Two-Band Hybrid FIR–IIR Filters for Image Compression

Two-band analysis-synthesis filters or wavelet filters are used pervasively for compressing natural images. Both FIR and IIR filters have been studied in this context, the former being the most popular. In this paper, we examine the compression performance of these two-band filters in a dyadic wavelet decomposition and attempt to isolate features that contribute most directly to the performance gain. Then, employing the general exact reconstruction condition, hybrid FIR-IIR analysis-synthesis filters are designed to maximize compression performance for natural images. Experimental results are presented that compare performance with the popular biorthogonal filters in terms of peak SNR, subjective quality, and computational complexity .

[1]  E. D. Re,et al.  Design of biorthogonal M-channel cosine-modulated FIR/IIR filter banks , 2000, IEEE Trans. Signal Process..

[2]  Mark J. T. Smith,et al.  Analysis/synthesis techniques for subband image coding , 1990, IEEE Trans. Acoust. Speech Signal Process..

[3]  Michel Barlaud,et al.  Image coding using wavelet transform , 1992, IEEE Trans. Image Process..

[4]  Tor A. Ramstad,et al.  On the optimality of nonunitary filter banks in subband coders , 1995, IEEE Transactions on Image Processing.

[5]  Wei Wang,et al.  Design of IIR orthogonal wavelet filter banks using lifting scheme , 2006, IEEE Transactions on Signal Processing.

[6]  Mark J. T. Smith,et al.  Exact reconstruction techniques for tree-structured subband coders , 1986, IEEE Trans. Acoust. Speech Signal Process..

[7]  Benjamin Belzer,et al.  Wavelet filter evaluation for image compression , 1995, IEEE Trans. Image Process..

[8]  Amir Averbuch,et al.  A new family of spline-based biorthogonal wavelet transforms and their application to image compression , 2004, IEEE Transactions on Image Processing.

[9]  S. Rout,et al.  Narrowing the performance gap between orthogonal and biorthogonal wavelets , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[10]  Michael W. Marcellin,et al.  JPEG2000 - image compression fundamentals, standards and practice , 2013, The Kluwer international series in engineering and computer science.

[11]  Mark J. T. Smith,et al.  New Perspectives and Improvements on the Symmetric Extension Filter Bank for Subband/Wavelet Image Compression , 2008, IEEE Transactions on Image Processing.

[12]  R. Ansari,et al.  FIR/IIR exact reconstruction filter banks with applications to subband coding of images , 1991, [1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems.

[13]  John W. Woods,et al.  Subband coding of images , 1986, IEEE Trans. Acoust. Speech Signal Process..

[14]  Jerome M. Shapiro,et al.  Embedded image coding using zerotrees of wavelet coefficients , 1993, IEEE Trans. Signal Process..

[15]  Truong Q. Nguyen,et al.  Wavelets and filter banks , 1996 .

[16]  Truong Q. Nguyen,et al.  A progressive transmission image coder using linear phase uniform filterbanks as block transforms , 1999, IEEE Trans. Image Process..

[17]  T. Barnwell.  Subband coder design incorporating recursive quadrature filters and optimum ADPCM coders , 1982 .

[18]  Bryan Usevitch,et al.  A tutorial on modern lossy wavelet image compression: foundations of JPEG 2000 , 2001, IEEE Signal Process. Mag..

[19]  William A. Pearlman,et al.  A new, fast, and efficient image codec based on set partitioning in hierarchical trees , 1996, IEEE Trans. Circuits Syst. Video Technol..