Complex sequences with low periodic correlations (Corresp.)

Abstract

Three types of families of complex periodic sequences are shown to have nearly minimal correlation magnitudes. The sequences contain no zero entries. For certain pairs of sequences of period <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N=(p- 1)/2, p</tex> a prime, all nonpeak correlation coefficients have magnitude close to <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(2N)^{-1/2}</tex> .