Sequential quasi‐convex‐based algorithm for waveform design in colocated multiple‐input multiple‐output radars

Abstract

This study considers the problem of waveform design for colocated multiple-input multiple-output (MIMO) radars for multiple targets in the presence of multiple interferences in white Gaussian noise. Here, the authors jointly design the transmit waveform and receive beamforming by a sequential algorithm. The proposed sequential algorithm maximises the minimum signal-to-interference-plus-noise ratio (SINR) to design both continuous and finite alphabet phase waveforms. In the case of continuous phase, all phases can be chosen in the waveform space, while in finite alphabet case, phases are only chosen from a confine set. Two important practical constraints of 'constant envelope' and 'similarity' are considered as well. The authors also have converted the waveform design problem into a quasiconvex optimisation problem which can be effectively solved by using convex optimisation toolbox (CVX). They have evaluated the performance of the matched filter output, beampattern and peak-to-average power ratio via numerical simulations and shown that the proposed sequential method achieves better SINR performance compared with existing MIMO radar transmit waveform design methods, for both single and multiple target scenarios.

Robust waveform design for MIMO–OFDM‐based STAP in the presence of target uncertainty

“…Following that, the ultimate transmitted signals can be calculated from by using randomisation technique developed in [29].…”

Hybrid MIMO Phased Array Radar With Center-Spanned Subarrays

“…Reference [12] presented a two-stage based design to provide correlated waveforms for improving coherent processing gain. The problem in the design of partially correlated waveforms lies in the fact that the solution process are even more computationally expensive than designing orthogonal waveforms [13]- [15]. As is pointed out by [16], multiple constraints posed by practical application often make it impractical to design appropriate waveforms.…”

Interference cancellation in co‐located MIMO radars using waveform optimisation in signal dependent clutter

“…In such radars by using waveform design, we can manage transmit and receive power patterns. Therefore, one of the interesting subjects of the MIMO radar terminology is waveform design concept [7–21].…”

“…At the other side, as in these radars transmit waveform and receiver filter design are independent from each other, we cannot expect optimum SINR performance. Therefore, researchers also try to jointly design transmit waveform and receiver filter to increase radar SINR performance [11, 19]. In [11] this problem has been solved by considering constant envelop and similarity constraint on the transmitted waveform.…”

“…In [11] this problem has been solved by considering constant envelop and similarity constraint on the transmitted waveform. The same problem with more accuracy and considering multiple targets has been solved in [19], however, considering that their solution is derived by using a quasi‐convex optimisation, it has a very high complexity and thus it cannot be used, practically. Continuous development of signal processing hardware and using RF circuits with high dynamic range, we can use the waveforms with variable envelop but with higher design speed.…”