| Presentation | 2011-06-30 Statistical Mechanical Analysis of the Filtered-X LMS Algorithm (II) Seiji MIYOSHI, Yoshinobu KAJIKAWA, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We analyze the dynamical behaviors (learning curves) of active noise control with Filtered-X LMS algorithm using statistical mechanical method. Direction cosines among coefficient vectors of an adaptive filter, its shifted filters, and an unknown system are treated as the macroscopic variables. We obtain the simultaneous differential equations that describe the dynamical behaviors of the macroscopic variables when the tapped-delay line is long. We analytically solve the equations. Neither the independence assumption nor the small step sizes condition are used. The obtained theory quantitatively agrees with computer simulations, regardless of whether there is noises on error microphone. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Filtered-X LMS algorithm / adaptive filter / active noise control / statistical mechanics of information / thermodynamic limit |
| Paper # | CAS2011-4,VLD2011-11,SIP2011-33,MSS2011-4 |
| Date of Issue |
| Conference Information | |
| Committee | MSS |
|---|---|
| Conference Date | 2011/6/23(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 | Mathematical Systems Science and its applications(MSS) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical Mechanical Analysis of the Filtered-X LMS Algorithm (II) |
| Sub Title (in English) | |
| Keyword(1) | Filtered-X LMS algorithm |
| Keyword(2) | adaptive filter |
| Keyword(3) | active noise control |
| Keyword(4) | statistical mechanics of information |
| Keyword(5) | thermodynamic limit |
| 1st Author's Name | Seiji MIYOSHI |
| 1st Author's Affiliation | Faculty of Engineering Science, Kansai University() |
| 2nd Author's Name | Yoshinobu KAJIKAWA |
| 2nd Author's Affiliation | Faculty of Engineering Science, Kansai University |
| Date | 2011-06-30 |
| Paper # | CAS2011-4,VLD2011-11,SIP2011-33,MSS2011-4 |
| Volume (vol) | vol.111 |
| Number (no) | 105 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |