Mismatched filter group co-design method based on double least p-norm algorithm

Abstract

The invention discloses a mismatched filter group co-design method based on a double least p-norm algorithm. The method mainly comprises steps: a distributed MIMO radar is determined, wherein a targetexists in the distributed MIMO radar detection range, the transmitting end of the distributed MIMO radar comprises Nt transmitting array elements, the receiving end comprises Nr receiving array elements, and the receiving end of the distributed MIMO radar is correspondingly provided with a mismatched filter group; autocorrelation sidelobe column vectors outputted after the Nt transmitting array elements of the distributed MIMO radar are scattered by the target and are then filtered by the mismatched filters of the Nt receiving array elements and cross-correlation sidelobe column vectors outputted after the Nt transmitting array elements of the distributed MIMO radar are scattered by the target and are then filtered by the mismatched filters of the Nt receiving array elements are determined respectively, a minimum function is constructed and solved, and further, the mismatched filter group co-design result based on the double least p-norm algorithm is obtained.

Description

technical field [0001] The invention belongs to the field of radar technology, and in particular relates to a joint design method of a mismatch filter bank based on a double-minimum p-norm algorithm, which is suitable for reducing the distance side lobe level output by a mismatch filter. Background technique [0002] The phase-encoded signal is a common constant modulus signal, which has the advantages of relatively good anti-intercept and high measurement accuracy, and has been widely studied in the research of multiple input multiple output (MIMO) radar; in addition to time dimension and In addition to the frequency dimension, the phase-encoded signal can also provide the symbol dimension and the waveform dimension to realize the mutual orthogonality between the signals; and the absolute orthogonal signal is usually difficult to realize. In practical applications, it is generally possible to "approximate" the quadrature signal by optimizing the signal so that it has the ch...

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Problems solved by technology

[0002] The phase-encoded signal is a common constant modulus signal, which has the advantages of relatively good anti-intercept and high measurement accuracy, and has been widely studied in the research of multiple input multiple output (MIMO) radar; in addition to time dimension and In addition to the frequency dimension, the phase-encoded signal can also provide the symbol dimension and the waveform dimension to realize the mutual orthogonality between the signals; and the absolute orthogonal signal is usually difficult to achieve

In practical applications, it is generally possible to "approximate" the quadrature signal by optimizing the signal so that it has the characteristics of lower autocorrelation sidelobe level and cross-correlation level (hereinafter referred to as sidelobe level); for example, Deng Hai2004 in " In the article "Ployphase code design for orthogonal netted radar systems" published in Volume 52, Issue 2 of IEEE Transactions on Signal Processing, a design with the goal of minimizing the autocorrelation integral sidelobe level and the integral cross-correlation level is disclosed. Orthogonal signal method, but the autocorrelation peak sidelobe level (Auto-correlation Peak Sidelobe Level, APSL) and peak cross-correlation level (Peak Cross Correlation Level, PCCL) output by this method are relatively high, which is not conducive to multi-target The detection of weak and small targets in the environment; and Hu Liangbing, Liu Hongwei and Wu Shunjun published in the "System Engineering and Electronic Technology" Journal Volume 33 Issue 1 in 2011 "MIMO Radar Orthogonal Waveform Design Based on Constrained Nonlinear Programming", open A method to design quadrature signals directly aiming at minimizing the autocorrelation peak sidelobe level APSL and peak cross-correlation level PCCL solves the above problems

[0003] In order to further reduce the autocorrelation peak sidelobe level APSL and peak cross-correlation level PCCL, a mismatch filter bank can be designed at the expense of a certain signal-to-noise ratio loss (SNR loss); For example, GRIEP K R, RITCEY J A and BURLINGAME J J 1995 in "IEEE Transactions on Aerospace and Electronic Systems" Volume 31 No. 2, disclosed a method to minimize the autocorrelation peak sidelobe level APSL and peak cross-correlation level PCCL For the goal, the iterative weighted least squares method and the convex optimization method are used to design the mismatched filter bank; however, the mismatched filter bank designed by this method is carried out under the condition of a given signal, and part of the optimization freedom is lost Spend

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