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To eliminate the aliasing that appeared during the measurement of multi-components nonstationary signals, a novel kind of anti-aliasing algorithm based on the short time Fourier transform (STFT) is brought forward. First the physical essence of aliasing that occurs is analyzed; second the interpolation algorithm model is setup based on the Hamming window; then the fast implementation of the algorithm...
Wavelet packet transform (WPT) is one of the most powerful tools in the analysis of the nonstationary signals. Shannon wavelet function is the only function that can divide the frequency domain strictly in the single wavelet family, but the time waveform of Shannon wavelet is not compactly supported, so the application of it is limited. In this paper, a kind of optimized Shannon wavelet transform...
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