Frequency hop multiple access codes based upon the theory of cubiccongruences |
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Authors: | Maric SV Titlebaum EL |
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Institution: | Dept. of Electr. Eng., Rochester Univ., NY; |
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Abstract: | The need for families of frequency-hop codes which have mutually small auto-ambiguity and cross-ambiguity functions is discussed. Current coding methods are reviewed. A new family of frequency-hop codes based upon the number-theoretic concept of cubic congruences is introduced. It is shown that for about 50% of the prime numbers, families of full codes exist which have at most two coincidences for any time-frequency shift in their auto-ambiguity functions and at most three coincidences in the set of mutual cross-ambiguity functions |
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