Abstract
In this paper, we consider the joint optimization of transmit waveform and receive filter in colocated multiple-input multiple-output (MIMO) radar to enhance target detection performance in the presence of signal-dependent interference. It is noticed that in the detection stage, the output energy is mainly concentrated in the mainlobe region. Therefore, we decompose the receive filter as the cascade of a receive beamformer and a temporal filter. Then, under the peak-to-average ratio (PAR) constraint, a problem is formulated to realize a trade-off between the signal-to-interference-plus-noise ratio (SINR) and the integrated sidelobe level (ISL) at the pulse compression output of mainlobe synthesized signal. A non-decreasing algorithm, which is the combination of sequential optimization algorithm and minorization-maximization (MM) method, is developed to solve this problem. Besides, in order to reduce computation burden, a special case is proposed, where we fix the temporal filter as the mainlobe synthesized signal. Then, another non-decreasing algorithm based on the MM method is proposed to solve the special case. Numerical experiments show that the proposed algorithms can obtain high output SINR and low output ISL efficiently.
Highlights
Each transmitter of multiple-input multiple-output (MIMO) radar can transmit different waveforms
In [9], Imani et al proposed a method for the joint design of transmit waveform and receiver filter in order to maximize the signal-to-interference-plus-noise ratio (SINR) without consideration of practical constraints
Notice that radar is working at detection mode, so we only focus on the mainlobe output and propose a new signal processing architecture
Summary
Each transmitter of multiple-input multiple-output (MIMO) radar can transmit different waveforms. In [9], Imani et al proposed a method for the joint design of transmit waveform and receiver filter in order to maximize the SINR without consideration of practical constraints. In [14], based on the MM framework, the author considered the joint design of transmit waveform and receive filter under different practical constraints. In [17], the SINR maximization problem was considered for the airborne MIMO radar system None of these works [9]–[17] considered the pulse compression performance after the designed filter. To the best of our knowledge, it can be noticed that rare works consider the pulse compression performance i.e. the output ISL of the designed filter in SINR maximization design for MIMO radar. In denotes the n × n identity matrix. |·| denotes the modulus of a complex scalar. · 2 denotes the l2-norm of a vector. ⊗ denotes the Kronecker product
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