Radar waveform design and the Heisenberg group
type: Item
instance of: scholarly article
title: Radar waveform design and the Heisenberg group
zbMATH Open document ID: 0846.94003
author: F. Geshwind
author: Fred Warner
author: Louis Auslander
published in: Applied and Computational Harmonic Analysis
publication date: 1996-09-23T00:00:00Z
review text: The paper under review is in the spirit of a recent paper on the deformation theory of radar ambiguity functions published by the same authors [Weyl multipliers. J. Fourier Anal. Appl. 2, 191-215 (1995)]. It begins with a presentation of the Heisenberg group theoretic setting [\textit{W. Schempp}, Radar reception and nilpotent harmonic analysis. I--IV. C. R. Math. Acad. Sci., Soc. R. Can. 4, 43-48, 139-144, 219-224, 287-292 (1982; Zbl 0485.94007, Zbl 0485.94008, Zbl 0518.94002, Zbl 0509.94002)] which is of particular value for quantum holographic processes such as synthetic aperture radar (SAR) imagery, sonoluminescence, and magnetic resonance imaging [\textit{W. Schempp}, Result. Math. 28, No. 3-4, 303-344 (1995)]. The Heisenberg group approach to the radar ambiguity function leads into a study of the Weyl transform. Specifically a discrete data structure called winding number data of the Weyl transform are introduced and some of its properties, and the computation of the data are discussed.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 43A80
zbMATH DE Number: 846192
zbMATH Keywords: deformation
zbMATH Keywords: radar ambiguity functions
zbMATH Keywords: Heisenberg group
zbMATH Keywords: Weyl transform
zbMATH Keywords: winding number data
reviewed by: Walter Schempp
MaRDI profile type: Publication
full work available at URL: acha.1995.1025
OpenAlex ID: W2080004374
DOI: 10.1006/ACHA.1995.1025
description: scientific article; zbMATH DE number 846192