Factorizability of complex signals higher (even) order spectra: a necessary and sufficient condition
J. Le Roux, Cécile Huet · 2002
This communication presents a necessary and sufficient condition for the factorizability of higher order spectra of complex signals. This condition is based on the symmetries of higher order spectra and on an extension of a formula proposed by Marron, Sanchez and Sullivan for unwrapping 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 order spectra. Our factorisability test requires no phase unwrapping.