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Time-frequency properties of extended quadratic congruential frequency hop signals

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1 Author(s)
Bellegarda, J.R. ; IBM Thomas J. Watson Res. Center, Yorktown Heights, NY

Frequency-hop pulse train signals, used in applications such as coherent multiuser or multibeam echo location, must be selected on the basis of good time-frequency characteristics in both auto- and cross-ambiguity domains. Toward this end, a class of frequency-hop signals is developed on the basis of an extension of the theory of quadratic congruences. An uniform upper bound is placed on the entire cross-ambiguity function surface, and bounds are placed on the amplitude of spurious peaks in the auto-ambiguity function. These bounds depend on time-bandwidth product and code length exclusively. Examples of typical auto- and cross-ambiguity functions are shown to illustrate the time-frequency properties of the signals

Published in:

Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on

Date of Conference:

23-26 May 1989