GEO satellite 120 via a communication link 132. The access nodes 140 may be coupled with access node transceivers 145 that are configured to process signals received from and to be transmitted through corresponding access node(s) 140. The access node transceivers 145 may also be configured to interface with a network 125 (e.g., the Internet)—e.g., via a ground-based server 130 (e.g., a network device, a network operations center, satellite and gateway terminal command centers, or other central processing centers or devices) that may provide an interface for communicating with the network 125. The ground station 135 may also contain access nodes 140 with multiple antennas or antenna array elements. [0020] In some examples, the access node transceiver 145 may process the communication signals received at the access nodes 140 — e.g., may downconvert, demodulate, and decode the communication signals. The access node transceiver 145 may also process the communication signals to be transmitted from the access nodes 140 — e.g., may upconvert, encode, and modulate the communication signals. [0021] The LEO satellites 110 may include multiple components installed on a chassis, such as sensing components, processing components, or communication components. The chassis may include structural components as well as power systems for the other components (e.g., solar arrays, batteries), on-board communication (e.g., a communication bus), and station-keeping components (e.g., thrusters, reaction wheels). The communication components may include one or more transponders, configured to support transmitting data to a ground station 135 using antennas and radio frequency (RF) devices onboard the LEO satellite 110. The LEO satellite may be operated by a user for purposes associated with the payload functions (e.g., communications, sensing). For example, the LEO satellites 110 may receive, collect, and store data, such as sensor data gathered by a LEO satellite 110, user data (e.g., communication data) of an entity operating a payload of a LEO satellite, data received from other satellites, or other forms of data. The data may be organized into one or more data packets, which may each include a portion of the data. [0022] Additionally, the GEO satellites 120 may include multiple components installed on a chassis, such as sensing components, processing components, or communication components. The chassis may include structural components as well as power systems for the other components (e.g., solar arrays, batteries), on-board communication (e.g., a communication bus), and station-keeping components (e.g., thrusters, reaction wheels). The communication components may include one or more transponders, configured to support transmitting data to a ground station 135, a LEO satellite 110, or both using antennas and radio frequency (RF) devices onboard the GEO satellite 120. The GEO satellite 120 may be operated by a user for purposes associated with the payload functions (e.g., communications, sensing). For example, the GEO satellites 120 may receive, collect, and store data, such as sensor data gathered by a GEO satellite 120, user data (e.g., communication data) of an entity operating a payload of a GEO satellite 120, data received from other satellites, or other forms of data. The data may be organized into one or more data packets, which may each include a portion of the data. [0023] In some examples, an antenna (e.g., a phased array antenna) of a satellite 110 or a satellite 120 may be calibrated based on operating conditions, such as a temperature of the antenna, an operating frequency channel of the antenna, and so on. Calibrating the antenna may include performing one or more measurements of a composite metric (e.g., gain) of a set of components of the antenna at a subset of a range of individual settings of each of the components. The measurements may be made at each combination of a subset of supported temperatures, a subset of supported frequencies, and various settings of the components. Calibrating the antenna may further include processing these measurements (e.g., using a three-dimensional interpolation method as described herein) to calculate a composite gain corresponding to intermediate points (intermediate temperatures, intermediate frequencies, and intermediate settings of components between or extrapolated from the temperatures, frequencies, and settings at which the composite gain was measured) associated with each supported target gain of the phased array antenna. A mapping associating each supported temperature, each supported frequency, and each target gain with a corresponding composite gain may be stored to the satellite 110, and the satellite 110 may use the mapping (e.g., with a look-up procedure using the mapping) to identify settings of the one or more components which result in a desired target gain at a given temperature and frequency. Such techniques may allow for improved operation of the antenna across varied operating conditions. [0024] FIG.2 shows an example of a system 200 that supports systems and methods for phased array calibration in accordance with examples described herein. The system 200 may illustrate a schematic of various components of a satellite 205, which may be an example of a LEO satellite 110 or a GEO satellite 120, among other types of satellites. The satellite 205 may include one or more antenna systems 210 which may support communications with another antenna, such as a separate satellite, a ground station, a user terminal, or the like. [0025] The antenna system 210 may include a phased array antenna, a direct radiating array, a phased array fed reflector (PAFR) antenna, or any other components known in the art for transmission and/or reception of signals of a communication service. In some examples, an antenna system 210 may support communication via one or more beamformed spot beams (e.g., a spot beam associated with directional transmission, a spot beam associated with directional reception, a spot beam associated with directional transmission and directional reception), which may be referred to as beams, service beams, satellite beams, or any other suitable terminology. [0026] Signals may be passed via an array of feed elements of an antenna system 210, which may each include or be otherwise coupled with one or more circuits 215 (e.g., circuit 215-a, circuit 215-b, circuit 215-c, circuit 215-d, and circuit 215-e) to support signal manipulation, such as RF signal transducers, low noise amplifiers (LNAs), high power amplifier (HPAs), RF amplifiers, intermediate frequency (IF) amplifiers, or a combination thereof, and may be coupled with transponders for performing other signal processing such as frequency conversion, beamforming processing, and the like. The circuits 215 may be cascaded together (e.g., in series, as depicted in FIG.2), or may be arranged in other configurations in accordance with operation of the antenna system 210. In some cases, the antenna system 210 may be characterized, in part, by a total or system metric, such as a system gain. The system gain may result from individual gains of components of the antenna system 210, including the one or more circuits 215, among other components. [0027] A circuit 215 may operate according to one or more settings that may influence or determine a configurable metric of the circuit 215. For example, if the circuit 215 includes an amplifier, such as an LNA, the circuit 215 may support an adaptive gain setting. Such a setting may allow the circuit 215 to modify the gain of output signals. For example, the circuit 215 may support a “low” setting associated with a relatively small gain and may support a “high” setting associated with a relatively large gain. The circuit 215 may support multiple settings corresponding to various gain levels. For example, the circuit 215 may support a minimum setting corresponding to a smallest supported gain, a maximum setting corresponding to a largest supported gain, and one or more intermediate settings corresponding to intermediate gains. Different circuits 215 may have different ranges or granularities of settings. [0028] To support communication between the satellite 205 and a target device, (e.g., a separate satellite, a ground station 135, or a user terminal, among other examples) via one or more beamformed spot beams, the satellite 205 may dynamically adjust the system gain of the antenna system 210 to a desired or target gain 230. For example, the desired gain of the antenna system 210 may change based on operation conditions, such as a distance to the target device, an angle between a boresight of the antenna system 210 and the target device, various gain characteristics, noise characteristics, sidelobe characteristics, beam width characteristics, or other characteristics or combinations of characteristics, frequency, signaling direction (e.g., transmission or reception, forward link or return link), operating temperature, operating voltage, or other characteristics or conditions. [0029] The satellite 205 may support dynamic adjustment of the settings of the circuits 215 to modify the system gain. For example, the satellite 205 may include circuitry and logic, such as one or more processors, controllers, or the like, that may modify each of the settings of the circuits 215. Such modification may occur as part of instructions programmed to the satellite (e.g., software, firmware), in response to commands or other control signaling received by the satellite 205, or both. For example, the satellite 205 may modify the settings of the circuits 215 to configure the system gain of the antenna system 210 to achieve (e.g., be within a threshold of) a target gain 230. [0030] In some examples, the system gain of the antenna system 210 may further change in response to operating conditions, such as the temperature 220 of the satellite 205 and the frequency 225 (e.g., channel) at which the antenna system 210 is communicating. Accordingly, the composite gain 235 and individual settings of the circuits 215 used to achieve a target gain 230 may also depend on the temperature and frequency. To support operation in a variety of operating conditions, the satellite 205 may utilize a table 240 that indicates, for a specified temperature 220 and frequency 225, the composite gain 235 that causes the system gain of the antenna system 210 to match (e.g., be within a threshold of) a specified target gain 230. [0031] For example, to communicate a signal at a chosen frequency 225-a, the satellite 205 may determine (e.g., using temperature sensors or the like) the temperature 220-a of the satellite 205. Further, the satellite 205 may determine a target gain 230-a for the communication (e.g., based on the operating conditions of the satellite 205 as described herein). The satellite 205 may use a look-up procedure (e.g., a search algorithm or other appropriate method) using the table 240 to determine the setting combination 250-a associated with achieving the target gain 230-a (e.g., a closest approximation to the target gain 230-a) at the temperature 220-a and frequency 225-a. Notably, composite gains 235 may be different for the same target gain. For example, composite gain 235-b for setting combination 250-b, temperature 220-b, and frequency 225-b may be different from composite gain 235-a for setting combination 250-a, temperature 220-a, and frequency 225-a due to granularity of the settings of circuits 215. Table 240 may also include the composite gain 235 (e.g., composite gains 235-a, 235-b, 235-c, 235-n) across a range of settings (e.g., setting combinations 250-a, 250-b, 250-c, 250-n), temperatures 220 (e.g., temperatures 220-a, 220-b, 220-n), and frequencies 225 (e.g., frequencies 225-a, 225-b, 225-n), such that the composite gain 235-a at the temperature 220-a and frequency 225-a may be used in determination of other communication parameters (e.g., modulation and coding scheme (MCS)). The satellite 205 may configure the circuits 215 with the identified combination 250-a to achieve the target gain 230-a. [0032] The table 240 may be generated by performing one or more measurements of a composite gain 235 of a set of circuits 215 of the antenna system 210 at a subset of supported temperatures 220, a subset of supported frequencies 225, and a subset of a range of component settings of the set of circuits 215. For example, for each measured frequency 225 and temperature 220, the individual settings of the one or more circuits 215 of the antenna system 210 may be set to one or more combinations and the resulting system gain for each combination may be measured. Based on the measured system gain, each combination may be sorted to a particular target gain 230. In some cases, performing the measurements may include: measuring a standalone antenna in a terrestrial antenna test facility, such as an anechoic chamber; measuring a ground or airborne antenna over-the-air (OTA) and comparing the results against other antennas (e.g., other ground or airborne antennas); measuring an antenna on a satellite in-orbit (e.g., in the vacuum of space) and comparing the results against other antennas (e.g., other in-orbit antennas); or a combination thereof. [0033] Calibrating the antenna system 210 may further include processing these measurements (e.g., using a three-dimensional interpolation method as described in greater detail with reference to FIG.3) to calculate a set of intermediate composite gains 235 corresponding to intermediate points (intermediate temperatures 220, intermediate frequencies 225, or intermediate composite gains 235 between or extrapolated from the temperatures 220 and frequencies 225 at which the composite gain 235 was measured) associated with each supported target gain 230 of the antenna system 210. For example, the measurements may be used as starting or initial points, and the intermediate composite gains 235 of the table 240 may be interpolated or extrapolated according to the intermediate temperatures 220 and intermediate frequencies 225. The table 240 may be programmed to the satellite 205 (e.g., to a memory device of the satellite 205), for example during calibration of the satellite 205, by transmitting the table 240 to the satellite 205, or the like. [0034] Each composite gain 235 may correspond to a particular combination 250 of settings of the circuits 215. However, although multiple combinations 250 of settings may be used to achieve a given composite gain 235, certain combinations 250 may be preferred over other combinations 250. For example, a combination 250 having a relatively high setting for a circuit 215-a and a relatively low setting for a circuit 215-b may result in excessive noise or may otherwise cause the antenna system 210 to be inoperable. Additionally, or alternatively, for a first and second combination 250 that correspond to the same composite gain 235, the first combination 250 may be associated with a higher power usage compared with the second combination 250, and thus the second combination 250 may be preferred. In some examples, the preferred combinations 250 of settings may be determined by observing each possible combination 250 at a specified temperature and frequency, and removing combinations 250 having undesirable effects, such as high noise, high power usage, or the like. The remaining combinations 250 may be sorted (e.g., by the composite gain 235 associated with the combination 250) to generate a table 245 that associates each preferred combination 250 of settings for each circuit 215 with a composite gain 235. In some cases, the granularity of the composite gains 235 may be finer than the granularity of the target gains 230. For example, the difference (e.g., step size) between consecutive composite gains 235 in the table 245 may be smaller than the difference between consecutive target gains 230 of the table 240. The table 245 may be used in interpolation of the measured points to determine the setting combinations 250 for each target gain 230 at each temperature 220 and frequency 225 of table 240. As shown in table 245 of FIG.2, setting combination 250-d may correspond to composite gain 235-d, setting combination 250-e may correspond to composite gain 235-e, and so on to setting combination 250-x corresponding to composite gain 235-x. [0035] FIG.3 shows an example of a parameter space 300 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. The parameter space 300 may illustrate one or more planes 305, each plane 305 corresponding to a different target gain 230, which may be an example of a set point for an antenna system 210. For example, a plane 305-a may correspond to the target gain 230-a, a plane 305-b may correspond to the target gain 230-b, and so on, up to a plane 305-n corresponding to the target gain 305-n. Each plane 305 may include a set of frequencies 225 and a set of temperatures 220 associated with operating a satellite (e.g., an antenna system 210 of a satellite 205). [0036] The parameter space 300 may represent a set of parameters associated with the table 240 (e.g., may be a mathematical representation of the set of frequencies 225, the set of temperatures 220, and the set of target gains 230 associated with the antenna system 210). Each point 315 (e.g., each combination of temperature 220, frequency 225, and target gain 230) in the parameter space 300 may correspond to a composite gain 235. For example, for a specified temperature 220, frequency 225, and target gain 230, adjusting the settings of the circuits 215 to achieve the composite gain 235 may cause the system gain of the antenna system 210 to match (e.g., be within a threshold of) the specified target gain 230. [0037] To calibrate the antenna system 210, a set of measurements of the composite gain 235 may be made across the parameter space 300. For example, for each measured frequency 225 and temperature 220, the individual settings of the one or more circuits 215 of the antenna system 210 may be set to one or more combinations and the resulting system gain for each combination may be measured. Based on the measured system gain, measured points that fall on a target gain 230 may be sorted to the target gain 230, while measured points that do not fall on a target gain 230 may be used for inter-plane interpolation (e.g., with other measured points that either do or do not fall on target gains 230) to obtain points 315 on the planes 305 associated with target gains 230. [0038] In some cases, a target gain 230 (e.g., an associated plane 305) may not have any associated measured points. For example, adjusting the settings of the circuits 215 at the specified temperatures 220 and specified frequencies 225 used for the measurements may not result in the target gain 230 corresponding to plane 305-b. Inter-plane interpolation may be used to obtain one or more points on each plane 305. In such cases, settings of the circuits 215 to achieve the target gain 230 may be interpolated using the measured points and table 245. By way of illustrative example, the set of measured points may include a point 315-e corresponding to first settings (e.g., and an associated first composite gain 235) at a first frequency 225 and a first temperature 220 to achieve a first target gain 230 associated with the plane 305-a and a point 315-f corresponding to second settings (e.g., and an associated second composite gain 235) at a second frequency 225 and a second temperature 220 to achieve a second target gain 230 associated with the plane 305-c. [0039] In a simplified example, the set of circuits 215 of the antenna system 210 may include three components. In the example, point 315-e may correspond to setting combination {3,2,0} for the components, while point 315-f may correspond to setting combination {1,1,3} for the components. To estimate the setting combination to achieve a third target gain 230 associated with the plane 305-b at a third frequency 225 between the first frequency 225 and the second frequency 225 and at a third temperature 220 between the first temperature 220 and the second temperature 220, a third composite gain 235 between the first composite gain 235 and the second composite gain 235 may be calculated. In some cases, the calculated value of the third composite gain 235 may be commensurate with the position of the third target gain 230 relative to the first target gain 230 and the second target gain 230. For example, if the third target gain 230 is halfway in-between the first target gain 230 and the second target gain 230, the third composite gain 235 may be estimated to be halfway in- between the first composite gain 235 and the second composite gain 235. [0040] Table 245 may be used to interpolate the settings for the components to achieve the third composite gain 235. In some cases, the points 315-e and 315-f may be mapped into table 245 according to the first composite gain 235 and the second composite gain 235. FIG. 4 shows an example of a portion 400 of a table that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. For example, in the table 245, the setting combination {3,2,0} corresponding to point 315-e may correspond to gain 420, while the setting combination {1,1,3} corresponding to point 315-f may correspond to gain 430. The gain 425 may be calculated based on a target gain of plane 305-b compared to the gains 235 of points 315-e and 315-f. For example, the gain differential 435 may be determined based on a linear interpolation between gain 420 and 430 according to the proportional difference between the target gain 230 of point 315-g compared to the gains 235 of points 315-e and 315-f. In addition, differences in frequency or temperature between points 315-e and 315-f may also be interpolated linearly (e.g., point 315-g may be interpolated in a straight line between points 315-e and 315-f). In the example, the target gain 230 of point 315-g corresponds to the gain 425 of the portion 400 of the table 245. The setting combinations in the table 245 nearest the calculated gain 425 (e.g., {2,1,2}) may then be used to achieve (or approximate) the third target gain 230 for point 315-g. [0041] Using the techniques described above for inter-plane interpolation, multiple points 315 may be obtained on each plane 305. Once multiple points 315 are obtained on each plane 305, intra-plane interpolation may be used to obtain setting combinations for each point 315 across the parameter space 300. Intra-plane interpolation may also use table 245 to interpolate setting combinations for the components. [0042] For example, interpolating between two points on a plane 305 may involve bisecting a line between the two points 315 to determine setting combinations for an intermediate point 315 at the midpoint of the line, and iteratively bisecting lines between identified intermediate point 315 and other points 315 to “fill in” the table 240. For example, to obtain the setting combination for a point 315 halfway in-between two other points along the temperature or frequency axis, table 245 may be used to select the setting combination that provides a gain halfway in-between the settings of the two other points. For example, if a first point 315 on a plane 305 is associated with a first temperature and a second point 315 on the plane is associated with a second temperature (and both are associated with a same first frequency), the setting combination for a third point 315 in-between the first point 315 and the second point 315 may be obtained by selecting the setting combination that provides a gain in table 245 halfway between the setting combinations associated with the first point 315 and the second point 315. [0043] Similarly, if a fourth point 315 on the plane 305 is associated with the first temperature and a fifth point 315 on the plane is associated with the second temperature, and both are associated with a second frequency, a setting combination for a sixth point 315 in- between the fourth point 315 and the fifth point 315 may be obtained by selecting the setting combination that provides a gain in table 245 halfway between the setting combinations associated with the fourth point 315 and the fifth point 315. A similar procedure may be used to determine a setting combination for a seventh point 315 at the midpoint of the line between the third point 315 and the sixth point 315. The seventh point 315, along with an additional known point 315, may be used to determine a setting combination for an eighth point 315, and so on, to fill in a grid of points 315 within the plane 305. In some cases, points 315 may be selected for the bisection such that the line between the selected points is parallel to either the frequency axis or the temperature axis (e.g., two selected points 315 may have the same temperature or the same frequency). [0044] Additionally, or alternatively, points 315 that are not halfway in-between may also be obtained by applying proportional differences, and may be selected based on distances between points in table 245. For example, the first point 315 may correspond to setting combination {2,2,1} and the second point 315 may correspond to setting combination {2,0,4}. Setting combination {2,2,1} may correspond to gain 440 while setting combination {2,0,4} may correspond to gain 450. The third point 315 may be selected to fall on setting combination {1,2,2}, corresponding to gain 445, because the point halfway-in between setting combinations {2,2,1} and {2,0,4} may not have a corresponding setting combination in the table 245. Thus, the corresponding temperature for the third point corresponding to setting combination {1,2,2} for the third point 315 may be determined by proportionality from the proportional distances 455 and 460 from the gain values in table 245. For example, if the first point 315 is associated with a temperature ^^ and the second point 315 is associated with a temperature ^^, the temperature corresponding to the third point 315 may be given by ^^ + ^^^ − ^^^ ∙ ^, where ^ is given by the proportion of the first proportional distance
Figure imgf000014_0001
to the sum of the first proportional distance 455 and the second proportional distance 460. Additionally or alternatively, setting combinations for multiple points 315 in between the first point 315 and the second point 315 may be obtained using the same technique. [0045] In some examples, each plane 305 may be split into a set of sectors 310 (e.g., rectangular sectors), which may represent subsets of the frequencies 225 and temperatures 220 within a plane 305. Initially, points 315 on the plane 305 that have been obtained by measurement or inter-plane interpolation may be used to obtain points 315 on the vertices of each sector 310. [0046] The calibration may include performing a two-dimensional “grid-stitching” process for points 315 within each plane 305, in which interpolation (e.g., bilinear interpolation) may be performed within each sector 310 using the corner points as known points for the interpolation to determine the composite gain 235 at intermediate points within a sector 310. [0047] By way of illustrative example of the interpolation method, the points 315-a, 315-b, 315-c, and 315-d may be examples of measured points corresponding to corner points of a sector 310 of a particular plane 305 associated with a particular target gain 230. The point 315-a may correspond to a temperature ^^ and a frequency ^^, and the value of the composite gain 235 at the point 315-a may be equal to ^^^. The point 315-b may correspond to a temperature ^^ and a frequency ^^, and the value of the composite gain 235 at the point 315-b may be
Figure imgf000015_0001
to ^^^. The point 315-c may correspond to a temperature ^^ and a frequency ^^, and the value of the composite gain 235 at the point 315-c may be equal to ^^^. The point 315-d may correspond to a temperature ^^ and a frequency ^^, and the value of the composite gain 235 at the point 315-d may be equal to ^^^. Accordingly, using bilinear interpolation, the value ^ of the composite gain 235 at a point ^^, ^^ within the sector 310 may be estimated as ^ = ^ ^ ^^^^^ + ^^^^^^ + ^^^^^^ + ^^^^^^, where ^^^ = ^ ^ ^^^^^ ^ ^^^ ^ ^ ^^ ^ ^ ^^^^^^ ^^^^^^^ ^, ^^^ = ^ ^^ ^^^ ^^^^^^ ^^^^^^^ ^,
Figure imgf000015_0002
^ ^^^^ ^^^^^^^ ^ ^^^^^^ ^^^^^^^ ^ methods may be used, such as a polynomial fit method. Because the bilinear interpolation method may output fractional values (e.g., values which do not precisely match the composite gains 235 included in the table 245), the outputs may be discretized, such as by rounding each output to the nearest composite gain 235 in the table 245. [0048] In some cases (e.g., to account for corner cases), composite gains 235 for points exterior to a sector 310 may be determined using extrapolation based on the corner points of the sector 310. Each sector 310 within a plane 305 may be concatenated (e.g., “stitched”) together to form the plane 305. Each plane 305 may then be “stacked” (e.g., in order of increasing target gain 230) as depicted in FIG.3 to obtain the parameter space 300. The parameter space 300 (e.g., the measured and calculated points and corresponding composite gains 235) may be encoded into a mapping (e.g., the table 240), which may be stored to the satellite 205 (e.g., in a non-volatile memory device). In some examples, the table 240 may include the individual settings of the circuits 215 used to achieve a given target gain 230 at a given frequency 225 and a given temperature 220, and the satellite may thus use the given target gain 230, the given frequency 225, and the given temperature 220 to look up the associated settings. Additionally, or alternatively, to determine the individual settings of the circuits 215 used to achieve a given target gain 230 at a given frequency 225 and a given temperature 220, a composite gain 235 corresponding to the given target gain 230, frequency 225, and temperature 220 may be identified using the table 240, and the combination of settings corresponding to the identified composite gain 235 may be identified using the table 245. For example, the table 245 may be used as a mapping (e.g., as a transfer function, as a dictionary implemented in memory) to translate between the identified composite gain 235 and the settings used to achieve the given target gain 230. The satellite may configure the set of circuits according to the identified combination to achieve the given target gain 230. [0049] FIG.5 shows an example of a process flow 500 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. In some examples, process flow 500 may be implemented by aspects of the systems 100 and 200. For example, the process flow 500 may include operations performed by aspects of a satellite, such as a satellite 110 or 205 having an antenna system 210. In some examples, the satellite may include processors and circuits configured to calibrate or program the antenna system, such as by configuring settings of one or more circuits (e.g., circuits 215) within the antenna system. In the following description of the process flow 500, the operations may be performed in a different order than the order shown. Some operations may also be left out of the process flow 500, or other operations may be added to process flow 500. [0050] The process flow 500 may illustrate a process to program the antenna system based on operating conditions of the antenna system. For example, the satellite may program the antenna system to achieve a desired system gain based on an operating temperature, an operating frequency, and a target gain. [0051] At 505, calibrating the antenna system may include making one or measurements of the antenna system. By way of example, the supported values of temperature may be discretized into a finite set of “X” temperatures, the supported values of frequency (e.g., supported channels) may be discretized into a finite set of “Y” frequencies, and the supported target gains may be discretized into a finite set of “Z” target gains. Of these sets, a subset of “L” temperatures may be selected (e.g., where L is less than X), a subset of “M” frequencies may be selected (e.g., where M is less than Y), and a subset of “N” target gains may be measure (e.g., where N is less than Z) by setting individual settings of the one or more circuits 215 to one or more combinations and the resulting system gain for each combination may be measured. [0052] The calibration method may include measuring the system gain of the antenna system at each combination of the selected temperatures and frequencies using the one or more combinations. In some cases, measuring the composite gain may include determining the combination of settings of the set of circuits of the antenna system at each selected temperature, frequency, and target gain and identifying the composite gain. In some examples, calibrating the antenna system may include characterizing the set of circuits to generate the table 245. In some cases, performing the measurements may include: measuring a standalone antenna in a terrestrial antenna test facility, such as an anechoic chamber; measuring a ground or airborne antenna over-the-air (OTA) and comparing the results against other antennas (e.g., other ground or airborne antennas); measuring an antenna on a satellite in-orbit (e.g., in the vacuum of space) and comparing the results against other antennas (e.g., other in-orbit antennas); or a combination thereof. [0053] At 510, calibrating the antenna system may include processing the measurements to obtain a parameter space (e.g., the parameter space 300). For example, calibrating the antenna system may include calculating (e.g., using a three-dimensional interpolation method, as described with reference to FIG.3), a composite gain corresponding to each point of the parameter space (e.g., at each of the X supported temperatures, the Y supported frequencies, and the Z supported target gains, for a total of X*Y*Z values). At 515, a mapping between the calculated composite gains and points of the parameter space (e.g., the table 240) may be programmed to a non-volatile memory system associated with the antenna system, such as a field-programmable gate array (FPGA) controller lookup table (LUT). Additionally, the table 245 may be programmed to the non-volatile memory system. [0054] In some cases, the satellite and antenna system may be deployed (e.g., onboard spacecraft) into an Earth orbit, and the satellite may, at 520, periodically program the antenna system to support wireless communication in accordance with examples as described herein. For example, at 525 the satellite may determine a temperature of the antenna system. If the temperature has changed (e.g., compared to an earlier-identified temperature), the satellite may, at 530, obtain at least a portion of the mapping (e.g., a portion corresponding to the identified temperature). At 535, the satellite may program the antenna system, for example by performing a look-up procedure using the portion of the mapping to identify the composite gain associated with the identified temperature, the operating frequency, and the target gain. In some cases, the combination of settings corresponding to the identified composite gain may be identified, for example by using a reverse look-up procedure on the table 245 using the identified composite gain to determine the associated combination of settings, and the satellite may configure the set of circuits according to the identified combination. Accordingly, the satellite may operate the antenna system over the operating frequency at the identified temperature using the identified settings. [0055] FIG.6 shows a block diagram 600 of a calibration system 620 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. The calibration system 620 may be an example of aspects of a calibration system as described with reference to FIGs.1 through 5. The calibration system 620, or various components thereof, may be an example of means for performing various aspects of systems and methods for phased array calibration as described herein. For example, the calibration system 620 may include a measurement component 625, an interpolation component 630, a target identification component 635, a settings control component 640, an operation component 645, an extrapolation component 650, or any combination thereof. Each of these components, or components of subcomponents thereof (e.g., one or more processors, one or more memories), may communicate, directly or indirectly, with one another. [0056] Processor 655 may include an intelligent hardware device (e.g., a general-purpose processor), a DSP, a CPU, a microcontroller, an ASIC, a field programmable gate array (FPGA), an PLD, a discrete gate or transistor logic component, a discrete hardware component, or any combination thereof). The processor 655 may be configured to execute computer-readable instructions stored in a memory (e.g., memory 660) to cause the calibration system 620 to perform various functions. For example, the calibration system 620 or a component of the calibration system 620 may include a processor 655 and memory 660 coupled with the processor 655 that are configured to perform various functions described herein. [0057] The measurement component 625 may be configured as or otherwise support a means for obtaining a plurality of measurements of a composite metric of a phased array antenna, wherein the phased array antenna comprises a plurality of components, each of the plurality of components having a respective metric configurable using a respective value, wherein the composite metric corresponds to a composite of the respective metrics of the plurality of components, and wherein the plurality of measurements are measured over a plurality of temperatures, a plurality of frequency channels, and a plurality of combinations of the respective values. The interpolation component 630 may be configured as or otherwise support a means for processing the plurality of measurements to obtain a parameter space, wherein the parameter space comprises a plurality of planes, each plane corresponding to a respective set point of a plurality of set points for the composite metric, and wherein the processing comprises interpolating intermediate composite metric points across at least a subset of the plurality of temperatures and at least a subset of the plurality of frequencies within each of the planes, the interpolated intermediate composite metric points each associated with respective sets of values for the plurality of components. [0058] In some examples, the settings control component 640 may be configured as or otherwise support a means for generating a mapping between a subset of combinations of the respective values for the plurality of components and respective values of the composite metric, wherein interpolating the intermediate composite metric points is based at least in part on the mapping. [0059] In some examples, to support processing the plurality of measurements, the settings control component 640 may be configured as or otherwise support a means for obtaining, from one or more of the plurality of measurements, one or more first intermediate composite metric points on a first plane of the plurality of planes, wherein obtaining the respective sets of values for the plurality of components for the one or more first intermediate composite metric points is based at least in part on the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric. [0060] In some examples, to support processing the plurality of measurements, the interpolation component 630 may be configured as or otherwise support a means for obtaining, based at least in part on at least a subset of the one or more first intermediate composite metric points on the first plane, one or more second intermediate composite metric points on the first plane, wherein obtaining the respective sets of values for the plurality of components for the one or more second intermediate composite metric points is based at least in part on the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric. [0061] In some examples, to support processing the plurality of measurements, the extrapolation component 650 may be configured as or otherwise support a means for extrapolating exterior composite metric points of one or more planes of the plurality of planes using the subset of the plurality of temperatures and the subset of the plurality of frequencies within each of the planes, the extrapolated exterior composite metric points each associated with respective values for the plurality of components. [0062] In some examples, to support processing the plurality of measurements, the interpolation component 630 may be configured as or otherwise support a means for obtaining the respective set of values of a first intermediate composite metric point on the first plane based at least in part on a first set of values for the plurality of components associated with a first measurement of the plurality of measurements, a second set of values for the plurality of components associated with a second measurement of the plurality of measurements, and a difference between composite metrics for the first set of values and the second set of values from the mapping between the subset of combinations of the respective values for the plurality of components and the respective values of the composite metric. [0063] In some examples, the plurality of components comprises a plurality of amplifiers associated with the phased array antenna. [0064] In some examples, a first amplifier of the plurality of amplifiers comprises a radio frequency (RF) amplifier, and a second amplifier of the plurality of amplifiers comprises an intermediate frequency (IF) amplifier. [0065] In some examples, each respective metric comprises a gain of a respective component of the plurality of components. [0066] In some examples, the composite metric comprises a sum of the respective gains of the plurality of components. [0067] In some examples, the first temperature is not included in the plurality of temperatures. [0068] In some examples, the first channel is not included in the plurality of channels. [0069] FIG.7 shows a block diagram 700 of a satellite system 720 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. The satellite system 720 may be an example of aspects of a calibration system as described with reference to FIGs.1 through 6. The satellite system 720, or various components thereof, may be an example of means for performing various aspects of systems and methods for phased array calibration as described herein. For example, the satellite system 720 may be implemented, at least in part, by a satellite, such as the satellite 110 or the satellite 205, and may include a target identification component 735, a settings control component 740, an operation component 745, or any combination thereof. Each of these components, or components of subcomponents thereof (e.g., one or more processors, one or more memories), may communicate, directly or indirectly, with one another. [0070] Processor 755 may include an intelligent hardware device (e.g., a general-purpose processor), a DSP, a CPU, a microcontroller, an ASIC, a field programmable gate array (FPGA), an PLD, a discrete gate or transistor logic component, a discrete hardware component, or any combination thereof). The processor 755 may be configured to execute computer-readable instructions stored in a memory (e.g., memory 760) to cause the satellite system 720 to perform various functions. For example, the satellite system 720 or a component of the satellite system 720 may include a processor 755 and memory 760 coupled with the processor 755 that are configured to perform various functions described herein. [0071] The target identification component 735 may be configured as or otherwise support a means for identifying a target for the composite metric for operating the phased array antenna at a first temperature and over a first channel. The settings control component 740 may be configured as or otherwise support a means for performing a look up procedure to obtain settings for the respective values for the plurality of components within the parameter space based at least in part on the first temperature, the first channel, and the identified target for the composite metric. The operation component 745 may be configured as or otherwise support a means for operating the phased array antenna over the first channel at the first temperature according to the respective values for the plurality of components. [0072] FIG.8 shows a flowchart illustrating a method 800 that supports systems and methods for phased array calibration in accordance with aspects of the present disclosure. The operations of the method 800 may be implemented by a calibration system or its components as described herein. For example, the operations of the method 800 may be performed by a calibration system as described with reference to FIGs.1 through 7. In some examples, a calibration system may execute a set of instructions to control the functional elements of the calibration system to perform the described functions. Additionally, or alternatively, the calibration system may perform aspects of the described functions using special-purpose hardware. [0073] At 805, the method may include obtaining a plurality of measurements of a composite metric of a phased array antenna, wherein the phased array antenna comprises a plurality of components, each of the plurality of components having a respective metric configurable using a respective value, wherein the composite metric corresponds to a composite of the respective metrics of the plurality of components, and wherein the plurality of measurements are measured over a plurality of temperatures, a plurality of frequency channels, and a plurality of combinations of the respective values. The operations of block 805 may be performed in accordance with examples as disclosed herein. In some examples, aspects of the operations of 805 may be performed by a measurement component 625 as described with reference to FIG.6. [0074] At 810, the method may include processing the plurality of measurements to obtain a parameter space, wherein the parameter space comprises a plurality of planes, each plane corresponding to a respective set point of a plurality of set points for the composite metric, and wherein the processing comprises interpolating intermediate composite metric points across at least a subset of the plurality of temperatures and at least a subset of the plurality of frequencies within each of the planes, the interpolated intermediate composite metric points each associated with respective sets of values for the plurality of components. The operations of block 810 may be performed in accordance with examples as disclosed herein. In some examples, aspects of the operations of 810 may be performed by an interpolation component 630 as described with reference to FIG.6. [0075] At 815, the method may include identifying a target for the composite metric for operating the phased array antenna at a first temperature and over a first channel. The operations of block 815 may be performed in accordance with examples as disclosed herein. In some examples, aspects of the operations of 815 may be performed by a target identification component 635 as described with reference to FIG.6, a target identification component 735 as described with reference to FIG.7, or both. [0076] At 820, the method may include performing a look up procedure to obtain settings for the respective values for the plurality of components within the parameter space based at least in part on the first temperature, the first channel, and the identified target for the composite metric. The operations of block 820 may be performed in accordance with examples as disclosed herein. In some examples, aspects of the operations of 820 may be performed by a settings control component 640 as described with reference to FIG.6, a settings control component 740 as described with reference to FIG.7, or both. [0077] At 825, the method may include operating the phased array antenna over the first channel at the first temperature according to the respective values for the plurality of components. The operations of block 825 may be performed in accordance with examples as disclosed herein. In some examples, aspects of the operations of 825 may be performed by an operation component 745 as described with reference to FIG.7. [0078] It should be noted that these methods describe examples of implementations, and that the operations and the steps may be rearranged or otherwise modified such that other implementations are possible. In some examples, aspects from two or more of the methods may be combined. For example, aspects of each of the methods may include steps or aspects of the other methods, or other steps or techniques described herein. [0079] Information and signals described herein may be represented using any of a variety of different technologies and techniques. For example, data, instructions, commands, information, signals, bits, symbols, and chips that may be referenced throughout the description may be represented by voltages, currents, electromagnetic waves, magnetic fields or particles, optical fields or particles, or any combination thereof. [0080] The various illustrative blocks and modules described in connection with the disclosure herein may be implemented or performed with a general purpose processor, a DSP, an ASIC, an FPGA, or other programmable logic device, discrete gate or transistor logic, discrete hardware components, or any combination thereof designed to perform the functions described herein. A general purpose processor may be a microprocessor, but in the alternative, the processor may be any conventional processor, controller, microcontroller, or state machine. A processor may also be implemented as a combination of computing devices (e.g., a combination of a DSP and a microprocessor, multiple microprocessors, one or more microprocessors in conjunction with a DSP core, or any other such configuration). [0081] The functions described herein may be implemented in hardware, software executed by a processor, firmware, or any combination thereof. If implemented in software executed by a processor, the functions may be stored on or transmitted over as one or more instructions or code on a computer readable medium. Other examples and implementations are within the scope of the disclosure and appended claims. For example, due to the nature of software, functions described herein can be implemented using software executed by a processor, hardware, firmware, hardwiring, or combinations of any of these. Features implementing functions may also be physically located at various positions, including being distributed such that portions of functions are implemented at different physical locations. [0082] Computer readable media includes both non transitory computer storage media and communication media including any medium that facilitates transfer of a computer program from one place to another. A non transitory storage medium may be any available medium that can be accessed by a general purpose or special purpose computer. By way of example, and not limitation, non transitory computer readable media may include RAM, ROM, electrically erasable programmable read-only memory (EEPROM), flash memory, compact disk read-only memory (CDROM) or other optical disk storage, magnetic disk storage or other magnetic storage devices, or any other non transitory medium that can be used to carry or store desired program code means in the form of instructions or data structures and that can be accessed by a general purpose or special purpose computer, or a general purpose or special purpose processor. Also, any connection is properly termed a computer readable medium. For example, if the software is transmitted from a website, server, or other remote source using a coaxial cable, fiber optic cable, twisted pair, digital subscriber line (DSL), or wireless technologies such as infrared, radio, and microwave, then the coaxial cable, fiber optic cable, twisted pair, DSL, or wireless technologies such as infrared, radio, and microwave are included in the definition of medium. Disk and disc, as used herein, include CD, laser disc, optical disc, digital versatile disc (DVD), floppy disk and Blu ray disc where disks usually reproduce data magnetically, while discs reproduce data optically with lasers. Combinations of the above are also included within the scope of computer readable media. [0083] As used herein, including in the claims, “or” as used in a list of items (e.g., a list of items prefaced by a phrase such as “at least one of” or “one or more of”) indicates an inclusive list such that, for example, a list of at least one of A, B, or C means A or B or C or AB or AC or BC or ABC (i.e., A and B and C). Also, as used herein, the phrase “based on” shall not be construed as a reference to a closed set of conditions. For example, an exemplary step that is described as “based on condition A” may be based on both a condition A and a condition B without departing from the scope of the present disclosure. In other words, as used herein, the phrase “based on” shall be construed in the same manner as the phrase “based at least in part on.” [0084] In the appended figures, similar components or features may have the same reference label. Further, various components of the same type may be distinguished by following the reference label by a dash and a second label that distinguishes among the similar components. If just the first reference label is used in the specification, the description is applicable to any one of the similar components having the same first reference label irrespective of the second reference label, or other subsequent reference label. [0085] The description set forth herein, in connection with the appended drawings, describes example configurations and does not represent all the examples that may be implemented or that are within the scope of the claims. The term “exemplary” used herein means “serving as an example, instance, or illustration,” and not “preferred” or “advantageous over other examples.” The detailed description includes specific details for the purpose of providing an understanding of the described techniques. These techniques, however, may be practiced without these specific details. In some instances, well known structures and devices are shown in block diagram form in order to avoid obscuring the concepts of the described examples. [0086] The description herein is provided to enable a person skilled in the art to make or use the disclosure. Various modifications to the disclosure will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other variations without departing from the scope of the disclosure. Thus, the disclosure is not limited to the examples and designs described herein but is to be accorded the broadest scope consistent with the principles and novel features disclosed herein.

Claims

CLAIMS What is claimed is: 1. A method, comprising: obtaining a plurality of measurements of a composite metric (235) of a phased array antenna (210), wherein the phased array antenna (210) comprises a plurality of components (215), each of the plurality of components (215) having a respective metric configurable using a respective value, wherein the composite metric (235) corresponds to a composite of the respective metrics of the plurality of components (215), and wherein the plurality of measurements are measured over a plurality of temperatures (220), a plurality of frequency channels (225), and a plurality of combinations of the respective values; processing the plurality of measurements to obtain a parameter space (300), wherein the parameter space (300) comprises a plurality of planes (305), each plane (305) corresponding to a respective set point (230) of a plurality of set points (230) for the composite metric (235), and wherein the processing comprises interpolating intermediate composite metric points (235) across at least a subset of the plurality of temperatures (220) and at least a subset of the plurality of frequencies (225) within each of the planes (305), the interpolated intermediate composite metric points (235) each associated with respective sets of values for the plurality of components (215); identifying a target for the composite metric (235) for operating the phased array antenna (210) at a first temperature (220-a) and over a first channel (225- a); performing a look up procedure to obtain settings for the respective values for the plurality of components (215) within the parameter space (300) based at least in part on the first temperature (220-a), the first channel (225-a), and the identified target for the composite metric (235); and operating the phased array antenna (210) over the first channel (225-a) at the first temperature (220-a) according to the respective values for the plurality of components (215).
2. The method of claim 1, further comprising: generating a mapping (240) between a subset of combinations of the respective values for the plurality of components (215) and respective values of the composite metric (235), wherein interpolating the intermediate composite metric points (235) is based at least in part on the mapping (240).
3. The method of claim 2, wherein the processing the plurality of measurements comprises: obtaining, from one or more of the plurality of measurements, one or more first intermediate composite metric points (235) on a first plane (305-a) of the plurality of planes (305), wherein obtaining the respective sets of values for the plurality of components (215) for the one or more first intermediate composite metric points (235) is based at least in part on the mapping (240) between the subset of combinations of the respective values for the plurality of components (215) and the respective values of the composite metric (235).
4. The method of claim 3, wherein the processing the plurality of measurements comprises: obtaining, based at least in part on at least a subset of the one or more first intermediate composite metric points (235) on the first plane (305-a), one or more second intermediate composite metric points (235) on the first plane (305-a), wherein obtaining the respective sets of values for the plurality of components (215) for the one or more second intermediate composite metric points (235) is based at least in part on the mapping (240) between the subset of combinations of the respective values for the plurality of components (215) and the respective values of the composite metric (235).
5. The method of any one of claims 3 or 4, wherein processing the plurality of measurements further comprises: extrapolating exterior composite metric points (235) of one or more planes (305) of the plurality of planes (305) using the subset of the plurality of temperatures (220) and the subset of the plurality of frequencies (225) within each of the planes (305), the extrapolated exterior composite metric points (235) each associated with respective values for the plurality of components (215).
6. The method of any one of claims 3 through 5, wherein the processing the plurality of measurements comprises: obtaining the respective set of values of a first intermediate composite metric point (235) on the first plane based at least in part on a first set of values for the plurality of components (215) associated with a first measurement of the plurality of measurements, a second set of values for the plurality of components (215) associated with a second measurement of the plurality of measurements, and a difference between composite metrics (235) for the first set of values and the second set of values from the mapping (240) between the subset of combinations of the respective values for the plurality of components (215) and the respective values of the composite metric (235).
7. The method of any one of claims 1 through 6, wherein the plurality of components (215) comprises a plurality of amplifiers associated with the phased array antenna (210).
8. The method of claim 7, wherein a first amplifier of the plurality of amplifiers comprises a radio frequency (RF) amplifier, and a second amplifier of the plurality of amplifiers comprises an intermediate frequency (IF) amplifier.
9. The method of any one of claims 1 through 8, wherein each respective metric comprises a gain of a respective component of the plurality of components (215).
10. The method of claim 9, wherein the composite metric (235) comprises a sum of the respective gains of the plurality of components (215).
11. The method of any one of claims 1 through 10, wherein the first temperature (220-a) is not included in the plurality of temperatures (220).
12. The method of any one of claims 1 through 11, wherein the first channel (225-a) is not included in the plurality of channels (225).
13. An apparatus, comprising: a phased array antenna (210) comprising a plurality of components (215), each of the plurality of components (215) having a respective metric configurable using a respective value, wherein the phased array antenna (210) is configured to: identify a target for a composite metric (235) for operating the phased array antenna (210) at a first temperature (220-a) and over a first channel (225-a), wherein the composite metric (235) corresponds to a composite of the respective metrics of the plurality of components (215); perform a look up procedure to obtain settings for respective values for the plurality of components (215) within a parameter space based at least in part on the first temperature (220-a), the first channel (225-a), and the identified target for the composite metric (235), the parameter space generated by a process comprising: obtaining a plurality of measurements of the composite metric (235), wherein the plurality of measurements are measured over a plurality of temperatures (220), a plurality of frequency channels (225), and a plurality of combinations of the respective values; and processing the plurality of measurements to obtain the parameter space, wherein the parameter space comprises a plurality of planes (305), each plane corresponding to a set point (230) for the composite metric (235), and wherein the processing comprises interpolating intermediate composite metric points (235) across at least a subset of the plurality of temperatures (220) and at least a subset of the plurality of frequencies within each of the planes (305), the interpolated intermediate composite metric points (235) each associated with respective values for the plurality of components (215); and operate the phased array antenna (210) over the first channel (225-a) at the first temperature (220-a) according to the respective values for the plurality of components (215).
14. The apparatus of claim 13, wherein the process for generating the parameter space further comprises: generating a mapping (240) between a subset of combinations of the respective values for the plurality of components (215) and respective values of the composite metric (235), wherein interpolating the intermediate composite metric points (235) is based at least in part on the mapping (240).
15. The apparatus of any one of claims 13 or 14, wherein the process for generating the parameter space further comprises: extrapolating exterior composite metric points (235) using the subset of the plurality of temperatures (220) and the subset of the plurality of frequencies within each of the planes (305), the extrapolated exterior composite metric points (235) each associated with respective values for the plurality of components (215).
16. The apparatus of any one of claims 13 through 14, wherein the plurality of components (215) comprises a plurality of amplifiers associated with the phased array antenna (210).
17. The apparatus of claim 16, wherein a first amplifier of the plurality of amplifiers comprises a radio frequency (RF) amplifier, and a second amplifier of the plurality of amplifiers comprises an intermediate frequency (IF) amplifier.
18. The apparatus of any one of claims 13 through 17, wherein each respective metric comprises a gain of a respective component of the plurality of components (215).
19. The apparatus of claim 18, wherein the composite metric (235) comprises a sum of the respective gains of the plurality of components (215).
20. The apparatus of any one of claims 13 through 19, wherein the first temperature (220-a) is not included in the plurality of temperatures (220).
21. The apparatus of any one of claims 13 through 20, wherein the first channel (225-a) is not included in the plurality of channels (225).
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