Abstract
Assuming unknown knowledge of target impulse response (TIR), this paper develops robust design methods to optimize the transceiver for the detection of extended targets in the presence of signal-dependent interference. Two different transceiver design schemes comprising single filter and multiple filters methods are presented to handle the fact that the TIR of extended target is unknown at the transmit side. The lowest signal to interference plus noise ratio (SINR) is considered at the receiver side as the performance measure of the system. Two robust design problems are formulated as max-min optimization problems to robustify the system SINR with respect to the unknown TIR. The former is solved using an iterative optimization process alternating between two sequential semi-definite programming (SDP) problems; the latter is solved employing an iterative optimization procedure alternating between a convex and a generalized fractional programming problems. Finally, several numerical examples highlight that the proposed design schemes have better robustness compared to several counterparts which are presented in open literature.
Highlights
The improved ability of active sensing systems, promoted by the development of high-speed processors and arbitrary digital waveform generators, has enabled the use of very complex and effective signal processing techniques
To optimize the transmit signal that is robust to the model mismatch of the target impulse response (TIR) and disturbance covariance matrix, the authors cast a robust waveform optimization problem based on maximizing the worst-case signal to interference plus noise ratio (SINR) over the
Two different transceiver design schemes comprising single filter and multiple filters methods are presented to handle the fact that the TIR of extended target is unknown at the transmit side
Summary
The improved ability of active sensing systems, promoted by the development of high-speed processors and arbitrary digital waveform generators, has enabled the use of very complex and effective signal processing techniques. In [5], to improve the detection capability of range-extended targets for wideband radar, the authors consider the transmit signal design to optimize the signal to interference plus noise ratio (SINR). To optimize the transmit signal that is robust to the model mismatch of the TIR and disturbance covariance matrix, the authors cast a robust waveform optimization problem based on maximizing the worst-case SINR over the. We use a filter array with each branch tuned to a particular TIR instead of one single filter and reconsider the worst-case SINR at the output of the filter array as the performance measure so as to ensure target delectability regardless of range-extended target feature Both of an energy constraint and a similarity constraint are enforced to control several relevant characteristics of the transmission waveform. For any optimization problem P, υ (P) denotes its optimal value
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