On the design of constant modulus probing signals for MIMO radar

Yong Chao Wang; Xu Wang; Hongwei Liu; Zhi Quan Luo

doi:10.1109/TSP.2012.2197615

On the design of constant modulus probing signals for MIMO radar

Yong Chao Wang, Xu Wang, Hongwei Liu, Zhi Quan Luo

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

155 Scopus citations

Abstract

Probing signal waveforms play a central role in the signal processing performance of a multiple-input multiple-output (MIMO) radar. In practice, for a given desired beam pattern, we need to design a probing signal waveform whose beam pattern closely matches the desired one and whose autocorrelation and cross-correlation sidelobes are kept low. The latter properties are important to mitigate undesirable interference caused by multiple targets or scatterers. In this correspondence, we present an efficient optimization method to design a constant modulus probing signal which can synthesize a desired beam pattern while maximally suppressing both the autocorrelation and cross-correlation sidelobes at/between given spacial angles. We formulate this problem as an unconstrained minimization of a fourth order trigonometric polynomial and propose an efficient quasi-Newton iterative algorithm to solve it. Besides, we provide an analysis of the local minima of the fourth-order trigonometric polynomial and prove that any local minima is a 1/2-approximation of its global optimal solution. Numerical examples show that the proposed approach compares favorably with the existing approach.

Original language	English (US)
Article number	6194367
Pages (from-to)	4432-4438
Number of pages	7
Journal	IEEE Transactions on Signal Processing
Volume	60
Issue number	8
DOIs	https://doi.org/10.1109/TSP.2012.2197615
State	Published - 2012

Bibliographical note

Funding Information:
Manuscript received June 06, 2011; revised November 17, 2011 and February 03, 2012; accepted April 10, 2012. Date of publication May 03, 2012; date of current version July 10, 2012. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Visa Koivunen. Y.-C. Wang started this work while he was a postdoctoral fellow at the University of Minnesota. This research is supported in part by the National Key Science Technology Project, Grant. 2011ZX03004-001-01, Research Fund of ISN Lab., Grant ISN1102004, the Fundamental Research Funds for the Central Universities, Grant K50510010009, and by the 111 Project, Grant B08038. The research of Z.-Q. Luo is supported in part by the National Science Foundation, Grant DMS-1015346.

Keywords

Beam pattern
constant modulus probing signal
multiple-input multiple-output (MIMO) radar
spatial auto/cross-correlation

Access

10.1109/TSP.2012.2197615

OpenUrl availability

Full text

Cite this

@article{7204fd4fdc8f4e31ae2d5ba2108b654b,

title = "On the design of constant modulus probing signals for MIMO radar",

abstract = "Probing signal waveforms play a central role in the signal processing performance of a multiple-input multiple-output (MIMO) radar. In practice, for a given desired beam pattern, we need to design a probing signal waveform whose beam pattern closely matches the desired one and whose autocorrelation and cross-correlation sidelobes are kept low. The latter properties are important to mitigate undesirable interference caused by multiple targets or scatterers. In this correspondence, we present an efficient optimization method to design a constant modulus probing signal which can synthesize a desired beam pattern while maximally suppressing both the autocorrelation and cross-correlation sidelobes at/between given spacial angles. We formulate this problem as an unconstrained minimization of a fourth order trigonometric polynomial and propose an efficient quasi-Newton iterative algorithm to solve it. Besides, we provide an analysis of the local minima of the fourth-order trigonometric polynomial and prove that any local minima is a 1/2-approximation of its global optimal solution. Numerical examples show that the proposed approach compares favorably with the existing approach.",

keywords = "Beam pattern, constant modulus probing signal, multiple-input multiple-output (MIMO) radar, spatial auto/cross-correlation",

author = "Wang, {Yong Chao} and Xu Wang and Hongwei Liu and Luo, {Zhi Quan}",

note = "Funding Information: Manuscript received June 06, 2011; revised November 17, 2011 and February 03, 2012; accepted April 10, 2012. Date of publication May 03, 2012; date of current version July 10, 2012. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Visa Koivunen. Y.-C. Wang started this work while he was a postdoctoral fellow at the University of Minnesota. This research is supported in part by the National Key Science Technology Project, Grant. 2011ZX03004-001-01, Research Fund of ISN Lab., Grant ISN1102004, the Fundamental Research Funds for the Central Universities, Grant K50510010009, and by the 111 Project, Grant B08038. The research of Z.-Q. Luo is supported in part by the National Science Foundation, Grant DMS-1015346.",

year = "2012",

doi = "10.1109/TSP.2012.2197615",

language = "English (US)",

volume = "60",

pages = "4432--4438",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8",

}

TY - JOUR

T1 - On the design of constant modulus probing signals for MIMO radar

AU - Wang, Yong Chao

AU - Wang, Xu

AU - Liu, Hongwei

AU - Luo, Zhi Quan

N1 - Funding Information: Manuscript received June 06, 2011; revised November 17, 2011 and February 03, 2012; accepted April 10, 2012. Date of publication May 03, 2012; date of current version July 10, 2012. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Visa Koivunen. Y.-C. Wang started this work while he was a postdoctoral fellow at the University of Minnesota. This research is supported in part by the National Key Science Technology Project, Grant. 2011ZX03004-001-01, Research Fund of ISN Lab., Grant ISN1102004, the Fundamental Research Funds for the Central Universities, Grant K50510010009, and by the 111 Project, Grant B08038. The research of Z.-Q. Luo is supported in part by the National Science Foundation, Grant DMS-1015346.

PY - 2012

Y1 - 2012

N2 - Probing signal waveforms play a central role in the signal processing performance of a multiple-input multiple-output (MIMO) radar. In practice, for a given desired beam pattern, we need to design a probing signal waveform whose beam pattern closely matches the desired one and whose autocorrelation and cross-correlation sidelobes are kept low. The latter properties are important to mitigate undesirable interference caused by multiple targets or scatterers. In this correspondence, we present an efficient optimization method to design a constant modulus probing signal which can synthesize a desired beam pattern while maximally suppressing both the autocorrelation and cross-correlation sidelobes at/between given spacial angles. We formulate this problem as an unconstrained minimization of a fourth order trigonometric polynomial and propose an efficient quasi-Newton iterative algorithm to solve it. Besides, we provide an analysis of the local minima of the fourth-order trigonometric polynomial and prove that any local minima is a 1/2-approximation of its global optimal solution. Numerical examples show that the proposed approach compares favorably with the existing approach.

AB - Probing signal waveforms play a central role in the signal processing performance of a multiple-input multiple-output (MIMO) radar. In practice, for a given desired beam pattern, we need to design a probing signal waveform whose beam pattern closely matches the desired one and whose autocorrelation and cross-correlation sidelobes are kept low. The latter properties are important to mitigate undesirable interference caused by multiple targets or scatterers. In this correspondence, we present an efficient optimization method to design a constant modulus probing signal which can synthesize a desired beam pattern while maximally suppressing both the autocorrelation and cross-correlation sidelobes at/between given spacial angles. We formulate this problem as an unconstrained minimization of a fourth order trigonometric polynomial and propose an efficient quasi-Newton iterative algorithm to solve it. Besides, we provide an analysis of the local minima of the fourth-order trigonometric polynomial and prove that any local minima is a 1/2-approximation of its global optimal solution. Numerical examples show that the proposed approach compares favorably with the existing approach.

KW - Beam pattern

KW - constant modulus probing signal

KW - multiple-input multiple-output (MIMO) radar

KW - spatial auto/cross-correlation

UR - http://www.scopus.com/inward/record.url?scp=84863896803&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863896803&partnerID=8YFLogxK

U2 - 10.1109/TSP.2012.2197615

DO - 10.1109/TSP.2012.2197615

M3 - Article

AN - SCOPUS:84863896803

SN - 1053-587X

VL - 60

SP - 4432

EP - 4438

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 8

M1 - 6194367

ER -

On the design of constant modulus probing signals for MIMO radar

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this