TY - JOUR
T1 - Information theoretic adaptive radar waveform design for multiple extended targets
AU - Leshem, Amir
AU - Naparstek, Oshri
AU - Nehorai, Arye
N1 - 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.
PY - 2007/6
Y1 - 2007/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34249297642&partnerID=8YFLogxK
U2 - 10.1109/JSTSP.2007.897047
DO - 10.1109/JSTSP.2007.897047
M3 - Article
AN - SCOPUS:34249297642
SN - 1932-4553
VL - 1
SP - 42
EP - 55
JO - IEEE Journal on Selected Topics in Signal Processing
JF - IEEE Journal on Selected Topics in Signal Processing
IS - 1
ER -