Time-Frequency Hop Coding In Multi-User Environments

Jerome R. Bellegarda; Edward L. Titlebaum

doi:10.1117/12.943917

3 May 1988 Time-Frequency Hop Coding In Multi-User Environments

Jerome R. Bellegarda, Edward L. Titlebaum

Proceedings Volume 0876, Communications Networking in Dense Electromagnetic Environments; (1988) https://doi.org/10.1117/12.943917
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

Abstract

Time-frequency hop pulse train signals used in applications such as coherent multi-user radar or asynchronous spread spectrum communications must be selected on the basis of both auto- and cross-ambiguity characteristics. Neither codes based upon Costas arrays, which have nearly ideal auto- but not so good cross-ambiguity properties, nor codes based on linear congruences, which have nearly ideal cross- but unattractive auto-ambiguity properties, are entirely satisfactory. As a compromise, a new class of time-frequency hop codes is developed, based upon 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 position and amplitude of spurious peaks in the auto-ambiguity function. These bounds depend on time-bandwidth product and code length exclusively, which leads to a discussion of the trade-offs involved between these two parameters.

Citation Download Citation

Jerome R. Bellegarda and Edward L. Titlebaum "Time-Frequency Hop Coding In Multi-User Environments", Proc. SPIE 0876, Communications Networking in Dense Electromagnetic Environments, (3 May 1988); https://doi.org/10.1117/12.943917

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