| Group-normalized processing of complex wavelet packets |
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| 作者姓名： | 石卓尔 保铮 |
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| 作者单位： | State Key Laboratory for Radar Signal Processing，Xidian University，Xi'an 710071，China，State Key Laboratory for Radar Signal Processing，Xidian University，Xi'an 710071，China |
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| 基金项目： | Project partly supported by Research Grant of the Chinese Academy of Electronic Science. |
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| 摘 要： | Linear phase is not possible for real valued FIR QMF, while linear phase FIR biorthogonal wavelet filter banks make the mean squared error of the constructed signal exceed that of the quantization error. W Lawton' s method for complex valued wavelets construction is extended to generate the complex valued compactly supported wavelet packets that are symmetrical and unitary orthogonal; then well-defined wavelet packets are chosen by the analysis remarks on their time-frequency characteristics. Since the traditional wavelel packets transform coefficients do not exactly represent the strength of signal components, a modified adaptive wavelets transform, group-normalized wavelet packet transform (GNWPT), is presented and utilized for target extraction from formidable clutter or noises with the time-frequency masking technique. The extended definition of lp-norm entropy improves the performance cf GNWPT. Similar method can also be applied to image enhancement, clutter and noise suppression, optimal detection
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Group-normalized processing of complex wavelet packets |
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| Zhuo’er Shi,Zheng Bao.Group-normalized processing of complex wavelet packets[J].Science in China(Technological Sciences),1997,40(1):28-43. |
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| Authors: | Zhuo’er Shi Zheng Bao |
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| Affiliation: | 1. State Key Laboratory for Radar Signal Processing, Xidian University, 710071, Xi’an, China
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| Abstract: | Linear phase is not possible for real valued FIR QMF, while linear phase FIR biorthogonal wavelet filter banks make the mean squared error of the constructed signal exceed that of the quantization error. W Lawton' s method for complex valued wavelets construction is extended to generate the complex valued compactly supported wavelet packets that are symmetrical and unitary orthogonal; then well-defined wavelet packets are chosen by the analysis remarks on their time-frequency characteristics. Since the traditional wavelel packets transform coefficients do not exactly represent the strength of signal components, a modified adaptive wavelets transform, group-normalized wavelet packet transform (GNWPT), is presented and utilized for target extraction from formidable clutter or noises with the time-frequency masking technique. The extended definition of lp-norm entropy improves the performance cf GNWPT. Similar method can also be applied to image enhancement, clutter and noise suppression, optimal detection and radar imaging |
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| Keywords: | complex valued wavelet packets group-normalization masking |
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