Matrix Expression of the Orthogonal Wavelet (Packets) Transform

注意：本论文已在《Chinese J. Chem. Eng.》2002，10(6)：701－705上发表
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Matrix Expression of the Orthogonal Wavelet (Packets) Transform 

DU Hongbin (杜红彬), TENG Hu (滕虎) and YAO Pingjing (姚平经)
(Institute of Process System Engineering, Dalian University of Technology, Dalian 116012,China)

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, matrix expression, finite impulse response signal

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