Design of orthonormal wavelets with better time-frequency resolution

Hui Xie, Joel M. Morris · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994

The signal decomposition techniques are an important tool for analyzing nonstationary signals. The time-frequency resolution of the decomposition basis functionals is essential to a variety of signal processing applications. The recently introduced wavelet transform is a very promising tool for signal analysis, but little attention has been paid to the time-frequency resolution property of wavelets. This paper describes a procedure to design wavelets with better time-frequency resolution. Some design examples and comparisons with traditional wavelets are also presented.

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