Performance evaluation of the B-distribution

Abstract

The properties of the previously proposed B-distribution are investigated. We show that this distribution satisfies most of the desirable properties sought for a time-frequency distribution. That is, we show that the B-distribution is real, time and frequency shift invariant and its first moment with respect to frequency yields the instantaneous frequency of the signal. We also show, using real and synthetic data, that the B-distribution outperforms other quadratic time-frequency distributions in resolving signals' components in the time-frequency domain. It achieves a better time-frequency resolution and a better energy concentration around the instantaneous frequency of the signal, and still significantly suppresses the cross-terms.