Information theoretic adaptive radar waveform design for multiple extended targets

Amir Leshem*, Oshri Naparstek, Arye Nehorai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

214 Scopus citations

Abstract

In this paper, we use an information theoretic approach to design radar waveforms suitable for simultaneously estimating and tracking parameters of multiple extended targets. Our approach generalizes the information theoretic water-filling approach of Bell to allow optimization for multiple targets simultaneously. Our paper has three main contributions. First, we present a new information theoretic design criterion for a single transmit waveform using a weighted linear sum of the mutual informations between target radar signatures and the corresponding received beams (given the transmitted waveforms). We provide a family of design criteria that weight the various targets according to priorities. Then, we generalize the information theoretic design criterion for designing multiple waveforms under a joint power constraint when beamforming is used both at the transmitter and the receiver. Finally, we provide a highly efficient algorithm for optimizing the transmitted waveforms in the cases of single waveform and multiple waveforms. We also provide simulated experiments of both algorithms based on real targets and comment on the generalization of the proposed technique for other design criteria, e.g., the linearly weighted noncausal MMSE design criterion.

Original languageAmerican English
Pages (from-to)42-55
Number of pages14
JournalIEEE Journal on Selected Topics in Signal Processing
Volume1
Issue number1
DOIs
StatePublished - Jun 2007
Externally publishedYes

Bibliographical note

Funding Information:
Manuscript received September 1, 2006; revised February 22, 2007. This work was supported by the Department of Defense through the Air Force Office of Scientific Research MURI under Grant FA9550-05-1-0443 and AFOSAR under Grant FS9550-05-1-0018. This work was presented in part at CISS 2006 and at ICASSP 2007. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Maria Sabrina Greco.

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