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Signal Analysis Based on A Synthetic Method of Wavelet Transform and Fourier Transform

Peng Wang

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Abstract

In this paper a synthetic method of wavelet transform and Fourier transform is presented.Signal is first decomposed by wavelet transform.Then one can get each sub-band signals? spectrum by fast Fourier transform.Computer simulations show that this method possesses the combined merits of wavelet transform and Fourier transform.

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What this paper is about

In this paper a synthetic method of wavelet transform and Fourier transform is presented.Signal is first decomposed by wavelet transform.Then one can get each sub-band signals? spectrum by fast Fourier transform.Computer simulations show that this method possesses the combined merits of wavelet transform and Fourier transform.

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Method / approach

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Available abstract

In this paper a synthetic method of wavelet transform and Fourier transform is presented.Signal is first decomposed by wavelet transform.Then one can get each sub-band signals? spectrum by fast Fourier transform.Computer simulations show that this method possesses the combined merits of wavelet transform and Fourier transform.

Key concepts: Harmonic wavelet transform, Constant Q transform, Wavelet transform, Computer science, Fractional Fourier transform, Second-generation wavelet transform, Short-time Fourier transform, S transform

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