CN101788663B - Predistortion method of spaceborne synthetic aperture radar (SAR) system - Google Patents

Predistortion method of spaceborne synthetic aperture radar (SAR) system Download PDF

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CN101788663B
CN101788663B CN2009100778799A CN200910077879A CN101788663B CN 101788663 B CN101788663 B CN 101788663B CN 2009100778799 A CN2009100778799 A CN 2009100778799A CN 200910077879 A CN200910077879 A CN 200910077879A CN 101788663 B CN101788663 B CN 101788663B
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data
extension set
signal source
predistortion
satellite
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CN101788663A (en
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张群英
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Institute of Electronics of CAS
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Abstract

The invention provides a predistortion method of a spaceborne synthetic aperture radar (SAR) system and relates to the microwave remote sensing technology. The predistortion method comprises the following steps of adopting the design scheme based on SOPC (System On programmable Chip) technology by an SAR signal source extension; designing a data interface between the SAR signal source extension and a data formation extension; and reading the output data of the SAR system through the data interface between the SAR signal source extension and the data formation extension under the control of an SAR system monitoring timing extension and implementing the predistortion software to complete the predistortion of the SAR system. The method can effectively solve the problem that the overall performance index of the system is reduced as the predistortion parameters do not real-timely keep track of changes of the system characteristics in the prior art, simplifies the existing predistortion process and the required auxiliary equipment to a great extent and does not cause complication of the SAR hardware system.

Description

A kind of predistortion method of spaceborne synthetic aperture radar (SAR) system
Technical field
The present invention relates to the microwave remote sensing technique field, is a kind of satellite-borne synthetic aperture radar (SAR) system pre-distortion method.
Background technology
Inevitably there are various errors or non-linear in actual system; Pre-distortion technology is through measuring or analyze the characteristic that obtains real system; System performance that records and ideal system characteristic are compared; Obtain the error function of system,, make the characteristic of real system as far as possible near ideal system again with the actual system of error function correction.Pre-distortion technology is a kind of effective ways that are used for corrective system error, non-linear and distortion.In field widespread uses such as microwave radiometer, microwave altitude gauge, radars, be used for the non-linear and various errors of corrective system transceiver channel at present.
Existing pre-distortion technology exists following problem in aerospace system is used:
L) in real system, As time goes on, because device is constantly aging; And temperature variation that possibly occur or change in voltage, variation has also just taken place in the characteristic of system, is used for this variation that the parameter of predistortion can not tracker originally; Make the effect of predistortion not reach best; In non-AEROSPACE APPLICATION, can in time change pre-distortion parameters, to guarantee the linearization of system performance.But in AEROSPACE APPLICATION, in case after system's emission is entered the orbit, can not change the pre-distortion parameters of system.
2) in the aerospace system, because the hardware redundancy design is generally adopted in the requirement of system's high reliability, promptly every existing main frame of equipment has a same backup machine again.In case certain equipment failure in the system just starts backup machine work.In this case, variation has just taken place in the characteristic of system, and pre-distortion parameters originally can not change with the variation of system performance.
3) measurement of actual pre-distortion parameters generally is under the normal temperature and pressure of ground, to carry out, and can not under space environment, carry out, and pre-distortion parameters can not reflect the characteristic of system under the space environment truly.
4) for space product, repeatedly the dismounting meeting to cabinet brings unreliable factor, in space product, requires to lack the dismounting cabinet as far as possible.Present pre-distortion method needs opening signal source casing structure again, and the data that write in the signal source are remodified, and treats to assemble cabinet again after the predistortion process is accomplished.If before emission, need repeatedly carry out predistortion, then can receive the restriction of above-mentioned factor.
Therefore, under space environment, obtain the parameter of predistortion, and can in time change the problem that pre-distortion parameters is pre-distortion technology application need solution in Spaceborne SAR System according to system's situation in orbit.
Summary of the invention
The objective of the invention is to overcome the problem that prior art exists; Proposition is based on a kind of satellite-borne synthetic aperture radar (SAR) system pre-distortion method of SOPC (SystemOn Programmable Chip) technology; Changed signal source extension set design proposal in the existing Spaceborne SAR System; Can solve effectively in the prior art, the variation that pre-distortion parameters can not the real-time tracking system characteristic makes the defective that entire system performance index descends; Simplify simultaneously the process and the utility appliance that needs of pre existing distortion to a great extent, and can not cause the complicated of satellite-borne SAR hardware system.
For achieving the above object, technical solution of the present invention is:
A kind of predistortion method of spaceborne synthetic aperture radar (SAR) system, it comprises:
Steps A) signal source design, satellite-borne SAR signal source extension set adopts the design proposal based on the SOPC technology;
Step B) data-interface, satellite-borne SAR signal source extension set and data form design data interface between the extension set;
Step C) system's predistortion, under the control of Spaceborne SAR System monitoring timing extension set, satellite-borne SAR signal source extension set is accomplished the predistortion of Spaceborne SAR System through software.
Described pre-distortion method, its said steps A) the signal source design, comprising:
Steps A 1: satellite-borne SAR signal source extension set adopts waveform stored digital direct-read method; The waveform data that will transmit deposits storer in; Under the effect of clock, sense data from storer is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System;
Steps A 2: satellite-borne SAR signal source extension set is based on the SOPC technology, has the flush bonding processor kernel, possesses the function of software and hardware at system programmable;
Steps A 3: before satellites transmits, the gross data I of waveform and the amplitude I of I will transmit aAnd phase place
Figure G2009100778799D00021
Data solidify the wave memorizer M1 in the satellite-borne SAR signal source extension set;
Steps A 4: before satellites transmits, solidify pre-distortion algorithms in the satellite-borne SAR signal source extension set processor;
Steps A 5: after Spaceborne SAR System powers on, the amplitude I of gross data I and I aAnd phase place
Figure G2009100778799D00022
Data are loaded among the internal memory M2 of satellite-borne SAR signal source processor automatically;
Steps A 6: satellite-borne SAR signal source extension set has the regularly ability of the order of extension set transmission of the monitoring of receiving.
Described pre-distortion method, its said step B) data-interface, comprising: form design data interface between two extension sets in satellite-borne SAR signal source and data, satellite-borne SAR signal source extension set reads the data of Spaceborne SAR System output through this interface.
Described pre-distortion method, its said step C) system's predistortion, comprising:
Step C1: in monitoring regularly under the control of extension set, satellite-borne SAR signal source extension set through and data form the output data A that data-interface between the extension set reads Spaceborne SAR System;
Step C2: satellite-borne SAR signal source extension set is carried out predistortion software, asks for the error parameter that is used for predistortion;
Step C3: satellite-borne SAR signal source extension set is carried out predistortion software, the amplitude I of the error parameter revised theory data I of trying to achieve with step C2 aAnd phase place
Figure G2009100778799D00031
Obtain having new amplitude B aWith phase place
Figure G2009100778799D00032
Data B;
Step C4: satellite-borne SAR signal source extension set is carried out predistortion software; Deposit new data B in wave memorizer M3; Under the effect of clock; Satellite-borne SAR signal source extension set sense data from M3 is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System, accomplishes the predistortion of Spaceborne SAR System.
Described pre-distortion method; Its said steps A) among the A6; Satellite-borne SAR signal source extension set has the regularly ability of the order of extension set transmission of the monitoring of receiving; Be meant that satellite-borne SAR signal source extension set is designed with the command reception interface, the algorithm of predistortion is accomplished by the signal source extension set through the programmed control of monitoring timing extension set automatically.
Described pre-distortion method, its said step C) among the C2, ask for the error parameter that is used for predistortion, its step comprises:
Step C11: satellite-borne SAR signal source extension set is carried out and is solidificated in predistortion software wherein, asks for the amplitude A of reading in data A aAnd phase place
Figure G2009100778799D00033
Step C12: satellite-borne SAR signal source extension set is carried out and to be solidificated in predistortion software wherein, asks for the amplitude of reading in data A and the amplitude I of phase place and gross data I aAnd phase place
Figure G2009100778799D00034
Between error delta a with
Figure G2009100778799D00035
Described pre-distortion method among its said step C12, is asked for the amplitude of reading in data A and the amplitude I of phase place and gross data I aAnd phase place
Figure G2009100778799D00041
Between error delta a with
Figure G2009100778799D00042
Be form, adopt direct differentiation method to ask for absolute error, perhaps adopt curve fitting method to ask for the error term of being paid close attention to according to signal.
Described pre-distortion method; Its said step C) system's predistortion step C1 to C4 is in monitoring after regularly extension set sends the order of start-up system predistortion, and the signal source extension set has cured through execution that therein predistortion software accomplishes; Do not need the participation of extraneous utility appliance; In the data B that will pass through predistortion writes the process of entry data memory M3, do not need simultaneously the cabinet in opening signal source, do not need people's intervention, carry out at rail automatically.
Described pre-distortion method, its said step C) software in promptly before satellites transmits, is solidificated in the concrete steps of the predistortion program in the satellite-borne SAR signal source extension set processor:
Step 1: Spaceborne SAR System powers on, and the data of M1 are loaded into M2 automatically;
Step 2: judge the regularly order of extension set of monitoring,, then change step 3,, then deposit predistorting data fixing among the M2 in waveform memory storing M3 if be not enabled in the rail predistortion function if be enabled in the rail predistortion function;
Step 3: the signal source extension set reads gross data I and the amplitude I of I among the M2 aAnd phase place
Figure G2009100778799D00043
Data;
Step 4 under the control of supervisory control comuter, the signal source extension set through and the data-interface that forms between the extension set of data read the data A of Spaceborne SAR System output;
Step 5: ask for and read in data amplitude A aAnd phase place
Figure G2009100778799D00044
Step 6: ask for the amplitude A of reading in data A aAnd phase place
Figure G2009100778799D00045
Amplitude I with gross data I aAnd phase place
Figure G2009100778799D00046
Between error delta a with
Figure G2009100778799D00047
Step 7: with the range error Δ a and the phase error of trying to achieve
Figure G2009100778799D00048
The amplitude I of revised theory data I aAnd phase place
Figure G2009100778799D00049
Obtain having new amplitude B aWith phase place
Figure G2009100778799D000410
Data B;
Step 8: deposit new data B in wave memorizer M3.
The invention has the beneficial effects as follows: on the basis of having adopted a kind of Spaceborne SAR System signal source, realized that the Spaceborne SAR System predistortion can carry out at rail, simplified the process of satellite-borne SAR predistortion in the prior art simultaneously.The predistortion of prior art can not the tracker characteristic variation and carry out predistortion at rail; And the predistortion process is various; Not only need have special-purpose data recording equipment; Assisting of hardware device such as computing machine, movable storage medium also wanted opening signal source cabinet (opening cabinet can not carry out at rail) simultaneously.Pre-distortion method of the present invention can address this problem effectively, and does not need ancillary hardware equipment of the prior art, and has simplified the process of predistortion greatly, can not cause the complicated of satellite-borne SAR hardware system.This invention can also be used for non-aerospace system, simplifies the predistortion process and avoids repetition dismounting cabinet.
Description of drawings
Fig. 1 is present Spaceborne SAR System predistortion process flow diagram;
Fig. 2 is a kind of predistortion method of spaceborne synthetic aperture radar (SAR) system process flow diagram of the present invention;
Fig. 3 is the process flow diagram that the present invention is solidificated in the predistortion program in the satellite-borne SAR signal source extension set processor.
Embodiment
To combine accompanying drawing that the present invention is specified below, and be to be noted that described embodiment only is being convenient to understanding of the present invention, and the present invention is not played any qualification effect.
Fig. 1 is present Spaceborne SAR System predistortion process flow diagram, and Fig. 2 is a kind of predistortion method of spaceborne synthetic aperture radar (SAR) system process flow diagram of the present invention, and wherein, solid box is represented the same treatment mode, and frame of broken lines is represented the different disposal mode.
As depicted in figs. 1 and 2, the present invention is different from the workflow of prior art for the pre-distortion method of Spaceborne SAR System.The inventive method adopts the signal source extension set design proposal based on the SOPC technology, forms on the basis of design data interface between the extension set at signal source extension set and data, and the process of predistortion is all accomplished through carrying out corresponding software in signal source extension set inside.Do not need ancillary hardware equipment in the prior art, and operation such as artificial opening signal source cabinet, and can start the predistortion program in real time according to the different operating state of environmental baseline and main frame or standby host, accomplish the predistortion of Spaceborne SAR System.
Method of the present invention is the satellite-borne SAR signal source extension set that adopts based on the SOPC technology; Realize that with the Virtex-4FX Series FPGA that adopts Xlinx company satellite-borne SAR signal source extension set is embodiment; Adopt digital waveform storage direct-read method to realize that the gross data I of waveform and the amplitude I of I will transmit aAnd phase place
Figure G2009100778799D00051
Data deposit the outer waveform storer M1 of FPGA sheet in, M1 is PROM (Program Read Only Memory); After Spaceborne SAR System powers on, the amplitude I of gross data I and I aAnd phase place
Figure G2009100778799D00052
Data load is in the on-chip memory M2 of FPGA, and M2 is the block RAM (Random Access Memory) of FPGA, after system's power down, and the loss of data among the M2; After receiving the monitoring predistortion order that regularly extension set sends, carry out the predistortion program of wherein solidifying, find the solution the parameter of the process predistortion that makes new advances; Deposit in and be used for waveform memory storing M3; M3 is the block RAM of FPGA, after system's power down, and the loss of data among the M3.Variation according to working environment and the active and standby machine duty of Spaceborne SAR System can start the predistortion process at any time through monitoring timing extension set, makes the performance of Spaceborne SAR System reach optimum.If need not start real-time predistortion function, can be with fixing system's predistorting data and the amplitude I of gross data I and I aAnd phase place
Figure G2009100778799D00061
Data deposit the outer waveform storer M1 of sheet in the lump in, in the predistortion program, fixing predistorting data is called in waveform memory storing M3 and also can.
A kind of predistortion method of spaceborne synthetic aperture radar (SAR) system of the present invention, its concrete steps are:
Steps A) signal source design, satellite-borne SAR signal source extension set adopts the design proposal based on the SOPC technology; Comprise:
Steps A 1: satellite-borne SAR signal source extension set adopts waveform stored digital direct-read method; The waveform data that will transmit deposits storer in; Under the effect of clock, sense data from storer is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System;
Steps A 2: satellite-borne SAR signal source extension set is based on the SOPC technology, has the flush bonding processor kernel, possesses the function of software and hardware at system programmable;
Steps A 3: before satellites transmits, the gross data I of waveform and the amplitude I of I will transmit aAnd phase place Data solidify the wave memorizer M1 in the satellite-borne SAR signal source extension set;
Steps A 4: before satellites transmits, solidify pre-distortion algorithms in the satellite-borne SAR signal source extension set processor;
Steps A 5: after Spaceborne SAR System powers on, the amplitude I of gross data I and I aAnd phase place
Figure G2009100778799D00063
Data are loaded among the internal memory M2 of satellite-borne SAR signal source processor automatically;
Steps A 6: satellite-borne SAR signal source extension set has the regularly ability of the order of extension set transmission of the monitoring of receiving; This ability; Be meant that satellite-borne SAR signal source extension set is designed with the command reception interface, the algorithm of predistortion is accomplished by the signal source extension set through the programmed control of monitoring timing extension set automatically.
Step B) data-interface, satellite-borne SAR signal source extension set and data form design data interface between the extension set; Comprise: form design data interface between two extension sets in satellite-borne SAR signal source and data, satellite-borne SAR signal source extension set reads the data of Spaceborne SAR System output through this interface.
Step C) system's predistortion, under the control of Spaceborne SAR System monitoring timing extension set, satellite-borne SAR signal source extension set is accomplished the predistortion of Spaceborne SAR System through software; Comprise:
Step C1: in monitoring regularly under the control of extension set, satellite-borne SAR signal source extension set through and data form the output data A that data-interface between the extension set reads Spaceborne SAR System.
Step C2: satellite-borne SAR signal source extension set is carried out predistortion software, asks for the error parameter that is used for predistortion, and its step comprises:
Step C21: satellite-borne SAR signal source extension set is carried out and is solidificated in predistortion software wherein, asks for the amplitude A of reading in data A aAnd phase place
Figure G2009100778799D00071
Step C22: satellite-borne SAR signal source extension set is carried out and to be solidificated in predistortion software wherein, asks for the amplitude of reading in data A and the amplitude I of phase place and gross data I aAnd phase place
Figure G2009100778799D00072
Between error delta a with
Asking for error delta a is the form according to signal with ; Adopt direct differentiation method to ask for absolute error, perhaps adopt curve fitting method to ask for the error term of being paid close attention to.
Step C3: satellite-borne SAR signal source extension set is carried out predistortion software, the amplitude I of the error parameter revised theory data I of trying to achieve with step C2 aAnd phase place
Figure G2009100778799D00075
Obtain having new amplitude B aWith phase place
Figure G2009100778799D00076
Data B.
Step C4: satellite-borne SAR signal source extension set is carried out predistortion software; Deposit new data B in wave memorizer M3; Under the effect of clock; Satellite-borne SAR signal source extension set sense data from M3 is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System, accomplishes the predistortion of Spaceborne SAR System.
At step C) in the predistortion step C1 to C4 of system; Be after monitoring timing extension set sends the order of start-up system predistortion; The signal source extension set has cured through execution that therein predistortion software accomplishes, and does not need the participation of extraneous utility appliance, in the data B that will pass through predistortion writes the process of entry data memory M3, does not need the cabinet in opening signal source simultaneously; Do not need people's intervention, carry out at rail automatically.
The present invention is solidificated in the concrete execution in step of the predistortion program among the FPGA, asks for an interview Fig. 3:
Step 1: Spaceborne SAR System powers on, and the data of M1 are loaded into M2 automatically;
Step 2: judge the regularly order of extension set of monitoring,, then change step 3,, then deposit predistorting data fixing among the M2 in waveform memory storing M3 if be not enabled in the rail predistortion function if be enabled in the rail predistortion function;
Step 3: the signal source extension set reads gross data I and the amplitude I of I among the M2 aAnd phase place
Figure G2009100778799D00077
Data;
Step 4 under the control of supervisory control comuter, the signal source extension set through and the data-interface that forms between the extension set of data read the data A of Spaceborne SAR System output;
Step 5: ask for and read in data amplitude A aAnd phase place
Figure G2009100778799D00081
Step 6: ask for the amplitude A of reading in data A aAnd phase place
Figure G2009100778799D00082
Amplitude I with gross data I aAnd phase place
Figure G2009100778799D00083
Between error delta a with
Figure G2009100778799D00084
Δ
Step 7: with the range error Δ a and the phase error of trying to achieve
Figure G2009100778799D00085
The amplitude I of revised theory data I aAnd phase place
Figure G2009100778799D00086
Obtain having new amplitude B aWith phase place Data B;
Step 8: deposit new data B in wave memorizer M3;
More than used embodiment, be not that the present invention is done any pro forma restriction, the related amendments that every foundation technical spirit of the present invention is carried out all still belongs to the scope of claim of the present invention protection.

Claims (6)

1. a predistortion method of spaceborne synthetic aperture radar (SAR) system is characterized in that, comprising:
Steps A) signal source design, satellite-borne SAR signal source extension set adopts the design proposal based on the SOPC technology; Said signal source design comprises:
Steps A 1: satellite-borne SAR signal source extension set adopts waveform stored digital direct-read method; The waveform data that will transmit deposits storer in; Under the effect of clock, sense data from storer is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System;
Steps A 2: satellite-borne SAR signal source extension set is based on the SOPC technology, has the flush bonding processor kernel, possesses the function of software and hardware at system programmable;
Steps A 3: before satellites transmits, the gross data I of waveform and the amplitude I of I will transmit aAnd phase place
Figure FSB00000748175400011
Data solidify the wave memorizer M1 in the satellite-borne SAR signal source extension set;
Steps A 4: before satellites transmits, solidify pre-distortion algorithms in the satellite-borne SAR signal source extension set processor;
Steps A 5: after Spaceborne SAR System powers on, the amplitude I of gross data I and I aAnd phase place
Figure FSB00000748175400012
Data are loaded among the internal memory M2 of satellite-borne SAR signal source processor automatically;
Steps A 6: satellite-borne SAR signal source extension set has the regularly ability of the order of extension set transmission of the monitoring of receiving;
Step B) data-interface, satellite-borne SAR signal source extension set and data form design data interface between the extension set;
Step C) system's predistortion, under the control of Spaceborne SAR System monitoring timing extension set, satellite-borne SAR signal source extension set is accomplished the predistortion of Spaceborne SAR System through software;
Said step C) system's predistortion comprises:
Step C1: in monitoring regularly under the control of extension set, satellite-borne SAR signal source extension set through and data form the output data A that data-interface between the extension set reads Spaceborne SAR System;
Step C2: satellite-borne SAR signal source extension set is carried out predistortion software, asks for the error parameter that is used for predistortion;
Step C3: satellite-borne SAR signal source extension set is carried out predistortion software, the amplitude I of the error parameter revised theory data I of trying to achieve with step C2 aAnd phase place Obtain having new amplitude B aWith phase place
Figure FSB00000748175400021
Data B;
Step C4: satellite-borne SAR signal source extension set is carried out predistortion software; Deposit new data B in wave memorizer M3; Under the effect of clock; Satellite-borne SAR signal source extension set sense data from M3 is amplified the back through digital-to-analog conversion, filtering and is formed transmitting of Spaceborne SAR System, accomplishes the predistortion of Spaceborne SAR System;
Said step C) among the C2, ask for the error parameter that is used for predistortion, its step comprises:
Step C11: satellite-borne SAR signal source extension set is carried out and is solidificated in predistortion software wherein, asks for the amplitude A of reading in data A aAnd phase place
Figure FSB00000748175400022
Step C12: satellite-borne SAR signal source extension set is carried out and to be solidificated in predistortion software wherein, asks for the amplitude of reading in data A and the amplitude I of phase place and gross data I aAnd phase place
Figure FSB00000748175400023
Between error delta a with
2. pre-distortion method according to claim 1; It is characterized in that: data-interface said step B); Comprise: form design data interface between two extension sets in satellite-borne SAR signal source and data, satellite-borne SAR signal source extension set reads the data of Spaceborne SAR System output through this interface.
3. pre-distortion method according to claim 2; It is characterized in that: among the A6 said steps A); Satellite-borne SAR signal source extension set has the regularly ability of the order of extension set transmission of the monitoring of receiving; Be meant that satellite-borne SAR signal source extension set is designed with the command reception interface, the algorithm of predistortion is accomplished by the signal source extension set through the programmed control of monitoring timing extension set automatically.
4. pre-distortion method according to claim 3 is characterized in that: among the said step C12, ask for the amplitude of reading in data A and the amplitude I of phase place and gross data I aAnd phase place
Figure FSB00000748175400025
Between error delta a with
Figure FSB00000748175400026
Be form, adopt direct differentiation method to ask for absolute error, perhaps adopt curve fitting method to ask for the error term of being paid close attention to according to signal.
5. pre-distortion method according to claim 1; It is characterized in that: system's predistortion step C1 to C4 said step C) is in monitoring after regularly extension set sends the order of start-up system predistortion, and the signal source extension set has cured through execution that therein predistortion software accomplishes; Do not need the participation of extraneous utility appliance; In the data B that will pass through predistortion writes the process of entry data memory M3, do not need simultaneously the cabinet in opening signal source, do not need people's intervention, carry out at rail automatically.
6. pre-distortion method according to claim 1 is characterized in that: the software said step C) promptly before satellites transmits, is solidificated in the concrete steps of the predistortion program in the satellite-borne SAR signal source extension set processor:
Step 1: Spaceborne SAR System powers on, and the data of M1 are loaded into M2 automatically;
Step 2: judge the regularly order of extension set of monitoring,, then change step 3,, then deposit predistorting data fixing among the M2 in waveform memory storing M3 if be not enabled in the rail predistortion function if be enabled in the rail predistortion function;
Step 3: the signal source extension set reads gross data I and the amplitude I of I among the M2 aAnd phase place
Figure FSB00000748175400031
Data;
Step 4 under the control of supervisory control comuter, the signal source extension set through and the data-interface that forms between the extension set of data read the data A of Spaceborne SAR System output;
Step 5: ask for and read in data amplitude A aAnd phase place
Figure FSB00000748175400032
Step 6: ask for the amplitude A of reading in data A aAnd phase place
Figure FSB00000748175400033
Amplitude I with gross data I aAnd phase place
Figure FSB00000748175400034
Between error delta a with
Figure FSB00000748175400035
Step 7: with the range error Δ a and the phase error of trying to achieve
Figure FSB00000748175400036
The amplitude I of revised theory data I aAnd phase place
Figure FSB00000748175400037
Obtain having new amplitude B aWith phase place Data B;
Step 8: deposit new data B in wave memorizer M3.
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