New polyphase sequence sets with all-zero cross-correlation.

This work describes an M2 × M Zak space construction of new zero correlation zone polyphase sequence sets, of sequence length M3 and set size M, with all-zero cross-correlation. The construction includes the sets with (M−1)-point, (T2M−1)-point and (M2 −1)-point zero auto correlation zone, where T2 is an arbitrary non-trivial factor of M. All sequences in these sets have sparse discrete Fourier transforms with constant non-zero magnitude at M2 points and zero magnitude at (M −1)M2 points. [ABSTRACT FROM PUBLISHER]