Generalized S Transform and Its Time-Frequency Filtering

A Generalized S transform(GST)is derived theoretically from the short-time Fourier transform(STFT)with Gaussian window in the paper.The paper analyzes the relationship between GST and S transform(ST)and wavelet transform(WT).The numeri- cal implementation of GST is introduced later.The detailed analyses beth in theory and in the simulation indicate that the time-frequency window of GST can not only varying adaptively with the frequency,but also avoid the unchangeable and fixed varying pattern of the win- dow in ST.GST possesses adjustable time-frequency resolution with higher practicability and adaptability than ST in actual application. A time-frequency filter on the time-frequency plane based on its excellent time-frequency distribution is presented,which is used to ex- tract specific signal components and filter noise on the particular time-frequency plane.The simulation demonstrates that the filter based on GST is effective in signal extracting.