Spectrally-Agile Waveform Design for Wideband MIMO Radar Transmit Beampattern Synthesis via Majorization-ADMM

TY – JOUR

T1 – Spectrally-Agile Waveform Design for Wideband MIMO Radar Transmit Beampattern Synthesis via Majorization-ADMM

AU – Fan, Wen

AU – Liang, Junli

AU – Lu, Guangshan

AU – Fan, Xuhui

AU – So, Hing Cheung

N1 – Publisher Copyright:
© 1991-2012 IEEE.

PY – 2021

Y1 – 2021

N2 – This paper investigates the problem of wideband multiple-input multiple-output radar transmit beampattern synthesis in a spectrally dense environment, and two optimization problems are formulated according to practical consideration. The first one is beampattern matching design under the scenario of known interference spectral band while the second addresses minimum peak sidelobe beampattern design given both interference spectral band and interference direction. In addition, to improve transmission efficiency, other than the peak-to-average power ratio constraint, a useful modulus constraint, namely, dynamic range ratio, is adopted in our development. The resultant problems are nonconvex and nonsmooth, together with multiple constraints. The advantages of the majorization-minimization and alternating direction method of multipliers (ADMM) are combined to handle them. We first use the majorization technique to handle the nonconvex and nonsmooth issues and then utilize the ADMM to solve the multi-constrained problem. Two variants of the ADMM, called majorization-ADMM and proximal-ADMM, are devised, and their convergence is also studied. Finally, numerical examples are provided to verify the effectiveness of the proposed algorithms.

AB – This paper investigates the problem of wideband multiple-input multiple-output radar transmit beampattern synthesis in a spectrally dense environment, and two optimization problems are formulated according to practical consideration. The first one is beampattern matching design under the scenario of known interference spectral band while the second addresses minimum peak sidelobe beampattern design given both interference spectral band and interference direction. In addition, to improve transmission efficiency, other than the peak-to-average power ratio constraint, a useful modulus constraint, namely, dynamic range ratio, is adopted in our development. The resultant problems are nonconvex and nonsmooth, together with multiple constraints. The advantages of the majorization-minimization and alternating direction method of multipliers (ADMM) are combined to handle them. We first use the majorization technique to handle the nonconvex and nonsmooth issues and then utilize the ADMM to solve the multi-constrained problem. Two variants of the ADMM, called majorization-ADMM and proximal-ADMM, are devised, and their convergence is also studied. Finally, numerical examples are provided to verify the effectiveness of the proposed algorithms.

KW – spectrally dense environment

KW – transmit beampattern

KW – waveform design

KW – Wideband MIMO radar

UR – www.scopus.com/pages/publications/85099631979

U2 – 10.1109/TSP.2021.3052997

DO – 10.1109/TSP.2021.3052997

M3 – 文章

AN – SCOPUS:85099631979

SN – 1053-587X

VL – 69

SP – 1563

EP – 1578

JO – IEEE Transactions on Signal Processing

JF – IEEE Transactions on Signal Processing

M1 – 9328605

ER –