Detection of multiple chirp signals based on a slice of the instantaneous higher-order moments

Abstract

A time-frequency (T-F) representation is defined which forces the contribution of the auto terms to appear at fixed positions on the T-F plane, while the cross terms appear at positions that vary depending on the particular slice. The choice of the moment slice is not unique as long as it satisfies certain conditions. Considering different moment slices yields different T-F representations. Summing the distributions corresponding to different moment slices, causes only the parts due to the auto terms to add up, since their positions depend only on the signal parameters.<>