リアルタイムスペクトル解析法で正弦余弦波混合切り出し波での再構成波の近似精度向上

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2014/01/01

タイトル(英語): In Real Time Spectral Analysis Method, Improvement of Approximation Accuracy of the Reconstruction Wave by using the Cutting out Wave which Combined a Sine Wave and a Cosine Wave

著者名: 中辻　秀人

著者名(英語): Hideto Nakatsuji

キーワード: 時間周波数領域，ウェーブレット変換，フーリエ変換　　Time frequency domain，Wavelet transform，Fourier transform

要約(英語): In recent years, in the Fourier transform, the analytical method in which the length of the window for frequency can be arbitrarily determined was proposed by authors. Here, in the case that the length of a window is in inverse proportion to frequency, this becomes the same function as elasticity of the mother wavelet of Wavelet transform. In this analytical method, by using inner product between a sine wave or a cosine wave and a signal, the signal decomposes into many components which have each frequency. Furthermore calculating spectrum and reconstructing waveform from these decomposition waves were shown. Until now, a sine wave and a cosine wave have used independently as the cutting out wave. In this paper, In order to improve the approximation accuracy of the reconstruction wave, using the cutting out wave which combined a sine wave and a cosine wave is shown. In order to express the grade of approximation of a reconstruction wave and a signal waveform quantitatively, the degree of coincidence of both waveforms is introduced. In the example of numerical analysis, by using Japanese vocal sound /sa/, it is shown that the degree of approximation of the reconstruction wave to a signal waveform improves.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.134 No.1 （2014） 特集：スマート社会を支える電子回路技術

本誌掲載ページ: 131-137 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/134/1/134_131/_article/-char/ja/