This IMA Volume in Mathematics and its Applications RADAR AND SONAR, PART II is based on the proceedings of the second week of the IMA summer program "Radar and Sonar". Week two was devoted to the presentation of problems and solutions of problems in Radar and Sonar. vVe are grat.eful to Alberto Griinbaum, Marvin Bernfeld and Richard Blahut for organizing the program. We also take this opportunity to thank those agencies whose financial support made the summer program possible: the Air Force Office of Scientific Research, the Army Research Office, the National Science Foundation, the National Security Agency and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE This volume contains a representative discussion of mathematical problems that arise in radar and sonar and is based on the lectures that were given during the second week of the IMA summer program RADAR AND SONAR, June IS-June 29, 1990. (The first week was devoted to three sets of tutorial lectures and the lecture notes from that part of the program appear in an earlier IMA volume.) The second week was run as a workshop of contributed papers without formal review. The speakers were selected to cover a broad range of problems in this area.

Klappentext

This volume contains a representative discussion of mathematical problems that arise in radar and sonar. The design of waveforms for radar and sonar and the development of algorithms for the processing of these waveforms lead to many interesting and difficult problems of applied mathematics. It is timely to separate these prob- lems from the engineering tasks of radar and sonar to form a minitopic of applied mathematics. The range of such problems - applications of group theory, modern topics of signal processing, inverse problems, array processing and beamforming, estimation-theoretic imaging, and phase tracking - cannot be found in any other single volume.

Inhalt
Beamforming with dominant mode rejection.- Fine structure of the classical Gabor approximation.- The finite Zak transform and the finite Fourier transform.- On the alternatives for imaging rotational targets.- Phase monopulse tracking and its relationship to noncooperative target recognition.- Imaging of media that diffuse and scatter radiation.- A note on group contractions and radar ambiguity functions.- Wideband approximation and wavelet transform.- Problems in stationarity for large acoustic arrays.- A sieve-constrained maximum-likelihood method for target imaging.- Some problems in obtaining and using incremental diffraction coefficients.- A problem: Higher-order spectral phase estimation.- Displacement rank and deconvolution: Applications and open problems.