Abstract:Signal filtering,spectrum analysis and adaptive signal processing have been widely used in all-phase signal processing.In this paper,based on one-dimensional a ll-phase signal processing method,the mathematical formula of two-dimensional all-phase trans formation is given,and the corresponding signal processing system diagram is constructed.Se condly,the sufficient and necessary condition for linear phase of all-phased transform is analyzed to present all-phased wave-packets.Thirdly,Bartlett and Blackman base window are select ed to simulate 20all-phased wave-packets,respectively.Finally,by means of these packets, it′s successfully to decompose two tested images.Experimental results demonstrate that all-phased w ave-packets can be used to analyze the image in different layers,thereby achieving sub-ima ges with multi-resolution in frequency domain and time domain.This novel method will potential ly be applied in image compression,edge detection and adaptive signal processing fields.