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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Main Authors: Han-Min Hu, 胡翰民
Other Authors: 嚴健彰
Format: Others
Language:en_US
Published: 2009
Online Access:http://ndltd.ncl.edu.tw/handle/78770283449769236104
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spelling 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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language en_US
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description 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.
author2 嚴健彰
author_facet 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
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