The periodic ambiguity function — Its validity and value

Abstract

The periodic ambiguity function (PAF) relates to Woodward's ambiguity function (AF) like periodic autocorrelation relates to autocorrelation. AF is defined for a finite signal, processed by its matched filter. PAF can handle periodic signals with infinite (or large) number of periods, and a processor that is matched to fewer periods. PAF suits practical scenarios found in radar employing coherent pulse train or CW waveforms. This paper revisits the PAF and its properties, demonstrating its value and viability.