A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial
碩士 === 輔仁大學 === 數學系研究所 === 97 === We present that a strategy for designing finite impulse response orthonormal wavelets. The strategy is to design a nearly ideal filter banks, which is based on zero-pinning the Bernstein polynomial technique. A comparison using the L1 and L2 norms studies the effect...
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ndltd-TW-097FJU004790072016-05-06T04:11:49Z http://ndltd.ncl.edu.tw/handle/78770283449769236104 A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial 伯因斯坦多項式零根選擇法建構正規小波的策略研究 Han-Min Hu 胡翰民 碩士 輔仁大學 數學系研究所 97 We present that a strategy for designing finite impulse response orthonormal wavelets. The strategy is to design a nearly ideal filter banks, which is based on zero-pinning the Bernstein polynomial technique. A comparison using the L1 and L2 norms studies the effect of these nearly ideal filter banks. The good candidate is L1 nearly ideal filter banks. We also compare L1 nearly ideal filters with Daubechies’ orthonormal wavelets for image compression. 嚴健彰 2009 學位論文 ; thesis 36 en_US |
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碩士 === 輔仁大學 === 數學系研究所 === 97 === We present that a strategy for designing finite impulse response orthonormal wavelets. The strategy is to design a nearly ideal filter banks, which is based on zero-pinning the Bernstein polynomial technique. A comparison using the L1 and L2 norms studies the effect of these nearly ideal filter banks. The good candidate is L1 nearly ideal filter banks. We also compare L1 nearly ideal filters with Daubechies’ orthonormal wavelets for image compression.
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嚴健彰 |
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嚴健彰 Han-Min Hu 胡翰民 |
author |
Han-Min Hu 胡翰民 |
spellingShingle |
Han-Min Hu 胡翰民 A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
author_sort |
Han-Min Hu |
title |
A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
title_short |
A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
title_full |
A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
title_fullStr |
A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
title_full_unstemmed |
A study on strategies for orthonormal wavelet design based on zero-pinning Bernstein polynomial |
title_sort |
study on strategies for orthonormal wavelet design based on zero-pinning bernstein polynomial |
publishDate |
2009 |
url |
http://ndltd.ncl.edu.tw/handle/78770283449769236104 |
work_keys_str_mv |
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