Integrating the eigenvalue decomposition(ED) with time-frequency masking(TFM) of Wigner distribution(WD)

an algorithm of signal decomposition was presented

and generalized to other type of TFRs with cross-terms reduction.For multi-component signals

whose components respectively exist in the time-frequency (TF) regions which does not overlapped with each other

it was testified that

signal components may be corresponded to the ED of the inverse Fourier transform (IFT) of the summation of the components’ WDs.By thresholding

the TF support regions of the WD’s auto terms maybe obtained from the TF representations (TFRs) with cross-terms reduction;and from WD by TFM

one TFR which reduces the cross-terms and keeps the auto-terms’ concentration may be obtained.Then the ED of IFT of this TFR can achieve multi-component signal decomposition.The results of simulations and instance illustrated the validity and practicability of the theory and algorithm.Finally

the performance of the algorithm was analyzed and its application was popularized.