| Sparsity analysis of signals |
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| 作者姓名： | HE Zhaoshui XIE Shengli FU Yuli |
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| 作者单位： | School of Electronics and Information Engineering, South China University of Technology, Guangzhou 510640, China |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金;广东省自然科学基金 |
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| 摘 要： | In this paper, the signals with generalized Gaussian distribution are considered. A mathematical formula is given to illustrate the sparsity of the signals. According to this formula, the measure of the Laplacian signal is 1, and Gaussian signal is 2. Given a signal, compared with Laplacian signal and Gaussian signal, we can intuitively know how sparse the signal is via its measure. Some examples demonstrate that, if there are no sufficient observed signals (e.g. only three observed signals), one can achieve underdetermined blind source separation (BSS) only for the sufficiently sparse source signals (e.g. much sparser than Laplacian signals) by the measure we defined.
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| 关 键 词： | generalized Gaussian distribution ICA BSS sparseness Iso?Probability?Density contour. |
Sparsity analysis of signals |
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| HE Zhaoshui,XIE Shengli,FU Yuli.Sparsity analysis of signals[J].Progress in Natural Science,2006,16(8):879-884. |
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| Authors: | HE Zhaoshui XIE Shengli FU Yuli |
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| Institution: | School of Electronics and Information Engineering, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | In this paper, the signals with generalized Gaussian distribution are considered. A mathematical formula is given to illustrate the sparsity of the signals. According to this formula, the measure of the Laplacian signal is 1, and Gaussian signal is 2. Given a signal, compared with Laplacian signal and Gaussian signal, we can intuitively know how sparse the signal is via its measure. Some examples demonstrate that, if there are no sufficient observed signals (e.g. only three observed signals), one can achieve underdetermined blind source separation (BSS) only for the sufficiently sparse source signals (e.g. much sparser than Laplacian signals) by the measure we defined. |
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| Keywords: | generalized Gaussian distribution ICA BSS sparseness Iso-Probability-Density contour |
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