DANIEL R. FUHRMANN, Senior Member, IEEE
GEOFFREY SAN ANTONIO, Student Member, IEEE
Washington University
Proposed next-generation radar systems will have multiple transmit apertures with complete flexibility in the choice of the signals transmitted at each aperture. Here we propose the use of multiple signals with arbitrary cross-correlation matrix R, and show that R can be chosen to achieve or approximate a desired spatial transmit beampattern. Two specific problems are addressed. The first is the constrained optimization problem of finding the value of R which causes the true transmit beampattern to be close in some sense to a desired beampattern. This is approached using convex optimization techniques. The second is the problem of designing multiple constant-modulus waveforms with given cross-correlation R. The use of coded binary phase shift keyed (BPSK) waveforms is considered. A method for finding the code sequences based on random signaling with a structured correlation matrix is proposed. It is also shown that by restricting the class of admissible waveforms one reduces the set of possible signal correlation matrices.
Manuscript received September 30, 2005; revised July 25, 2006;
released for publication May 1, 2007.
IEEE Log No. T-AES/44/1/920396
Refereeing of this contribution was handled by E. S. Chornoboy.
This work is sponsored in part under Air Force Contract
FA8721-05-C-0002.
Opinions, interpretations, recommendations, and conclusions are
those of the authors and are not necessarily endorsed by the United
States Government.
Authors' address: Electronic Systems and Signals Research
Laboratory, Dept. of Electrical and Systems Engineering,
Washington University in St. Louis, Campus Box 1127, St. Louis,
MO 63130, E-mail: (danf@ese.wustl.edu; gsa1@wustl.edu).
0018-9251/08/$25.00 © 2008 IEEE