| Presentation | 2005/9/9 Fast RLS Fourier Analyzers for Sinusoidal Signals in Noise Yegui XIAO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Adaptive Fourier analyzers are used to estimate the coefficients of sine and cosine terms of noisy sinusoidal signals whose frequencies are usually assumed known a prior. The conventional recursive least square (RLS) Fourier analyzer provides excellent performance, but is computationally very intensive. In this paper, we first propose four fast RLS (FRLS) algorithms by utilizing the inherent characteristics of the estimation problem. The four new FRLS algorithms show almost the same performance and indicate estimation capabilities that are very similar to those of the original RLS. However, they require considerably less computations. Second, the performance of the proposed FRLS algorithms is analyzed in detail. Difference equations governing their dynamics as well as closed-form expressions for their steady-state mean square errors (MSE) are derived and compared with those of the LMS Fourier analyzer. Extensive simulations are provided to demonstrate the performance capabilities of the four FRLS and the original RLS algorithms, and the validity of the analytical findings. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Adaptive Fourier analysis / RLS / Fast RLS / Performance analysis / Mean square error |
| Paper # | SIP2005-81,SIS2005-30,SP2005-63 |
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| Conference Information | |
| Committee | SIS |
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| Conference Date | 2005/9/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Smart Info-Media Systems (SIS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Fast RLS Fourier Analyzers for Sinusoidal Signals in Noise |
| Sub Title (in English) | |
| Keyword(1) | Adaptive Fourier analysis |
| Keyword(2) | RLS |
| Keyword(3) | Fast RLS |
| Keyword(4) | Performance analysis |
| Keyword(5) | Mean square error |
| 1st Author's Name | Yegui XIAO |
| 1st Author's Affiliation | Dept. of Management & Information Systems, Prefectural University of Hiroshima() |
| Date | 2005/9/9 |
| Paper # | SIP2005-81,SIS2005-30,SP2005-63 |
| Volume (vol) | vol.105 |
| Number (no) | 294 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |