Journal of Optoelectronics · Laser, Volume. 33, Issue 2, 193(2022)
Design of wave-packets two-dimensional all-phase-based filtering in DFT domain
Signal filtering,spectrum analysis and adaptive signal processing have been widely used in all-phase signal processing.In this paper,based on one-dimensional all-phase signal processing method,the mathematical formula of two-dimensional all-phase transformation is given,and the corresponding signal processing system diagram is constructed.Secondly,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 selected to simulate 20 all-phased wave-packets,respectively.Finally,by means of these packets, it′s successfully to decompose two tested images.Experimental results demonstrate that all-phased wave-packets can be used to analyze the image in different layers,thereby achieving sub-images with multi-resolution in frequency domain and time domain.This novel method will potentially be applied in image compression,edge detection and adaptive signal processing fields.
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KONG Qingyu, SU Fei. Design of wave-packets two-dimensional all-phase-based filtering in DFT domain[J]. Journal of Optoelectronics · Laser, 2022, 33(2): 193
Received: Jan. 9, 2021
Accepted: --
Published Online: Oct. 9, 2024
The Author Email: SU Fei (sufei@tjut.edu.cn)