CIESC Journal

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正交小波(包)的矩阵表达

杜红彬; 滕虎; 姚平经   

  1. Institute of Process System Engineering, Dalian University of Technology, Dalian
    116012,China
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2002-12-28 发布日期:2002-12-28
  • 通讯作者: 杜红彬

Matrix Expression of the Orthogonal Wavelet (Packets) Transform

DU Hongbin; TENG Hu; YAO Pingjing   

  1. Institute of Process System Engineering, Dalian University of Technology, Dalian
    116012,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2002-12-28 Published:2002-12-28
  • Contact: DU Hongbin

摘要: Matrix expression of finite orthogonal wavelet transform of finite impulse response signal
is more valuable for theoretical analysis and understanding. However, clear deduction for
matrix expression has not been provided yet. In this paper, the formulation to generate the
related matrix is put forward and the theorem on the orthogonality of this matrix proved.
This effort deploys a basis for more deeper and wider applications in chemical processes.

关键词: finite orthogonal wavelet (packets) transform;manix expression;finite impulse response signal

Abstract: Matrix expression of finite orthogonal wavelet transform of finite impulse response signal
is more valuable for theoretical analysis and understanding. However, clear deduction for
matrix expression has not been provided yet. In this paper, the formulation to generate the
related matrix is put forward and the theorem on the orthogonality of this matrix proved.
This effort deploys a basis for more deeper and wider applications in chemical processes.

Key words: finite orthogonal wavelet (packets) transform, manix expression, finite impulse response signal