1991•Electronics LettersRequires access

Complementary sets of chirp-like polyphase sequences

Branislav M. Popović

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Abstract

A new construction for the complementary sets of polyphase sequences is presented. The new construction is based on the application of Zadoff—Chu, as well as Ipatov polyphase sequences with ideal periodic autocorrelation function. It is shown that cyclic time shifted versions of either polyphase sequences form the complementary set, if the length of sequences is N = 5. m2 and the corresponding time shifts are different multiples of m, where s and m are any positive integers.

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What this paper is about

A new construction for the complementary sets of polyphase sequences is presented. The new construction is based on the application of Zadoff—Chu, as well as Ipatov polyphase sequences with ideal periodic autocorrelation function. It is shown that cyclic time shifted versions of either polyphase sequences form the complementary set, if the length of sequences is N = 5. m2 and the corresponding time shifts are different multiples of m, where s and m are any positive integers.

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Available abstract

A new construction for the complementary sets of polyphase sequences is presented. The new construction is based on the application of Zadoff—Chu, as well as Ipatov polyphase sequences with ideal periodic autocorrelation function. It is shown that cyclic time shifted versions of either polyphase sequences form the complementary set, if the length of sequences is N = 5. m2 and the corresponding time shifts are different multiples of m, where s and m are any positive integers.

Key concepts: Polyphase system, Complementary sequences, Autocorrelation, Mathematics, Chirp, Sequence (biology), Set (abstract data type), Ideal (ethics)

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