Construction Method of Perfect Reconstruction Condition-Based Biorthogonal Wavelet

Rui Ming Li; Liang Gong; Qi Xiong

doi:10.4028/www.scientific.net/AMM.416-417.1305

Paper Titles

Analysis on the Application Principles and Development Characteristics of Multispectral Image Technology
p.1278

The Virtual Endoscope of Neurosurgery Used for Transnasal Approach
p.1282

Dual K-Type Ridge Estimation of Inverse Problem with Morbid Equality Constraints
p.1289

A New Class of Biased Estimate
p.1296

Construction Method of Perfect Reconstruction Condition-Based Biorthogonal Wavelet
p.1305

A Novel Channel Estimation Algorithm for Underwater Acoustic Systems
p.1309

RFID Tags Collision Resolution on Physical Layer by Using C-Means Clustering Algorithm
p.1314

The Simulation Design of the Base Station Enclosing Structure's Heat Transfer Model
p.1319

Study on the Smart Handheld Wireless Oscilloscope
p.1325

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 416-417Construction Method of Perfect Reconstruction...

Construction Method of Perfect Reconstruction Condition-Based Biorthogonal Wavelet

Abstract:

This paper proposes a general construction method of biorthogonal wavelet based on perfect reconstruction condition. With the certain filter length and vanishing moment, it can educe the biorthogonal wavelets filter coefficient by solving equations. Thereafter, this method constructs 5/3 wavelet, CDF9/7 wavelet and 9/7 wavelet with simple coefficient, which applies well to hardware, for JPEG2000.

You might also be interested in these eBooks

Linear Drives for Industry Applications IX

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 416-417)

Pages:

1305-1308

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.416-417.1305

Citation:

Cite this paper

Online since:

September 2013

Authors:

Rui Ming Li, Liang Gong, Qi Xiong

Keywords:

Biorthogonal Wavelet, Image Compression, Perfect Construction, Wave Filter

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Douglas E Comer. Internetworking with TCP/IP. Vol I[M]. Prentice Hall, (1995).

Google Scholar

[2] W. Sweldens. The lifting scheme : a custom-design of biorthogonal wavelets, Applied computational and harmonic Analysis. Vol. 3(2), pp: 186~200, (1996).

DOI: 10.1006/acha.1996.0015

Google Scholar

[3] Guangjun Zhong, Lizhi Cheng, Huowang Chen. Simple Wavelet Filter Based on Lifting Method. Computer Engineering and Science, 2003, vol. 25, No. 1.

DOI: 10.1109/icip.2001.958471

Google Scholar

[4] David B.H. Tay, Bundoora. A Class of Lifting Based Integer Wavelet Transform. Image Processing, 2001. Proceedings. 2001 International Conference on Volume 1, 7-10 Oct. 2001 Page(s): 602 - 605 vol. 1.

DOI: 10.1109/icip.2001.959088

Google Scholar

[5] P.P. Dang, Reduced Complexity VLSI Implementation of Discrete Wavelet Transform for Image and Video Compression. Ph.D. Dissertation, University of California, San Diego, (2002).

Google Scholar

[6] K. A. Kotteri, A. E. Bell, and J. E. Carletta, Design of multiplierless, high-performance, wavelet filter banks with image compression applications, IEEE Trans. Circuits Syst. I, vol. 51, pp: 483~494, (2004).

DOI: 10.1109/tcsi.2003.820234

Google Scholar

[7] HyungJun Kim; Li, C.C.; Lossless and lossy image compression using biorthogonal wavelet transforms with multiplierless operations. Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on, Vol. 45, Issue 8, pp: 1113 ~ 1118, (1998).

DOI: 10.1109/82.718821

Google Scholar

[8] Cohen A I, Daubechies I, Feauveau J C. Biorthogonal Bases of Compactly Supported Wavelets. Comm Pure and Applied Math, vol. 45, pp: 485~560, (1992).

DOI: 10.1002/cpa.3160450502

Google Scholar