The optimum approximation of vector signals with a finite number of variables using multi-input multi-output filter banks (宇宙・航行エレクトロニクス)

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概要

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• In this paper, we define a multi-input multi-output system composed of given analysis-filter matrices, given sampler matrices and interpolation-filter matrices to be optimized, respectively. It is assumed that input-signal vectors of this system have a finite number of variables and these input-signal vectors are contained in a certain given set of input-signal vectors. Firstly, we define new notations which expresses a kind of product between two matrices or between a vector and a matrix. Using these new notations, we show that the presented approximation satisfies a certain two conditions and prove that the presented approximation minimizes any upper-limit measure of error compared to any other linear or nonlinear approximation with same sample values, simultaneously.

• 社団法人電子情報通信学会の論文
• 2011-07-22

著者

• KIDA Takuro

  Tokyo Institute of Technology

• Kida Yuichi

  The School Of Pharmaceutical Sciences Ohu University

• Kida Takuro

  Tokyo Insititute Of Technol. Tokyo

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