FAST COMPUTING METHOD OF WAVELET TRANSFORMATION

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  • 連続ウェーブレット変換の高速計算法についての検討
  • レンゾク ウェーブレット ヘンカン ノ コウソク ケイサンホウ ニ ツイテ ノ ケントウ

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In this paper, we examine a fast computing method of continuous wavelet transform. That is, we propose ways to improve accuracy and to compute phase information which arise in attempting to do fast algorithm in frequency domain. To improve accuracy, it is effective to use mother wavelets whose frequency is lower by 2 octaves than the Nyquist frequency. This technique doesn't have an influence on the computational speed regardless of improving computation accuracy. Moreover, to get a high degree of accuracy in high frequency area, to use up-sampling by L-Spline interpolation it is effective. In addition, the effectivity of our method for phase infomation was confirmed by model signal.

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