CN107976674A - A PRF selection method and system for dual-beam SAR based on optimal azimuth ambiguity - Google Patents
A PRF selection method and system for dual-beam SAR based on optimal azimuth ambiguity Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及一种基于最优方位模糊的双波束SAR的PRF选择方法及系统,属于微波遥感成像技术领域。The invention relates to a PRF selection method and system for dual-beam SAR based on optimal azimuth ambiguity, and belongs to the technical field of microwave remote sensing imaging.
背景技术Background technique
方位向双波束合成孔径雷达(SAR)能够对目标进行多次重访,具备多角度观测、动目标检测等应用模式,是未来SAR系统的发展方向之一。The azimuth dual-beam synthetic aperture radar (SAR) can revisit the target multiple times, and has application modes such as multi-angle observation and moving target detection. It is one of the development directions of the future SAR system.
方位向双波束SAR系统主要存在的技术问题是:方位向双波束SAR在系统设计时,系统关键参数脉冲重复频率(PRF)的最优值很难确定,需要多次迭代进行设计,设计时间及设计成本较高。The main technical problems of the azimuth dual-beam SAR system are: in the system design of the azimuth dual-beam SAR, it is difficult to determine the optimal value of the system key parameter pulse repetition frequency (PRF), which requires multiple iterations for design, and the design time and The design cost is higher.
发明内容Contents of the invention
本发明解决的技术问题为:有鉴于此,克服现有技术不足,提供一种基于最优方位模糊的双波束SAR的PRF选择方法及系统,通过计算方位向双波束SAR系统方位模糊度,再基于最优方位模糊原则,可以有效获得系统PRF最优参数。The technical problem solved by the present invention is: in view of this, to overcome the deficiencies of the prior art, to provide a PRF selection method and system based on optimal azimuth ambiguity dual-beam SAR, by calculating the azimuth ambiguity of the dual-beam SAR system, and then Based on the optimal orientation fuzzy principle, the optimal parameters of the system PRF can be obtained effectively.
本发明解决的技术方案为:一种基于最优方位模糊的双波束SAR的PRF选择方法,步骤如下:The technical solution solved by the present invention is: a PRF selection method based on optimal azimuth ambiguity dual-beam SAR, the steps are as follows:
(1)根据方位向双波束SAR天线方向图,得到方位模糊在多普勒域出现位置,根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度;(1) According to the antenna pattern of the azimuth dual-beam SAR, the location where the azimuth ambiguity appears in the Doppler domain is obtained, and the azimuth ambiguity of the azimuth dual-beam SAR is obtained according to the location where the azimuth ambiguity appears in the Doppler domain;
(2)根据步骤(1)的方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束。(2) According to the azimuth ambiguity of the azimuth dual-beam SAR in step (1), and then according to the sampling theorem and spectrum folding characteristics, formulate the optimal PRF selection method to obtain the optimal PRF, so that one of the dual beams Azimuth ambiguity occurs where the Doppler domain avoids another beam.
还包括步骤(3)如下:Also include step (3) as follows:
(3)通过方位向双波束SAR仿真试验,验证步骤(2)的PRF选择方法的正确性。(3) Through the azimuth dual-beam SAR simulation test, the correctness of the PRF selection method in step (2) is verified.
根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度AASR,步骤如下:According to the position where the azimuth ambiguity appears in the Doppler domain, the azimuth ambiguity AASR of the azimuth dual-beam SAR is obtained, and the steps are as follows:
式中,Ba为多普勒带宽,Boff为多普勒中心频率,G为天线方向图,PRF为脉冲重复频率,f为多普勒频率,i为非0整数。In the formula, B a is the Doppler bandwidth, B off is the Doppler center frequency, G is the antenna pattern, PRF is the pulse repetition frequency, f is the Doppler frequency, and i is a non-zero integer.
步骤(2)根据步骤(1)的方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束,步骤如下:Step (2) According to the azimuth ambiguity of the azimuth dual-beam SAR in step (1), and then according to the sampling theorem and spectrum folding characteristics, formulate the optimal PRF selection method to obtain the optimal PRF, so that one of the dual beams The azimuth ambiguity appears in the Doppler domain to avoid another beam, the steps are as follows:
(2.1)根据方位向双波束SAR的方位模糊度,确定两个波束的中心频率差fc;(2.1) According to the azimuth ambiguity of the azimuth dual-beam SAR, determine the center frequency difference f c of the two beams;
(2.2)当最优脉冲重复频率PRF选为前后向中心频率差2·fc的1/(n+0.5)时,n为正整数,得到PRF,可以使另一波束中心距离主波束最远,带来最小的混叠,如下式:(2.2) When the optimal pulse repetition frequency PRF is selected as 1/(n+0.5) of the front-to-back center frequency difference 2 f c , n is a positive integer, and the PRF is obtained, which can make the center of the other beam farthest from the main beam , resulting in minimal aliasing, as follows:
fc为前后向中心频率差f c is the center frequency difference between front and back
步骤(2)建立方位向双波束星载SAR,通过仿真计算得到最优PRF,跟步骤(2)计算得到的最优PRF相比较,若仿真计算得到最优PRF与步骤(2)计算得到的最优PRF相差一定范围内,则判定步骤(2)选择的最优的PRF选择方法计算得到最优的PRF是正确的,否则,判定步骤(2)选择的最优的PRF选择方法不正确。Step (2) Establish the azimuth dual-beam spaceborne SAR, obtain the optimal PRF through simulation calculation, and compare it with the optimal PRF calculated in step (2). If the optimal PRF differs within a certain range, then the optimal PRF calculated by the optimal PRF selection method selected in step (2) is correct; otherwise, the optimal PRF selection method selected in step (2) is incorrect.
一定范围为10Hz以内。A certain range is within 10Hz.
本发明一种基于最优方位模糊的双波束SAR的PRF选择系统,包括:确定模块、PRF选择模块;The present invention is a PRF selection system based on optimal azimuth fuzzy dual-beam SAR, comprising: a determination module and a PRF selection module;
确定模块,根据方位向双波束SAR天线方向图,得到方位模糊在多普勒域出现位置,根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度,送至PRF选择模块;The determination module obtains the position where the azimuth ambiguity appears in the Doppler domain according to the antenna pattern of the azimuth dual-beam SAR, and obtains the azimuth ambiguity of the azimuth dual-beam SAR according to the position where the azimuth ambiguity appears in the Doppler domain, and sends it to the PRF for selection module;
PRF选择模块,根据从确定模块接收的接收方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束。The PRF selection module formulates the optimal PRF selection method according to the azimuth ambiguity from the receiving azimuth received from the determination module to the dual-beam SAR, and then according to the sampling theorem and spectrum folding characteristics, and obtains the optimal PRF, so that one of the two beams The azimuth ambiguity of the beam avoids another beam where it occurs in the Doppler domain.
还包括验证模块,验证模块通过方位向双波束SAR仿真试验,验证PRF选择模块中的PRF选择方法的正确性。It also includes a verification module, which verifies the correctness of the PRF selection method in the PRF selection module through the azimuth dual-beam SAR simulation test.
确定模块中根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度AASR,公式如下:According to the location where the azimuth ambiguity appears in the Doppler domain in the determination module, the azimuth ambiguity AASR of the azimuth dual-beam SAR is obtained, the formula is as follows:
式中,Ba为多普勒带宽,Boff为多普勒中心频率,G为天线方向图,PRF为脉冲重复频率,f为多普勒频率,i为非0整数。In the formula, B a is the Doppler bandwidth, B off is the Doppler center frequency, G is the antenna pattern, PRF is the pulse repetition frequency, f is the Doppler frequency, and i is a non-zero integer.
PRF选择模块根据方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束,具体如下:The PRF selection module formulates the optimal PRF selection method according to the azimuth ambiguity of the dual-beam SAR in the azimuth direction, and then according to the sampling theorem and spectrum folding characteristics, and obtains the optimal PRF, so that the azimuth ambiguity of one of the two beams is Le field appears to avoid another beam, as follows:
PRF选择模块根据方位向双波束SAR的方位模糊度,确定两个波束的中心频率差fc;当最优脉冲重复频率PRF选为前后向中心频率差2·fc的1/(n+0.5)时,n为正整数,得到PRF,可以使另一波束中心距离主波束最远,带来最小的混叠,如下式:The PRF selection module determines the center frequency difference fc of the two beams according to the azimuth ambiguity of the azimuth double-beam SAR; when the optimal pulse repetition frequency PRF is selected as 1/(n+0.5 ), n is a positive integer, and the PRF is obtained, which can make the center of the other beam farthest from the main beam and bring the minimum aliasing, as shown in the following formula:
fc为前后向中心频率差。f c is the center frequency difference between front and back.
本发明与现有技术相比的优点在于:The advantage of the present invention compared with prior art is:
(1)本发明推导了方位向双波束SAR的方位模糊计算方法,综合考虑了多普勒带宽,多普勒中心频率,天线方向图,脉冲重复频率,多普勒频率,提出了最优方位模糊度选取准则,使得最优方位模糊度选取更加准确,提高了精度。(1) The present invention deduces the azimuth ambiguity calculation method of double-beam SAR in azimuth, comprehensively considers Doppler bandwidth, Doppler center frequency, antenna pattern, pulse repetition frequency, Doppler frequency, proposes optimal azimuth The ambiguity selection criterion makes the optimal orientation ambiguity selection more accurate and improves the precision.
(2)本发明能够通过理论推导和仿真分析得到适合的方位向双波束合成孔径雷达(SAR)方位模糊度计算方法;通过计算不同脉冲重复频率(PRF)下系统的方位模糊度,按照最优方位模糊度选取原则,获得系统PRF最优参数;通过仿真试验验证了本方法的可行性与正确性。(2) The present invention can obtain the suitable azimuth direction dual-beam synthetic aperture radar (SAR) azimuth ambiguity calculation method through theoretical derivation and simulation analysis; Based on the selection principle of orientation ambiguity, the optimal parameters of system PRF are obtained; the feasibility and correctness of this method are verified by simulation experiments.
(3)本发明根据最优方位模糊度选取准则,给出了最优PRF选取方法,结合多方面因素从而准确确定最优PRF。(3) According to the optimal orientation ambiguity selection criterion, the present invention provides an optimal PRF selection method, and combines various factors to accurately determine the optimal PRF.
(4)本发明给出了方位向双波束SAR最优PRF计算方法,根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,在考虑方位向双波束SAR的方位模糊度的情况下能够计算得到最优PRF。(4) The present invention provides an optimal PRF calculation method for azimuth dual-beam SAR. According to the sampling theorem and spectrum folding characteristics, an optimal PRF selection method is formulated, and the azimuth ambiguity of the azimuth dual-beam SAR can be considered. Calculate the optimal PRF.
(5)本发明给出了方位向双波束SAR最优PRF试验验证方法,能够准确确定最优PRF的正确性。(5) The present invention provides an optimal PRF test verification method for azimuth dual-beam SAR, which can accurately determine the correctness of the optimal PRF.
附图说明Description of drawings
图1为本发明的流程图;Fig. 1 is a flowchart of the present invention;
图2为本发明双波束SAR工作模式几何关系图;Fig. 2 is the geometric relationship diagram of the dual-beam SAR working mode of the present invention;
图3为本发明双波束SAR工作模式时序关系图;Fig. 3 is a time series relationship diagram of the dual-beam SAR working mode of the present invention;
图4为本发明方位向双波束SAR多普勒频域示意图;Fig. 4 is a schematic diagram of azimuth dual-beam SAR Doppler frequency domain of the present invention;
图5为不同PRF下系统AASR曲线。Figure 5 shows the AASR curves of the system under different PRFs.
具体实施方式Detailed ways
下面结合附图和具体实施例对本发明做进一步详细描述。The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
本发明公开了一种基于最优方位模糊的双波束SAR的PRF选择方法及系统,能够通过理论推导和仿真分析得到适合的方位向双波束合成孔径雷达(SAR)方位模糊度计算方法;通过计算不同脉冲重复频率(PRF)下系统的方位模糊度,按照最优方位模糊度选取原则,获得系统PRF最优参数;通过仿真试验验证了本方法的可行性与正确性。本方法能够有效获取方位向双波束SAR系统设计中关键参数PRF的最优结果,是完成方位向双波束SAR系统设计的关键步骤,本发明通过计算方位向双波束SAR系统方位模糊度,再基于最优方位模糊原则,可以有效获得系统PRF最优参数。The invention discloses a PRF selection method and system for dual-beam SAR based on optimal azimuth ambiguity, which can obtain a suitable azimuth dual-beam synthetic aperture radar (SAR) azimuth ambiguity calculation method through theoretical derivation and simulation analysis; through calculation According to the azimuth ambiguity of the system at different pulse repetition frequencies (PRF), the optimal parameters of the system PRF are obtained according to the selection principle of the optimal azimuth ambiguity; the feasibility and correctness of this method are verified by simulation experiments. This method can effectively obtain the optimal result of the key parameter PRF in the design of the azimuth dual-beam SAR system, and is a key step in completing the design of the azimuth dual-beam SAR system. The optimal orientation fuzzy principle can effectively obtain the optimal parameters of the system PRF.
本发明实现一种基于最优方位模糊的双波束SAR的PRF选择方法,如图1所示,该方法包括以下步骤:The present invention realizes a kind of PRF selection method based on optimal azimuth ambiguity dual-beam SAR, as shown in Figure 1, the method comprises the following steps:
步骤101:计算方位向双波束SAR方位模糊度;Step 101: Calculate the azimuth ambiguity of the dual-beam SAR in azimuth;
具体的,附图2给出了方位向双波束SAR天线的几何关系图,方位向双波束SAR天线是通过天线产生前后两个对称波束(通常通过相控阵天线产生栅瓣,将第一栅瓣与主瓣调整对称),能够使同一个目标区域会被先后照射两次。当系统工作时,利用主瓣和第一栅瓣同时发射和接收脉冲,接收时两路信号混叠在一个接收窗中,如附图3所示,其中,Txn-1,Txn,Txn+1表示发射的第n-1、第n、第n+1个脉冲,tr表示接收时间。由于前向和后向波束的多普勒频率为一正一负,因此可以在多普勒频域采用带通滤波的方法将两路信号分离,进而分别成像。该模式由于存在两个波束,一个波束成像时另一个波束接收的信号相当于模糊杂波,因此系统的方位模糊度(AASR)计算方式与传统SAR不同,需要重新分析计算。方位模糊是由于合成孔径雷达方位向的脉冲采样工作体制引起的。SAR回波信号的方位多普勒频谱是被天线的双程方向图加权而成,并且方位向使用脉冲重复频率(PRF)来采样。这样高于脉冲重复频率的多普勒信号经过采样后将折叠到方位频谱中心部分的处理带宽之内,从而造成了与主信号频谱的混叠,形成方位模糊。方位模糊度即为方位模糊能量与有用信号能量的比值。Specifically, accompanying drawing 2 shows the geometric relationship diagram of the azimuth dual-beam SAR antenna. The azimuth dual-beam SAR antenna generates two symmetrical beams before and after the antenna (usually the grating lobe is generated by the phased array antenna, and the first grating The lobe is adjusted symmetrically with the main lobe), so that the same target area will be irradiated twice successively. When the system is working, the main lobe and the first grating lobe are used to transmit and receive pulses at the same time, and the two signals are mixed in a receiving window when receiving, as shown in Figure 3, where Tx n-1 , Tx n , Tx n+1 represents the n-1th, nth, and n+1th pulses transmitted, and t r represents the receiving time. Since the Doppler frequencies of the forward and backward beams are positive and negative, the two signals can be separated by band-pass filtering in the Doppler frequency domain, and then imaged separately. Since there are two beams in this mode, the signal received by the other beam is equivalent to ambiguous clutter when one beam is imaging, so the calculation method of the azimuth ambiguity (AASR) of the system is different from that of traditional SAR, and it needs to be re-analyzed and calculated. Azimuth ambiguity is caused by the pulse sampling working system of SAR in azimuth. The azimuth Doppler spectrum of the SAR echo signal is weighted by the two-way pattern of the antenna, and the azimuth is sampled using the pulse repetition frequency (PRF). In this way, the Doppler signal higher than the pulse repetition frequency will be folded into the processing bandwidth of the central part of the azimuth spectrum after being sampled, thus causing aliasing with the main signal spectrum and forming azimuth ambiguity. The azimuth ambiguity is the ratio of the azimuth ambiguity energy to the useful signal energy.
附图4中交叉网格区域为成像信号能量,通过PRF采样后天线其他旁瓣(相对于前向波束)位置接收到的信号也会混叠入成像信号内,形成方位模糊信号。从图中可以看出,若系统PRF较低,后向波束接收的很强的模糊信号也会混入成像信号,大大恶化成像性能。通过分析可以得到双波束SAR方位模糊度(AASR)的计算公式如下式所示:The intersecting grid area in Figure 4 is the energy of the imaging signal. After sampling by the PRF, the signals received at the positions of other side lobes (relative to the forward beam) of the antenna will also be aliased into the imaging signal, forming an azimuth ambiguous signal. It can be seen from the figure that if the system PRF is low, the strong fuzzy signal received by the backward beam will also be mixed into the imaging signal, which greatly deteriorates the imaging performance. Through analysis, the calculation formula of dual-beam SAR azimuth ambiguity (AASR) can be obtained as follows:
式中,Ba为多普勒带宽,Boff为多普勒中心频率,G为天线方向图,PRF为脉冲重复频率,f为多普勒频率,i为非0整数。In the formula, B a is the Doppler bandwidth, B off is the Doppler center frequency, G is the antenna pattern, PRF is the pulse repetition frequency, f is the Doppler frequency, and i is a non-zero integer.
步骤102:按照最优方位模糊度选取原则,获得系统PRF最优参数;Step 102: According to the principle of selecting the optimal orientation ambiguity, obtain the optimal parameters of the system PRF;
根据频谱的混叠特点,前后向两组频谱在频率轴上各自按PRF为周期延拓,但相邻的前向频谱和后向频谱的重叠情况也是由PRF决定的,如果以前向频谱作为参考,则PRF取值增大时,可以理解为后向频谱沿着前向频谱滑动,同时两组频谱的延拓周期随着增大。当前后向两组频谱完全重合时,混叠完全无法分离,此时前后向中心频率差为PRF的整数倍;当前后向两组频谱重合度最低时,前向频谱中心与相邻两段后向频谱中心距离相等时(即前向频带与后向频带在频率轴上均匀排列),此时前后向中心频率差为PRF的整数倍加上半个PRF。因此,当PRF选为前后向中心频率差2·fc的约1/(n+0.5)时(n为正整数),可以使栅瓣中心距离主瓣中心最远,带来最小的混叠,如下式所示。According to the aliasing characteristics of the spectrum, the two groups of front and rear spectrums are extended on the frequency axis according to the PRF cycle, but the overlapping of the adjacent forward and backward spectra is also determined by the PRF. If the forward spectrum is used as a reference , then when the value of PRF increases, it can be understood that the backward spectrum slides along the forward spectrum, and at the same time, the extension period of the two groups of spectrum increases. When the two groups of forward and backward spectrums overlap completely, the aliasing cannot be separated at all. At this time, the center frequency difference of the forward and backward directions is an integer multiple of PRF; When the distances to the center of the frequency spectrum are equal (that is, the forward frequency band and the backward frequency band are evenly arranged on the frequency axis), the front-to-back center frequency difference is an integer multiple of the PRF plus half of the PRF. Therefore, when the PRF is selected as approximately 1/(n+0.5) of the front-to-back center frequency difference 2 f c (n is a positive integer), the center of the grating lobe can be the farthest from the center of the main lobe, bringing the smallest aliasing , as shown in the following formula.
步骤103:通过仿真试验验证方法的可行性和正确性;Step 103: verifying the feasibility and correctness of the method through a simulation test;
通过一个星载SAR系统进行仿真来验证上述理论。构建合理的星载SAR系统参数,通过步骤1给出的计算方法仿真出最优方位模糊度时的系统PRF,再通过步骤2给出的计算准则计算出系统最优PRF,比较这两个计算结果,若按照步骤1仿真计算得到最优PRF与步骤2计算得到的最优PRF相差一定范围内,则判定步骤2选择的最优的PRF选择方法计算得到最优的PRF是正确的,否则,判定步骤2选择的最优的PRF选择方法不正确。一定范围为10Hz以内。The above theory is verified by a spaceborne SAR system simulation. Construct reasonable spaceborne SAR system parameters, simulate the system PRF at the optimal azimuth ambiguity through the calculation method given in step 1, and then calculate the optimal PRF of the system through the calculation criteria given in step 2, and compare the two calculations As a result, if the optimal PRF calculated by the simulation calculation in step 1 is within a certain range from the optimal PRF calculated in step 2, it is determined that the optimal PRF calculated by the optimal PRF selection method selected in step 2 is correct; otherwise, The optimal PRF selection method selected in step 2 is incorrect. A certain range is within 10Hz.
下面通过一个设计实例,说明本发明的方法能够得到方位向双波束SAR最优PRF。设计一个星载方位向双波束SAR系统进行仿真来验证上述理论。星载方位向双波束SAR系统参数如下表所示:A design example is used below to illustrate that the method of the present invention can obtain the optimal PRF of the azimuth dual-beam SAR. A spaceborne azimuth dual-beam SAR system is designed for simulation to verify the above theory. The parameters of the spaceborne azimuth dual-beam SAR system are shown in the table below:
表1星载SAR系统仿真参数Table 1 Simulation parameters of spaceborne SAR system
通过步骤2最优PRF选择准则得到最优PRF选为前后向中心频率差的约1/(n+0.5),则能够选择的最优PRF为10660Hz。通过步骤1计算方法进行仿真分析,将PRF从4000Hz遍历到12000Hz,得到不同PRF下系统的AASR如附图5所示,附图5中横坐标为系统PRF,纵坐标为方位模糊度AASR。可以看出,系统AASR有周期性的偏离和折叠。随着PRF的变化,第一栅瓣和主瓣进行相对平移,AASR的值高低震荡。AASR的极大值在0dB左右,而且保持稳定,它反映了后向和前向双程天线方向图的一致性,即主瓣和栅瓣完全重合时,有用信号能量近似等于模糊能量,导致AASR为0dB。极小值随着PRF的增大而减小,这是因为后向和前向区域的多普勒频谱可以通过多普勒带通滤波器进行分离,随着PRF的增大,反褶进来的模糊能量相对减小,所以AASR的极小值会随着震荡逐渐降低。系统获得最优AASR位置时PRF在10650Hz附近,与步骤2理论计算相符,仿真证明了理论推导的正确性。According to the optimal PRF selection criterion in step 2, the optimal PRF is selected as about 1/(n+0.5) of the difference between the front and rear center frequencies, and the optimal PRF that can be selected is 10660 Hz. The simulation analysis is carried out through the calculation method of step 1, and the PRF is traversed from 4000Hz to 12000Hz, and the AASR of the system under different PRFs is obtained, as shown in Figure 5. The abscissa in Figure 5 is the system PRF, and the ordinate is the azimuth ambiguity AASR. It can be seen that the system AASR has periodic deviations and folds. With the change of PRF, the first grating lobe and the main lobe are relatively translated, and the value of AASR fluctuates high and low. The maximum value of AASR is around 0dB, and it remains stable. It reflects the consistency of the backward and forward two-way antenna patterns, that is, when the main lobe and the grating lobe completely overlap, the useful signal energy is approximately equal to the fuzzy energy, resulting in AASR is 0dB. The minimum value decreases as the PRF increases, because the Doppler spectrum in the backward and forward regions can be separated by the Doppler bandpass filter, and as the PRF increases, the defolded The blur energy is relatively reduced, so the minimum value of AASR will gradually decrease with the oscillation. When the system obtains the optimal AASR position, the PRF is around 10650Hz, which is consistent with the theoretical calculation in step 2, and the simulation proves the correctness of the theoretical derivation.
本发明的一种基于最优方位模糊的双波束SAR的PRF选择系统,包括:确定模块、PRF选择模块;A PRF selection system based on optimal azimuth ambiguity dual-beam SAR of the present invention, comprising: a determination module, a PRF selection module;
确定模块,根据方位向双波束SAR天线方向图,得到方位模糊在多普勒域出现位置,根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度,送至PRF选择模块;The determination module obtains the position where the azimuth ambiguity appears in the Doppler domain according to the antenna pattern of the azimuth dual-beam SAR, and obtains the azimuth ambiguity of the azimuth dual-beam SAR according to the position where the azimuth ambiguity appears in the Doppler domain, and sends it to the PRF for selection module;
PRF选择模块,根据从确定模块接收的接收方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束。The PRF selection module formulates the optimal PRF selection method according to the azimuth ambiguity from the receiving azimuth received from the determination module to the dual-beam SAR, and then according to the sampling theorem and spectrum folding characteristics, and obtains the optimal PRF, so that one of the two beams The azimuth ambiguity of the beam avoids another beam where it occurs in the Doppler domain.
还包括验证模块,验证模块通过方位向双波束SAR仿真试验,验证PRF选择模块中的PRF选择方法的正确性。It also includes a verification module, which verifies the correctness of the PRF selection method in the PRF selection module through the azimuth dual-beam SAR simulation test.
确定模块中根据方位模糊在多普勒域出现位置,得到方位向双波束SAR的方位模糊度AASR,公式如下:According to the location where the azimuth ambiguity appears in the Doppler domain in the determination module, the azimuth ambiguity AASR of the azimuth dual-beam SAR is obtained, the formula is as follows:
式中,Ba为多普勒带宽,Boff为多普勒中心频率,G为天线方向图,PRF为脉冲重复频率,f为多普勒频率,i为非0整数。In the formula, B a is the Doppler bandwidth, B off is the Doppler center frequency, G is the antenna pattern, PRF is the pulse repetition frequency, f is the Doppler frequency, and i is a non-zero integer.
PRF选择模块根据方位向双波束SAR的方位模糊度,再根据采样定理以及频谱折叠特性,制定最优的PRF选择方法,得到最优的PRF,使双波束中的一个波束的方位模糊在多普勒域出现位置避开另一个波束,具体如下:The PRF selection module formulates the optimal PRF selection method according to the azimuth ambiguity of the dual-beam SAR in the azimuth direction, and then according to the sampling theorem and spectrum folding characteristics, and obtains the optimal PRF, so that the azimuth ambiguity of one of the two beams is Le field appears to avoid another beam, as follows:
PRF选择模块根据方位向双波束SAR的方位模糊度,确定两个波束的中心频率差fc;当最优脉冲重复频率PRF选为前后向中心频率差2·fc的1/(n+0.5)时,n为正整数,得到PRF,可以使另一波束中心距离主波束最远,带来最小的混叠,如下式:The PRF selection module determines the center frequency difference fc of the two beams according to the azimuth ambiguity of the azimuth double-beam SAR; when the optimal pulse repetition frequency PRF is selected as 1/(n+0.5 ), n is a positive integer, and the PRF is obtained, which can make the center of the other beam farthest from the main beam and bring the minimum aliasing, as shown in the following formula:
fc为前后向中心频率差。f c is the center frequency difference between front and back.
验证模块通过方位向双波束SAR仿真试验,验证步骤(2)的PRF选择方法的正确性,具体如下:The verification module verifies the correctness of the PRF selection method in step (2) through the azimuth dual-beam SAR simulation test, as follows:
建立方位向双波束星载SAR,通过仿真计算得到最优PRF,跟步骤(2)计算得到的最优PRF相比较,若仿真计算得到最优PRF与步骤(2)计算得到的最优PRF相差一定范围内,则判定步骤(2)选择的最优的PRF选择方法计算得到最优的PRF是正确的,否则,判定步骤(2)选择的最优的PRF选择方法不正确。Establish the azimuth dual-beam spaceborne SAR, calculate the optimal PRF through simulation, and compare it with the optimal PRF calculated in step (2), if the optimal PRF calculated by simulation is different from the optimal PRF calculated in step (2) Within a certain range, the optimal PRF calculated by the optimal PRF selection method selected in step (2) is correct; otherwise, the optimal PRF selection method selected in step (2) is incorrect.
本发明能够通过理论推导和仿真分析得到适合的方位向双波束合成孔径雷达(SAR)方位模糊度计算方法;通过计算不同脉冲重复频率(PRF)下系统的方位模糊度,按照最优方位模糊度选取原则,获得系统PRF最优参数;通过仿真试验验证了本方法的可行性与正确性。而且本发明推导了方位向双波束SAR的方位模糊计算方法,综合考虑了多普勒带宽,多普勒中心频率,天线方向图,脉冲重复频率,多普勒频率,提出了最优方位模糊度选取准则,使得最优方位模糊度选取更加准确,提高了精度。The present invention can obtain a suitable azimuth dual-beam synthetic aperture radar (SAR) azimuth ambiguity calculation method through theoretical derivation and simulation analysis; by calculating the azimuth ambiguity of the system under different pulse repetition frequencies (PRF), according to the optimal azimuth ambiguity The selection principle is used to obtain the optimal parameters of the system PRF; the feasibility and correctness of this method are verified by simulation experiments. Moreover, the present invention derives the azimuth ambiguity calculation method of dual-beam SAR in azimuth, comprehensively considers Doppler bandwidth, Doppler center frequency, antenna pattern, pulse repetition frequency, and Doppler frequency, and proposes the optimal azimuth ambiguity The selection criterion makes the selection of the optimal orientation ambiguity more accurate and improves the precision.
上述仅为本发明的较佳实施例及所运用技术原理。本领域技术人员会理解,本发明不限于这里所述的优选实施例,对本领域技术人员来说能够进行各种明显的变化、重新调整和替代而不会脱离本发明的保护范围。因此,虽然通过以上实施例对本发明进行了较为详细的说明,但是本发明不仅仅限于以上实施例,在不脱离本发明构思的情况下,还可以包括更多其他等效实施例,而本发明的范围由所附的权利要求范围决定。The above are only preferred embodiments of the present invention and applied technical principles. Those skilled in the art will appreciate that the present invention is not limited to the preferred embodiments described herein, and various obvious changes, readjustments and substitutions can be made by those skilled in the art without departing from the protection scope of the present invention. Therefore, although the present invention has been described in detail through the above embodiments, the present invention is not limited to the above embodiments, and can also include more other equivalent embodiments without departing from the concept of the present invention, and the present invention The scope is determined by the scope of the appended claims.
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