リアルタイムスペクトル解析の高速処理法における信号の分解と再構成

概要

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In recent years, the wavelet transform on the basis of multiresolution analysis has been considered as a concrete algorithm of an integral wavelet transform which performs a spectral analysis in time-frequency domain. On the other hand, authors have proposed a new analyzing method which updates the spectrum by using an input data only. The new method proposes analysis approach 1(AA1) which is a fundamental analysis method, and analysis approach 2(AA2) which is an analysis method that achieves high-speed processing. Decomposition and reconstruction of a signal based on AA1 was already proposed by the authors. This paper shows decomposition and reconstruction of a signal based on AA2. The decomposition wave in AA2 can not be obtained by the sama method as in the case of AA1 but by a mathematical processing. By the processing, the decomposition wave in AA2 is identical to the decomposition wave in AA1. Therefore, the decomposition and the reconstruction of the signal in AA2 result in the decomposition and the reconstruction of the signal in AA1. As an example of a numerical analysis, we show decomposition and reconstruction of Japanease vocal sound /i/.
2008-07-01