On perfect sequences with unique differences
Finite chirp is a discrete version of the linear FM chirp, subject to a modest restriction. Some subsets of finite chirps are equivalent to certain special sets of polyphase sequences with ideal correlation properties, known as chirp-like perfect polyphase sequence sets. By casting the analysis of finite chirps in the Zak space and subsequently decoupling the actions of modulation and permutation, these sets can be generalized to arbitrary perfect polyphase sequence sets. In this talk we investigate the structure and numerics of these sets when viewed as sets of permutations. This talk is based, in part, on a joint work with Richard Tolimieri and Myoung An.