Wavelet Coefficient Computation with Optimal Prefiltering

Xiang Gen Xia; C. C. Jay Kuo; Zhen Zhang

doi:10.1109/78.301858

Wavelet Coefficient Computation with Optimal Prefiltering

Xiang Gen Xia, C. C. Jay Kuo, Zhen Zhang

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters.

Original language	English
Pages (from-to)	2191-2197
Number of pages	7
Journal	IEEE Transactions on Signal Processing
Volume	42
Issue number	8
DOIs	https://doi.org/10.1109/78.301858
Publication status	Published - Aug 1994
Externally published	Yes

Access to Document

10.1109/78.301858

Cite this

Xia, X. G., Jay Kuo, C. C., & Zhang, Z. (1994). Wavelet Coefficient Computation with Optimal Prefiltering. IEEE Transactions on Signal Processing, 42(8), 2191-2197. https://doi.org/10.1109/78.301858

@article{5e47df277979468b8cdf13f741801123,

title = "Wavelet Coefficient Computation with Optimal Prefiltering",

abstract = "Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters.",

author = "Xia, {Xiang Gen} and {Jay Kuo}, {C. C.} and Zhen Zhang",

year = "1994",

month = aug,

doi = "10.1109/78.301858",

language = "English",

volume = "42",

pages = "2191--2197",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8",

}

TY - JOUR

T1 - Wavelet Coefficient Computation with Optimal Prefiltering

AU - Xia, Xiang Gen

AU - Jay Kuo, C. C.

AU - Zhang, Zhen

PY - 1994/8

Y1 - 1994/8

N2 - Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters.

AB - Discrete wavelet transform (DWT) is often used to approximate wavelet series transform (WST) and continuous wavelet transform (CWT), since it can be computed numerically. In this research, we first study the accuracy of the computed DWT coefficients obtained from the Shensa algorithm as an approximate of the WST coefficients. Based on the accuracy analysis, we then propose a procedure to design optimal FIR prefilters used in the Shensa algorithm to reduce the approximation error. Finally, numerical examples are presented to demonstrate the performance of the optimal FIR prefilters.

UR - http://www.scopus.com/inward/record.url?scp=0028483973&partnerID=8YFLogxK

U2 - 10.1109/78.301858

DO - 10.1109/78.301858

M3 - Article

AN - SCOPUS:0028483973

SN - 1053-587X

VL - 42

SP - 2191

EP - 2197

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 8

ER -

Wavelet Coefficient Computation with Optimal Prefiltering

Abstract

Access to Document

Other files and links

Fingerprint

Cite this