| Presentation | 2005/6/9 Approximation of Probability Distribution Function of Maximum Likelihood Ratio for Signal Number Detection Ming ZHANG, Tingting TENG, Wei FAN, Masakiyo SUZUKI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In various scenes of signal processing, one of the basic and central problems consists in detecting the number of signals. Techniques of the modle seletcion based on information criteria, such as AIC and MDL, are most commonly used for detecting the number of signals. However, conventional techniques could not be applied to tha case of the case of a small number of obervation samples available. We have proposed a novel design method of criteria BML, an abreviation of Biased Maximum Likelihood, for detecting the number of signals to overcome the problem. To design the proposed criteria, the probability distribution function of the Maximum Likelihood Ratio, MLR, which is not formulated analytically, is needed. In this report, we show that a sample of MLR can be generated only from nouse samples. It makes us possible to partially estimate the probability distribution function of MLR by collecting large number of samples of MLR. To extrapolate the partially estimated probability distribution finction, we propose to approximate it by a suitable function. Finally, simulation results are shown to demonstrate the validity of the proposed approximation method of probability distribution function of MLR. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | signal number detection / MDL / BML / maximum likelihood ratio / probability distribution function |
| Paper # | SIS2005-4 |
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| Committee | SIS |
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| Conference Date | 2005/6/9(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (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) | Approximation of Probability Distribution Function of Maximum Likelihood Ratio for Signal Number Detection |
| Sub Title (in English) | |
| Keyword(1) | signal number detection |
| Keyword(2) | MDL |
| Keyword(3) | BML |
| Keyword(4) | maximum likelihood ratio |
| Keyword(5) | probability distribution function |
| 1st Author's Name | Ming ZHANG |
| 1st Author's Affiliation | Course of Computer Sciences, Graduate School of Engineering, Kitami Institute of Technology() |
| 2nd Author's Name | Tingting TENG |
| 2nd Author's Affiliation | Course of Computer Sciences, Graduate School of Engineering, Kitami Institute of Technology |
| 3rd Author's Name | Wei FAN |
| 3rd Author's Affiliation | Course of Computer Sciences, Graduate School of Engineering, Kitami Institute of Technology |
| 4th Author's Name | Masakiyo SUZUKI |
| 4th Author's Affiliation | Course of Computer Sciences, Graduate School of Engineering, Kitami Institute of Technology |
| Date | 2005/6/9 |
| Paper # | SIS2005-4 |
| Volume (vol) | vol.105 |
| Number (no) | 111 |
| Page | pp.pp.- |
| #Pages | 6 |
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