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International Journal of Antennas and Propagation
Volume 2015 (2015), Article ID 563941, 12 pages
http://dx.doi.org/10.1155/2015/563941
Research Article

Codesign of Beam Pattern and Sparse Frequency Waveforms for MIMO Radar

1School of Electronic and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2Department of Electrical and Computer Engineering, Iowa State University, Ames, IA 50011, USA
3Temasek Laboratories, Nanyang Technological University, Singapore 117411

Received 17 January 2015; Accepted 8 March 2015

Academic Editor: Giuseppe Castaldi

Copyright © 2015 Chaoyun Mai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Multiple-input multiple-output (MIMO) radar takes the advantages of high degrees of freedom for beam pattern design and waveform optimization, because each antenna in centralized MIMO radar system can transmit different signal waveforms. When continuous band is divided into several pieces, sparse frequency radar waveforms play an important role due to the special pattern of the sparse spectrum. In this paper, we start from the covariance matrix of the transmitted waveform and extend the concept of sparse frequency design to the study of MIMO radar beam pattern. With this idea in mind, we first solve the problem of semidefinite constraint by optimization tools and get the desired covariance matrix of the ideal beam pattern. Then, we use the acquired covariance matrix and generalize the objective function by adding the constraint of both constant modulus of the signals and corresponding spectrum. Finally, we solve the objective function by the cyclic algorithm and obtain the sparse frequency MIMO radar waveforms with desired beam pattern. The simulation results verify the effectiveness of this method.