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

A time-frequency (T-F) representation is proposed that is useful in the detection of multicomponent chirp signals. This representation is defined in terms of a slice of instantaneous higher-order moments of the signal, and 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. The consideration of different moment slices yields different T-F representations. The distributions corresponding to different moment slices cause only the parts due to the auto terms to add up, since their positions depend only on the signal parameters.<>