| 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, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| 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 |
| Date of Issue |
| Conference Information | |
| Committee | SANE |
|---|---|
| Conference Date | 2011/7/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Space, Aeronautical and Navigational Electronics (SANE) |
|---|---|
| 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 | |