Factorizability of complex signals higher (even) order spectra: anecessary and sufficient condition

摘要

This communication presents a necessary and sufficient conditionfor the factorizability of higher order spectra of complex signals. Thiscondition is based on the symmetries of higher order spectra and on anextension of a formula proposed by Marron, Sanchez and Sullivan forunwrapping phases of third order spectra (see J. Opt. Soc. Am. A, vol.7,p.14-20, 1990). It is an identity between products of higher orderspectra. Our factorisability test requires no phase unwrapping