Decimations of the Frank-Heimiller Sequences

William O. Alltop · IEEE Transactions on Communications · 1984

The Frank-Heimiller sequence of period N2withNphases is constructed by writing theNbyNdiscrete Fourier transform matrix by rows. The periodic autocorrelation sidelobes for such a sequence are all zero. Small families ofN-phase sequences, with optimal periodic cross correlations, can be formed by judicious selection of decimations of the Frank-Heimiller sequence.

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