WO2017078940A1 - Procédé et appareil de formation de faisceaux avec antennes couplées - Google Patents

Procédé et appareil de formation de faisceaux avec antennes couplées Download PDF

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Publication number
WO2017078940A1
WO2017078940A1 PCT/US2016/058028 US2016058028W WO2017078940A1 WO 2017078940 A1 WO2017078940 A1 WO 2017078940A1 US 2016058028 W US2016058028 W US 2016058028W WO 2017078940 A1 WO2017078940 A1 WO 2017078940A1
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WIPO (PCT)
Prior art keywords
matrix
channel
antennas
transmitter
source
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Application number
PCT/US2016/058028
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English (en)
Inventor
Colin Frank
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Motorola Mobility Llc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from US14/933,499 external-priority patent/US9660708B1/en
Application filed by Motorola Mobility Llc filed Critical Motorola Mobility Llc
Priority to EP16791200.5A priority Critical patent/EP3342062B1/fr
Priority to CN201680064297.5A priority patent/CN108352880B/zh
Publication of WO2017078940A1 publication Critical patent/WO2017078940A1/fr

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Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413—MIMO systems
    • H04B7/0456—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • H04B7/046—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account
    • H04B7/0465—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account taking power constraints at power amplifier or emission constraints, e.g. constant modulus, into account
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621—Feedback content
    • H04B7/0626—Channel coefficients, e.g. channel state information [CSI]
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0686—Hybrid systems, i.e. switching and simultaneous transmission
    • H04B7/0695—Hybrid systems, i.e. switching and simultaneous transmission using beam selection
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B7/00—Radio transmission systems, i.e. using radiation field
    • H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0868—Hybrid systems, i.e. switching and combining
    • H04B7/088—Hybrid systems, i.e. switching and combining using beam selection

Definitions

  • the present disclosure is directed to a method and apparatus for beamforming with coupled antennas.
  • an optimal beamformer maximizes the signal-to-interference ratio at the receiver subject to a constraint on transmit power.
  • the solution for maximizing the signal-to-interference ratio is known as the eigenbeamformer due to the fact that the optimal transmit weights correspond to the eigenvector of a matrix having the largest eigenvalue. While this method is known, the impact of antenna coupling at the transmitter has typically not been considered in the formulation. However, the effect of the antenna correlation must be considered in the formulation of the eigenbeamformer as it affects the computation of the radiated power, and thus the constraint on radiated power.
  • FIG. 1 is an example block diagram of a system according to a possible
  • FIG. 2 is an example illustration of a two-port model for a two-element array according to a possible embodiment
  • FIG. 3 is an example illustration of a Thevenin source model according to a possible embodiment
  • FIG. 4 is an example illustration of a Norton source model according to a possible embodiment
  • FIG. 5 is an example flowchart illustrating the operation of a transmitting device according to a possible embodiment
  • FIG. 6 is an example block diagram of an apparatus according to a possible embodiment.
  • a first channel matrix H can be transformed into a transformed second channel matrix P ⁇ T s 0UKe H.
  • the first channel matrix H can be a channel from a transmitter array of antennas of the transmitting device to at least one receiver antenna of a receiving device.
  • a precoding matrix Wean be determined that maximizes the capacity for the transformed second channel matrix P ' T source ⁇ subject to a power constraint of the precoding matrix W
  • the channel capacity maximizing precoding matrix Wfor the transformed second channel matrix can be converted into an optimal precoding matrix Ffor the first channel matrix.
  • a signal can be received for transmission.
  • the optimal precoding matrix V can be applied to the signal to generate a precoded signal for transmission over a physical channel.
  • the precoded signal can then be transmitted.
  • FIG. 1 is an example block diagram of a system 100 according to a possible embodiment.
  • the system 100 can include a transmitting device 110 and a receiving device 120.
  • the transmitting device 1 10 can be a User Equipment (UE), a base station, an access point, or any other device that can transmit wireless signals.
  • the receiving device 120 can be a UE, a base station, an access point, or any other device that can receive wireless signals.
  • UE User Equipment
  • a UE can be a wireless terminal, a portable wireless communication device, a smartphone, a cellular telephone, a flip phone, a personal digital assistant, a device having a subscriber identity module, a personal computer, a selective call receiver, a tablet computer, a laptop computer, or any other device that is capable of sending and receiving wireless communication signals.
  • the transmitting device 1 10 can include a precoding matrix determination controller 112, a codebook 114, and an antenna array 116.
  • the precoding matrix determination controller 112 can be one element or can be distributed between different elements.
  • the precoding matrix determination controller 112 can be part of a processor, can be part of a transceiver, can be part of a precoder, can be part of other elements in a transmitting device, and/or can be distributed between combinations of elements in a transmitting device and/or over cloud computing.
  • the receiving device 120 can include at least one antenna 122.
  • the receiving device 120 can have one antenna and in other embodiments the receiving device 120 can have an array of antennas.
  • a first channel matrix H can be transformed into a transformed second channel matrix P ' s 0UKe H.
  • the first channel matrix H can be a channel from a transmitter array of antennas 116 of the transmitting device 1 10 to at least one receiver antenna 122 of the receiving device 120.
  • a precoding matrix Wcm be determined that maximizes the capacity for the transformed second channel matrix P ⁇ T s 0UKe H subject to a power constraint of the precoding matrix W
  • the channel capacity maximizing precoding matrix Wior the transformed second channel matrix can be converted into an optimal precoding matrix V for the first channel matrix.
  • a signal can be received for transmission.
  • the optimal precoding matrix V can be applied to the signal to generate a precoded signal for transmission over a physical channel.
  • the precoded signal can then be transmitted.
  • embodiments can provide for optimal beamforming with coupled antennas of the antenna array 116 and linear source models.
  • a circuit model can be used to model the mutual coupling of the antennas in order to compute an eigenbeamformer for an arbitrary channel matrix H.
  • the eigenbeamformer can be a function of the source used to drive the antenna array, the eigenbeamformer can be computed for both Thevenin and Norton source models.
  • FIG. 2 is an example illustration of a two-port model 200 for a two-element array according to a possible embodiment.
  • the two ports can correspond to two antennas in an antenna array.
  • An -port circuit can be used to model the vector voltage-current relationship for the -ports of the -element antenna array, which can be given by
  • V Z I , where Z can be the Mx M impedance matrix for the array.
  • i and V j denote the current and voltage for the first antenna
  • z 2 and v 2 denote the current and voltage for the second antenna.
  • FIG. 3 is an example illustration of a Thevenin source model 300 according to a possible embodiment.
  • FIG. 4 is an example illustration of a Norton source model 400 according to a possible embodiment.
  • the two linear source models 300 and 400 can be considered for driving an antenna array.
  • Thevenin source model 300 can include ideal voltage sources v s in combination with series impedances Z s Thev, while the Norton source model 400 can include an ideal current source z s in combination with a parallel shunt impedance Z s Nor-
  • the Norton source can yield two-port currents i and voltages v which can be equal to that for the Thevenin source so long as where
  • the peak radiated power (average power is one-half of peak) can be equal to the power delivered to the M-port device and can be given by
  • Z can be the impedance matrix and i can be the vector of input currents.
  • i can be the vector of input currents.
  • the radiated power for the Thevenin source can be given by
  • the antenna currents can be given by where Z can be the impedance matrix for the array. Assuming that all of the power delivered to the array is radiated (i.e., no ohmic or other losses), the radiated power for the Norton source can be given by
  • ⁇ d_NoTMt (1 ⁇ 2 Nor ⁇ ) Re( ( sNor + Z-'Y Z- H ZZ ' (z ⁇ + Z-'Y i s )
  • Thevenin source model 300 which can be the same as for the Thevenin source model 300.
  • ⁇ SJThev [ ⁇ , ⁇ ( ⁇ Sjrhev ) " " " ⁇ Thev.k ( ⁇ SJThev ) ⁇ ⁇ ⁇ ⁇ Thev,M-l ( ⁇ S_Thev )] can denote the channel observed at the receiver from each transmit antenna from a Thevenin source with series impedance Z s Thev . More precisely, let (z s Thev ) denote the channel observed at the receiver when the voltage source vector
  • ⁇ ( ⁇ , ⁇ ) [_ ⁇ ⁇ ( ⁇ , ⁇ ), ⁇ 2 ( ⁇ , ⁇ ),..., ⁇ ⁇ ( ⁇ , ⁇ ) ] ,
  • p k ( ⁇ ) can be the antenna pattern for the k-t antenna element when all of the other elements are removed from the array.
  • the signal y observed at the receiver can be given by
  • n can denote a zero-mean complex Gaussian random variable with variance ⁇ 2 .
  • the signal-to-noise ratio at the receiver can then be given by
  • the optimal beamformer v can maximize
  • e TheY max can be the eigenvector corresponding to the largest eigenvalue, max , of the matrix (p Th v f (A Thev (Z S _ Thev ) (z s Thev ))p ⁇ .
  • the received signal-to-noise ratio for this beamformer can be given by
  • the gain of the optimal beamformer v opt to an arbitrary beamformer v can be given by SNR Thev (v opt ) _ ⁇ (v T (A ⁇ (z s Thev ) hev (Z, S Thev
  • ⁇ ( ⁇ , ⁇ ) [_ ⁇ ⁇ ( ⁇ , ⁇ ), ⁇ 2 ( ⁇ , ⁇ ),..., ⁇ ⁇ ( ⁇ , ⁇ ) ]
  • p k ( ⁇ ) can be the antenna pattern for the k-t antenna element when all of the other elements are removed from the array.
  • the optimal beamformer i can maximize subject to the constraint that i H Q Nor '
  • this matrix can be factored as ⁇ , Nor P 1 N H or P- 1 Nor '
  • the signal-to-noise ratio of the optimal beamformer can be given by
  • the received signal-to-noise ratio for this beamformer can be given by
  • the gain of the optimal beamformer i opt relative to an arbitrary beamformer i can be given by
  • MIMO Multiple Input Multiple Output
  • the MIMO channel can have M transmit antennas and N receive antennas.
  • the Mx N channel matrix can be denoted by H, where H can denote the channel observed at the j-th receive antenna when the precoder v, is applied at the transmitter, where
  • the channel observed at the receiver can be given by TM T P T LH
  • V3 ⁇ 4ev V W H W ⁇ P .
  • a second multi-layer precoding matrix W can be defined such that
  • the vector channel observed at the receiver can be given by
  • V y r P Th 1 ev w " '
  • the Nx 7 received signal vector y can be given by where the Nx 7 vector n can denote a zero-mean complex Gaussian random vector with covariance matrix given by
  • I NXN can be the identity matrix of dimension N.
  • the channel matrix P T ⁇ V H can be expressed in terms of its singular value decomposition as where U can be a unitary Mx matrix, ⁇ can be an Mx N rectangular diagonal matrix with non-negative real numbers on the diagonal, and X H can be a unitary Nx N matrix where the superscript H denotes the conjugate transpose of the matrix.
  • the columns of U can be the left singular vectors of H
  • the columns of X can be the right singular vectors of P ⁇ H
  • the diagonal elements of ⁇ can be the singular values of P ⁇ H .
  • ⁇ 2 ,... , K ⁇ denote the singular values of P T ⁇ V H in order from top left to bottom right, where K can be defined as the minimum of the number of antenna elements at the transmitter and the receiver, so that
  • the optimal precoder W for the channel P T ⁇ V H can have rank L, where the L columns of W are the L left singular vectors of H belonging to the set J, so that
  • the input signal vector d can have dimension L x 7, so that and the power allocated to the symbol d l can be given by for l ⁇ i ⁇ L .
  • the resulting channel capacity C for the indicated precoder and power allocation can be then given by
  • the precoder that maximizes the capacity of the channel H subject to a power constraint P can be given by
  • V ⁇ P w W can maximize the capacity of the channel P ⁇ H subject to the same power constraint P .
  • the L columns of W can be the L left singular vectors of H belonging to the set J, so that
  • J can be the set of indices ⁇ j 1 , j 2 , ... , j L ⁇ , for which and the real positive value ⁇ can be chosen such that
  • ⁇ ⁇ 0 ⁇ W ( s_ Nor + Re(Z) (Z s Nor + Z ; S Nor and
  • a second multi-layer precoding matrix W can be defined such that
  • the vector channel observed at the receiver can be given by
  • FIG. 5 is an example flowchart 500 illustrating the operation of a transmitting device, such as the device 1 10 or the device 120, according to a possible embodiment.
  • the method of the flowchart 500 can be performed in a user equipment, in a base station, or in any other device that uses precoders and has a transmitter.
  • the flowchart 500 can begin.
  • channel measurements of a channel between a transmitting device and a receiving device can be ascertained. For example, the channel measurements can be made at the transmitting device or the channel measurements can be made at the receiving device and signaled back to the transmitting device.
  • a first channel matrix H can be transformed into a transformed second channel matrix P ⁇ T s 0 urce , where the term " ⁇ T " can indicate an inverse transpose.
  • the first channel matrix H can be a channel from a transmitter array of antennas of the transmitting device to at least one receiver antenna of the receiving device.
  • the transmitter array of antennas can be mutually coupled in that voltage or current applied to one antenna element can induce a voltage or current on another antenna element in the transmitter array of antennas.
  • the first channel matrix H can be based on the channel measurements of the channel between the transmitting device and the receiving device.
  • the first channel matrix H can be based on channel reciprocity, which can be based on the transmitting device taking measurements of reference symbols transmitted by a target receiving device.
  • the first channel matrix H can also be based on channel measurements taken at the target receiving device and signaled back to the transmitting device.
  • a transformation matrix P " Source for the transformation of the second channel matrix P ' s 0UKe H can be an inverse of a square root of a Hermitian and non-negative definite matrix.
  • the transformed second channel matrix P ⁇ T s 0UKe H can be a product of the transformation matrix P "T s 0U rce and the first channel matrix H.
  • the Hermitian and non-negative definite matrix can be a function of a source model of the transmitter, a source impedance of a transmitter of the transmitting device, and an impedance matrix of the transmitter array antennas.
  • Source can be based on
  • Thev can be a diagonal matrix of a transmitter source impedances of the transmitting device and Z can be an impedance matrix of the transmitter array antennas.
  • Psource can also be based on
  • Z s or can be a diagonal matrix of a transmitter source impedances of the transmitting device and Z can be an impedance matrix of the transmitter array antennas.
  • a precoding matrix Wean be determined that maximizes the capacity for the transformed second channel matrix P ⁇ T s 0UKe H subject to a power constraint of the precoding matrix W
  • the precoding matrix can be a one dimensional matrix, such as a vector for a single receive antenna, or can be a multidimensional matrix, such as a two- dimensional matrix for multiple receive antennas.
  • the channel matrix can be a one dimensional matrix or a multidimensional matrix.
  • Each column vector of the precoding matrix Wean be a left singular vector of the transformed second channel matrix P ' s 0UKe H.
  • a power constraint P on the precoding matrix Wean be expressed as where P can denote the power constraint which can be a real positive number and L can be the number of columns in Wand can also be the number of transmission layers.
  • P ' Source can be P ⁇ T Th ev , P "T Noiton, and/or can be based on other models of an antenna array.
  • the channel capacity maximizing precoding matrix Wior the transformed second channel matrix can be converted into an optimal precoding matrix V for the first channel matrix.
  • a signal can be received for transmission.
  • the signal can be a vector signal.
  • the optimal precoding matrix F can be applied to the signal to generate a precoded signal for transmission over a physical channel.
  • Columns of the optimal precoding matrix F can include a plurality of precoding vectors. Applying can include multiplying the vector signal by the optimal precoding matrix Vto generate a precoded signal vector for transmission over a physical channel.
  • the precoded signal can be transmitted.
  • the flowchart 500 can end.
  • FIG. 6 is an example block diagram of an apparatus 600, such as the device 110 or the device 120, according to a possible embodiment.
  • the apparatus 600 can include a housing 610, a controller 620 within the housing 610, audio input and output circuitry 630 coupled to the controller 620, a display 640 coupled to the controller 620, a transceiver 650 coupled to the controller 620, a plurality of antennas 655 and 657, such as an array of antennas, coupled to the transceiver 650, a user interface 660 coupled to the controller 620, a memory 670 coupled to the controller 620, and a network interface 680 coupled to the controller 620.
  • the apparatus 600 can also include additional elements or less elements depending on the device in which it is implemented. The apparatus 600 can perform the methods described in all the embodiments.
  • the display 640 can be a viewfinder, a liquid crystal display (LCD), a light emitting diode (LED) display, a plasma display, a projection display, a touch screen, or any other device that displays information.
  • the transceiver 650 can include a transmitter and/or a receiver.
  • the audio input and output circuitry 630 can include a microphone, a speaker, a transducer, or any other audio input and output circuitry.
  • the user interface 660 can include a keypad, a keyboard, buttons, a touch pad, a joystick, a touch screen display, another additional display, or any other device useful for providing an interface between a user and an electronic device.
  • the network interface 680 can be a Universal Serial Bus (USB) port, an Ethernet port, an infrared transmitter/receiver, an IEEE 1396 port, a WLAN transceiver, or any other interface that can connect an apparatus to a network, device, or computer and that can transmit and receive data communication signals.
  • the memory 670 can include a random access memory, a read only memory, an optical memory, a flash memory, a removable memory, a hard drive, a cache, or any other memory that can be coupled to a wireless communication device.
  • the plurality of antennas 655 and 657 can be considered a transmitter array of antennas when the transceiver 650 is transmitting signals.
  • the transmitter array of antennas 655 and 657 can include two or more antennas.
  • the transmitter array of antennas 655 and 657 can be mutually coupled in that one of a voltage and current applied to one antenna element induces a voltage or current on another antenna element in the transmitter array of antennas 655 and 657.
  • the apparatus 600 or the controller 620 may implement any operating system, such as Microsoft Windows®, UNIX®, or LINUX®, AndroidTM, or any other operating system.
  • Apparatus operation software may be written in any programming language, such as C, C++, Java or Visual Basic, for example.
  • Apparatus software may also run on an application framework, such as, for example, a Java® framework, a NET® framework, or any other application framework.
  • the software and/or the operating system may be stored in the memory 670 or elsewhere on the apparatus 600.
  • the apparatus 600 or the controller 620 may also use hardware to implement disclosed operations.
  • the controller 620 may be any programmable processor.
  • Disclosed embodiments may also be implemented on a general-purpose or a special purpose computer, a programmed microprocessor or microprocessor, peripheral integrated circuit elements, an application- specific integrated circuit or other integrated circuits, hardware/electronic logic circuits, such as a discrete element circuit, a programmable logic device, such as a programmable logic array, field programmable gate-array, or the like.
  • the controller 620 may be any controller or processor device or devices capable of operating a communication device and implementing the disclosed embodiments.
  • the controller 620 can be configured to ascertain channel measurements of a channel between the apparatus 600 and a receiving device.
  • the channel measurements can be ascertained based on channel reciprocity, which can be based on the apparatus 600 taking measurements of reference symbols transmitted by a target receiving device.
  • the channel measurements can also be ascertained based on channel measurements taken at a target receiving device and signaled back to the apparatus 600.
  • the controller 620 can transform a first channel matrix H into a transformed second channel matrix P ⁇ T s 0UKe H.
  • the first channel matrix H can be a channel from the transmitter array of antennas 655 and 657 to at least one receiver antenna of a receiving device.
  • the first channel matrix H can be based on the channel
  • a transformation matrix P " Source for the transformation of the second channel matrix P ' sourceH " can be an inverse of a square root of a Hermitian and non-negative definite matrix.
  • the transformed second channel matrix P ' s 0UKe H can be a product of the transformation matrix P "T s 0U rce and the first channel matrix H.
  • the Hermitian and non- negative definite matrix can be a function of a source model of the transmitter of the transceiver 650, a source impedance of the transmitter, and an impedance matrix of the transmitter array antennas 655 and 657.
  • ⁇ ⁇ 0 ⁇ S_N ⁇ ( ⁇ S NOT + Z) H Re(Z)(z S Nor + Z) 1 Z S Nor , and where s or can be a diagonal matrix of a transmitter source impedances of the transmitting device and Z can be an impedance matrix of the transmitter array antennas.
  • the controller 620 can determine a precoding matrix fFthat maximizes the capacity for the transformed second channel matrix P ⁇ T s 0UKe H subject to a power constraint of the precoding matrix W Each column vector of the precoding matrix Wean be a left singular vector of the transformed second channel matrix P ⁇ s 0UKe H.
  • the controller 620 can convert the channel capacity maximizing precoding matrix Wfor the transformed second channel matrix into an optimal precoding matrix V for the first channel matrix. Columns of the optimal precoding matrix V can include a plurality of precoding vectors.
  • the controller 620 can receive a signal for transmission.
  • the signal can be a vector signal.
  • the controller 620 can apply the optimal precoding matrix Vto the signal to generate a precoded signal for transmission over a physical channel.
  • the controller 620 can apply the optimal precoding matrix V y multiplying the vector signal by the optimal precoding matrix Vto generate a precoded signal vector for transmission over a physical channel.
  • the transceiver 650 can transmit the precoded signal over the physical channel via the transmitter array of antennas.
  • Some example embodiments above describe a two-port model for a two-element antenna array, and more generally, an -port model for an -element antenna array.
  • impedance parameters Z matrix
  • admittance parameters can be used to model the antenna array.
  • other sets of parameters can include admittance parameters (Y), hybrid parameters (H), inverse hybrid parameters (G), ABCD parameters (ABCD), scattering parameters (S), scattering transfer parameters (T), and other parameters useful for modeling an antenna array. All of these models are equivalent, even if they look slightly different.
  • the precoder transformation may look slightly different, but is still equivalent to the transformation with the impedance parameters.
  • the transformation can be exactly the same with the exact same or similar mapping of a precoder to a transformed precoder, except that Z can be replaced everywhere by Y '1 , and these can be exactly equal.
  • all the other parameters cases above can be converted to Z parameters and are thus equivalent.
  • the method of this disclosure can be implemented on a programmed processor.
  • the controllers, flowcharts, and modules may also be implemented on a general purpose or special purpose computer, a programmed microprocessor or microcontroller and peripheral integrated circuit elements, an integrated circuit, a hardware electronic or logic circuit such as a discrete element circuit, a programmable logic device, or the like.
  • any device on which resides a finite state machine capable of implementing the flowcharts shown in the figures may be used to implement the processor functions of this disclosure.

Abstract

L'invention concerne un procédé et un appareil assurant une formation de faisceaux à l'aide d'antennes couplées. Une première matrice de canal peut être transformée en une deuxième matrice de canal transformée (530). La première matrice de canal peut être un canal allant d'un réseau émetteur d'antennes du dispositif émetteur à au moins une antenne réceptrice d'un dispositif récepteur. Une matrice de précodage peut être déterminée, qui maximise la capacité pour la deuxième matrice de canal transformée sous une contrainte de puissance de la matrice de précodage (540). La matrice de précodage maximisant la capacité du canal pour la deuxième matrice de canal transformée peut être convertie en une matrice de précodage optimale pour la première matrice de canal (550). Un signal peut être reçu en vue d'une émission (560). La matrice de précodage optimale peut être appliquée au signal pour générer un signal pré-codé en vue d'une émission sur un canal physique (570). Le signal pré-codé peut ensuite être émis (580).
PCT/US2016/058028 2015-08-25 2016-10-21 Procédé et appareil de formation de faisceaux avec antennes couplées WO2017078940A1 (fr)

Priority Applications (2)

Application Number Priority Date Filing Date Title
EP16791200.5A EP3342062B1 (fr) 2015-08-25 2016-10-21 Procédé et appareil de formation de faisceaux avec antennes couplées
CN201680064297.5A CN108352880B (zh) 2015-08-25 2016-10-21 用于利用耦合天线进行波束成形的方法和装置

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Application Number Priority Date Filing Date Title
US14/933,499 2015-11-05
US14/933,499 US9660708B1 (en) 2015-08-25 2015-11-05 Method and apparatus for beamforming with coupled antennas

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