| Presentation | 1999/12/17 Tracking Analysis of a Gradient-Based Adaptive IIR Notch Filter with Constrained Poles and Zeros Yoshihiro Takeshita, Yegui Xiao, Katsunori Shida, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Gradient-type algorithms for adaptive IIR notch filters are very attractive in terms of performance and computation cost as well. However, it is generally quite difficult to assess their performances analytically. There are several trials to analyze their steady-state properties. Their tracking properties, however, have not been investigated yet. This paper analyzes, for the first time, the tracking properties of a gradient-based adaptive IIR notch filter with constrained poles and zeros for a linear chirped sinusoid in noise. Closed form expressions for the asymptotic tracking error and the mean square error (MSE) of frequency estimate are derived. First, theoretical expressions for asymptotic output signal of the notch filter and its corresponding gradient filter are developed based on Taylor series expansions of these two filters in the vicinity of the instantaneous signal frequency. Difference equations governing convergences in the mean and mean square of the algorithm are then established, and the asymptotic tracking error and MSE of the algorithm are derived from them. Extensive simulations are provided to support the analytical findings. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Adaptive IIR notch filters / Gradient algorithm / Tracking analysis |
| Paper # | DSP99-150 |
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| Conference Information | |
| Committee | DSP |
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| Conference Date | 1999/12/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Digital Signal Processing (DSP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Tracking Analysis of a Gradient-Based Adaptive IIR Notch Filter with Constrained Poles and Zeros |
| Sub Title (in English) | |
| Keyword(1) | Adaptive IIR notch filters |
| Keyword(2) | Gradient algorithm |
| Keyword(3) | Tracking analysis |
| 1st Author's Name | Yoshihiro Takeshita |
| 1st Author's Affiliation | Graduate school of Science and Engineering, Saga University() |
| 2nd Author's Name | Yegui Xiao |
| 2nd Author's Affiliation | Faculty of Human Life and Environmental Science, Hiroshima Women's University |
| 3rd Author's Name | Katsunori Shida |
| 3rd Author's Affiliation | Graduate school of Science and Engineering, Saga University |
| Date | 1999/12/17 |
| Paper # | DSP99-150 |
| Volume (vol) | vol.99 |
| Number (no) | 505 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |