The exploration of a real method to analyze non-stationary signals and devising a time-frequency representation of signals have steadily developed over the last 40years

and there have recently been significant advance.Moreover

combined with the.wavelet theory

it has initially been developed into a unifying framework

called as the generalized time-frequency representation（GTFR）

which includes the most important distributions.This paper reviews the GTFR and describes the potential of its wide applications by taking some examples of speech analysis.