Constant Modulus Waveform Design for MIMO Radar Transmit Beampattern

A multiple-input multiple-output radar has great flexibility to design the transmit beampattern via selecting the probing waveform. The idea of current transmit beampattern design is to approximate the disired transimit beampattern and minimize the cross-correlation sidelobes. In this paper, under t...

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Vydáno v:IEEE transactions on signal processing Ročník 65; číslo 18; s. 4912 - 4923
Hlavní autoři: Cheng, Ziyang, He, Zishu, Zhang, Shengmiao, Li, Jian
Médium: Journal Article
Jazyk:angličtina
Vydáno: IEEE 15.09.2017
Témata:
ADMM
Algorithm design and analysis
Approximation algorithms
Constant modulus waveform
Convex functions
Covariance matrices
DADMM
MIMO radar
Radar antennas
Signal processing algorithms
transmit beampattern design
ISSN:1053-587X, 1941-0476
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Shrnutí:A multiple-input multiple-output radar has great flexibility to design the transmit beampattern via selecting the probing waveform. The idea of current transmit beampattern design is to approximate the disired transimit beampattern and minimize the cross-correlation sidelobes. In this paper, under the constant modulus constraint, two algorithms are proposed to design the probing waveform directly. In the first algorithm, the optimization criterion is minimizing the squared-error between the designed beampattern and the given beampattern. Since the objective function is a nonconvex fourth-order polynomial and the constant modulus constraint can be regarded as many nonconvex quadratic equality constraints, an efficient alternating direction method of multipliers (ADMM) algorithm, whose convergence speed is very fast, is proposed to solve it. In the second algorithm, the criterion is minimizing the absolute-error between the designed beampattern and the given beampattern. This nonconvex problem can be formulated as l1-norm problem, which can be solved through a double-ADMM algorithm. Finally, we assess the performance of the two proposed algorithms via numerical results.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2017.2718976