Analysis of error in the fixed-point implementation of two-dimensional discrete wavelet transforms

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 3, 2005, Pages 641-655

  Reza, Ali Moghaddamjo ^a   Zhu, Lian ^b  

^a University of Wisconsin Milwaukee   (United States)

^b Crowley Davis Research   (United States)

Author keywords

Error analysis; Hardware implementation; JPEG2000; Quantization error; Wavelet transform

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIGITAL FILTERS; ERROR ANALYSIS; IMAGE COMPRESSION; IMAGE RECONSTRUCTION; MONTE CARLO METHODS;

DISCRETE WAVELET TRANSFORM; HARDWARE IMPLEMENTATION; QUANTIZATION ERROR;

WAVELET TRANSFORMS;

EID: 16344367949     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.842877     Document Type: Article

References (13)

1. S. G. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation" IEEE Trans. Pattern Anal. Mach. Intell., vol. 11, no. 2, pp. 674-693, Mar. 1989.
2. O. Rioul and P. Duhamel, "Fast algorithms for discrete and continuous wavelet transforms," IEEE Trans. Inf. Theory, vol. 38, no. 3, pp. 569-586, Mar. 1992.
3. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, "Image coding using wavelet transform," IEEE Trans. Image Process., vol. 1, no. 4, pp. 205-220, Apr. 1992.
4. M. Vetterli and J. Kovacevic, Wavelet and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
5. I. Daubechies and W. Sweldens, "Factoring wavelet transforms into lifting steps," J. Fourier Anal. Appl., vol. 4, no. 3, pp. 247-269, 1998.
6. C. Christopoulos, A. Skodras, and T. Ebrahimi, "The JPEG2000 still image coding system: an overview," IEEE Trans. Consum. Electron., vol. 46, no. 11, pp. 1103-1127, Nov. 2000.
7. JPEG2000: The Next Generation Still Image Compression Standard, ISO/IEC Standard JTC1/SC29/WG1 N1734, Jun. 2000.
8. Information Technology-JPEG2000 Image Coding System: Part I, Final Committee Draft, ISO/IEC International Standard 15444-1, ITU Recommendation T. 800 [Online]: Available http://www.jpeg.org/public/ fcd15444-1.pdf, 2000.
9. D. Taubman and M. W. Marcellin, JPEG2000: Image Compression Fundamentals, Practice and Standards. Norwell, MA: Kluwer, 2001.
10. A.M. Reza and R. D. Tumey, "FPGA Implementation of 2-D wavelet transform," in Proc. 33rd Ann. Asilomar Conf. Signals, Systems, Computers, Pacific Grove, CA, Oct. 1999.
11. H. Choi, W. P. Burleson, and D. S. Phatak "Optimal wordlength assignment for the discrete wavelet transform in VLSI," in Proc. Workshop VLSI Signal Processing, VI, Veldhoven, The Netherlands, Oct. 1993, pp. 325-333.
12. B.E. Usevitch and C. L. Betancourt, "Fixed-point error analysis of two-channel perfect reconstruction filter banks with perfect alias cancellation," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, no. 11, pp. 1437-1440, Nov. 1999.
13. M. Weeks, "Precision for 2-D discrete wavelet transform processors," in Proc. IEEE Workshop Signal Processing Systems, (SiPS 2000), Lafayette, IN, Oct. 2000, pp. 80-89.