Implementation of Time-Scale Transformation Based on Continuous Wavelet Theory  

作　　者：Zhu, Xiaoguang  Hong, Bingrong  Wang, Dongmu 

机构地区：[1] Harbin Inst of Technology, Harbin, China

出　　处：《Journal of Systems Engineering and Electronics》2000年第1期32-37,共6页系统工程与电子技术（英文版）

摘　　要：The basic objective of time-scale transformation is to compress or expand the signal in time field while keeping the same spectral properties. This paper presents two methods to derive time-scale transformation formula based on continuous wavelet transform. For an arbitrary given square-integrable function f(t),g(t) = f(t/λ) is derived by continuous wavelet transform and its inverse transform. The result shows that time-scale transformation may be obtained through the modification of the time-scale of wavelet function filter using equivalent substitution. The paper demonstrates the result by theoretic derivations and experimental simulation.The basic objective of time-scale transformation is to compress or expand the signal in time field while keeping the same spectral properties. This paper presents two methods to derive time-scale transformation formula based on continuous wavelet transform. For an arbitrary given square-integrable function f(t),g(t) = f(t/λ) is derived by continuous wavelet transform and its inverse transform. The result shows that time-scale transformation may be obtained through the modification of the time-scale of wavelet function filter using equivalent substitution. The paper demonstrates the result by theoretic derivations and experimental simulation.

关 键 词：Frequency domain analysis Integral equations Signal processing Spectrum analysis Time domain analysis Time series analysis Wave filters 

分 类 号：TN911.7[电子电信—通信与信息系统]