New class of polyphase sequences with two-valued auto- and crosscorrelation functions

Fan, P. Z. and Darnell, M. and Honary, Bahram (1994) New class of polyphase sequences with two-valued auto- and crosscorrelation functions. Electronics Letters, 30 (13). pp. 1031-1032. ISSN 0013-5194

Abstract

A new class of polyphase sequences with two-valued periodic auto- and crosscorrelation properties is proposed. It is proved that, for a given prime length L > 3, the out-of-phase ACFs and CCFs of the sequences are constant and equal to √L. It is also shown that sequences of the same length are mutually orthogonal and the correlation values asymptotically reach the Sarwate bound.