| Presentation | 2008-09-26 A Pre-Inverse Adaptive System and Its Convergence Condition Based on Maximum and Minimum Phase Decomposition Masaki KOBAYASHI, Chi WANG, Yasutomo KINUGASA, Yoshio ITOH, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In general, the adaptive system using the structure in which an adaptive filter is placed before the unknown system to estimate the inverse transfer function of the unknown system is called pre-inverse adaptive system. The transfer function of the unknown system can be easily estimated by an adaptive transversal filter. Since there is no guarantee that the inverse transfer function of the estimated transfer function can be realized, various adaptive system has been studied. The representative example is an adaptive system that used the filtered-x adaptive algorithm. The correct adaptive performance cannot be expected since this system controls the main adaptive filter by using the output signal of the auxiliary adaptive filter that has the estimation error. In the maximum and minimum phase decomposition approach, the inverse of each transfer function becomes a stable transfer function that contains the delay so that the auxiliary adaptive filter becomes unnecessary and the correct adaptive performance can be expected. In this paper we propose an adaptive system and formulate the convergence condition of this adaptive system. Hessian is derived using the property that the output signal of the adaptive system always equals to the delay version of the input signal, and it is shown that Hessian becomes a positive definite. As a result, the convergence condition is formulated. Finally, these results of theoretical consideration are verified strictly by computer simulation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Maximum Phase / Digital Control / Digital Signal Processing / Transfer Function / Adaptive Algorithm |
| Paper # | SIP2008-102,SIS2008-37 |
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| Committee | SIS |
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| Conference Date | 2008/9/18(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Registration To | Smart Info-Media Systems (SIS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Pre-Inverse Adaptive System and Its Convergence Condition Based on Maximum and Minimum Phase Decomposition |
| Sub Title (in English) | |
| Keyword(1) | Maximum Phase |
| Keyword(2) | Digital Control |
| Keyword(3) | Digital Signal Processing |
| Keyword(4) | Transfer Function |
| Keyword(5) | Adaptive Algorithm |
| 1st Author's Name | Masaki KOBAYASHI |
| 1st Author's Affiliation | Faculty of Engineering, Chubu University() |
| 2nd Author's Name | Chi WANG |
| 2nd Author's Affiliation | Faculty of Engineering, Chubu University |
| 3rd Author's Name | Yasutomo KINUGASA |
| 3rd Author's Affiliation | Matsue National College of Technology |
| 4th Author's Name | Yoshio ITOH |
| 4th Author's Affiliation | Faculty of Engineering, Tottori University |
| Date | 2008-09-26 |
| Paper # | SIP2008-102,SIS2008-37 |
| Volume (vol) | vol.108 |
| Number (no) | 214 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |