DocumentCode :
1349662
Title :
Signal Scaling by Centered Discrete Dilated Hermite Functions
Author :
Soo-Chang Pei ; Yun-Chiu Lai
Author_Institution :
Grad. Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Volume :
60
Issue :
1
fYear :
2012
Firstpage :
498
Lastpage :
503
Abstract :
We present a novel method to generate centered discrete dilated Hermite functions by utilizing Hermite-Gaussian differential equation and DFT commuting matrix proposed by Pei Compared with the conventional methods, our method provides much higher accuracy and wider working range. Based on expansion of compact support signals into discrete dilated Hermite basis, several examples of signal approximation and scaling are demonstrated. Our results in ECG signal compression can achieve lesser approximation error in comparison with discrete Daubechies wavelet transform. Also, our proposed discrete dilated Hermite functions have better ability to do signal scaling than the existing method.
Keywords :
differential equations; discrete Fourier transforms; discrete wavelet transforms; electrocardiography; signal processing; DFT commuting matrix; ECG signal compression; Hermite-Gaussian differential equation; centered discrete dilated Hermite functions; discrete Daubechies wavelet transform; signal scaling; Approximation error; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Electrocardiography; Symmetric matrices; Commuting matrix; discrete Fourier transform (DFT); discrete Hermite functions; signal compression; signal scaling;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2011.2171687
Filename :
6044726
Link To Document :
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