Presentation | 2011-07-29 THE OPTIMUM APPROXIMATION OF VECTOR SIGNALS WITH A FINITE NUMBER OF VARIABLES USING MULTI-INPUT MULTI-OUTPUT FILTER BANKS Yuichi Kida, Takuro Kida, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | 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. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | multi-input / multi-output filter banks / the optimum approximation / filtering matrices |
Paper # | SANE2011-46 |
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Conference Information | |
Committee | SANE |
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Conference Date | 2011/7/22(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Space, Aeronautical and Navigational Electronics (SANE) |
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Language | ENG |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | THE OPTIMUM APPROXIMATION OF VECTOR SIGNALS WITH A FINITE NUMBER OF VARIABLES USING MULTI-INPUT MULTI-OUTPUT FILTER BANKS |
Sub Title (in English) | |
Keyword(1) | multi-input |
Keyword(2) | multi-output filter banks |
Keyword(3) | the optimum approximation |
Keyword(4) | filtering matrices |
1st Author's Name | Yuichi Kida |
1st Author's Affiliation | The School of Pharmaceutical Sciences, Ohu University() |
2nd Author's Name | Takuro Kida |
2nd Author's Affiliation | Tokyo Institute of Technology |
Date | 2011-07-29 |
Paper # | SANE2011-46 |
Volume (vol) | vol.111 |
Number (no) | 166 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |