The finite Heisenberg-Weyl groups in radar and communications

Authors:
S. D. Howard;A. R. Calderbank;W. Moran
Affiliations:
Defence Science and Technology Organisation, Edinburgh, Australia;Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ;Department of Electrical and Electronic Engineering, The University of Melbourne, Victoria, Australia
Venue:
EURASIP Journal on Applied Signal Processing
Year:
2006

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Abstract

We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms. We also demonstrate, following recent developments in the theory of error-correcting codes, that the finite Heisenberg-Weyl groups provide a unified basis for the construction of useful waveforms/sequences for radar, communications, and the theory of error-correcting codes.