Some unique properties and applications of perfect squares minimum phase CAZAC sequences

Abstract

Properties described include the Constant Amplitude (CA) and Zero AutoCorrelation (ZAC) features, the ideal unfiltered and filtered Fourier transforms, the complex time domain, phase trajectory and perfect (unfiltered as well as filtered) periodic autocorrelation function properties. Additional characteristics presented are the remarkable resemblance between the CAZAC sequences and CWFM chirp signals, as well as the relationship between their instantaneous frequency and Fourier transform representations. Examples of the generation of typical PS-MP CAZAC sequences are given. It is demonstrated that these sequences are periodically, self-invertible and therefore constitute the optimum sequences for maximum-likelihood channel estimation. The paper includes simulation results with reference to potential applications.<>