| Presentation | 2008-07-24 A Pre-Inverse Adaptive System and Its Convergence Condition Based on APMA Decomposition Masaki KOBAYASHI, Chi WANG, |
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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 becomes a stable transfer function, the peculiar 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 APMP (All-Pass 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. First, the derivation by the tap coefficient of the cost function is strictly derived, and the gradient is replaced to the target gradient. Next, it is shown that Hessian becomes a positive definite by using the replaced gradient and the convergence condition is formulated. Finally, these results of theoretical consideration are verified by computer simulation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Adaptive Filter / Digital Control / Digital Signal Processing / Inverse Transfer Function / Adaptive Algorithm |
| Paper # | SIP2008-69,WBS2008-7 |
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| Conference Information | |
| Committee | WBS |
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| Conference Date | 2008/7/17(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Wideband System(WBS) |
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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 APMA Decomposition |
| Sub Title (in English) | |
| Keyword(1) | Adaptive Filter |
| Keyword(2) | Digital Control |
| Keyword(3) | Digital Signal Processing |
| Keyword(4) | Inverse 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 |
| Date | 2008-07-24 |
| Paper # | SIP2008-69,WBS2008-7 |
| Volume (vol) | vol.108 |
| Number (no) | 165 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |