Adaptive Wavelet Thresholding for Multichannel Signal Estimation

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5207, Issue 1, 2003, Pages 28-39

  Atkinson, Ian ^a   Kamalabadi, Farzad ^a   Jones, Douglas L ^a   Do, Minh N ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Adaptive; Estimation; Multichannel; Overcomplete; Wavelet

Indexed keywords

ALGORITHMS; CORRELATION METHODS; DISCRETE FOURIER TRANSFORMS; FORECASTING; GAUSSIAN NOISE (ELECTRONIC); MAGNETIC RESONANCE IMAGING; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; SIGNAL DISTORTION; SIGNAL PROCESSING; SIGNAL TO NOISE RATIO; WAVELET TRANSFORMS;

ADAPTIVE; BAYESHRINK ADAPTIVE THRESHOLD; MULTICHANNEL; OVERCOMPLETE; WAVELETS;

IMAGE ANALYSIS;

EID: 1242263440     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.506397     Document Type: Conference Paper

References (15)

1. D. L. Donoho, "Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data," in Proceedings of Symposia in Applied Mathematics, 47, pp. 173-205, 1993.
2. D. L. Donoho, "De-noising by soft-thresholding," IEEE Transactions on Information Theory 41, pp. 613-627, May 1995.
3. S. G. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, 1999.
4. D. Wei and A. C. Bovik, Wavelet Denoising for Image Enhancement, pp. 117-123. Academic Press, San Diego, 2000.
5. S. G. Chang, B. Yu, and M. Vetterli, "Spatially adaptive wavelet thresholding with context modeling for image denoising," IEEE Transactions on Image Processing 9, pp. 1522-1531, September 2000.
6. S. G. Chang, B. Yu, and M. Vetterli, "Image denoising via lossy compression and wavelet thresholding," in Proceedings of IEEE Int. Conf. Image Processing, 1, pp. 604-607, November 1997.
7. S. G. Chang, B. Yu, and M. Vetterli, "Adaptive wavelet thresholding for image denoising and compression," IEEE Transactions on Image Processing 9, pp. 1532-1546, September 2000.
8. I. Atkinson, "Wavelet-based near-optimal estimation of multichannel two-dimensional signals," Master's thesis, University of Illinois at Urbana-Champaign, 2003.
9. I. Atkinson, F. Kamalabadi, S. Mohan, and D. L. Jones, "Wavelet-based 2-D multichannel signal estimation," in Proceedings of IEEE Int. Conf. Image Processing, 2003. in press.
10. M. Lang, H. Guo, J. Odegard, C. Burrus, and R. Wells, "Noise reduction using an undecimated discrete wavelet transform," IEEE Signal Processing Letters 3, pp. 10-12, January 1996.
11. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding, Prentice Hall, Upper Saddle River, 1995.
12. S. G. Mallat, "A theory for multiresolutional signal decomposition: The wavelet representation," IEEE Transactions on Pattern Analysis and Machine Intelligence 11, pp. 674-693, July 1989.
13. M. N. Do and M. Vetterli, "Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance," IEEE Transactions on Image Processing 11, pp. 146-158, February 2002.
14. H. Stark and J. Woods, Probability and Random Processes with Applications to Signal Processing, Prentice Hall, Upper Saddle River, 3rd ed., 2002.
15. J. W. Brewer, "Kronecker products and matrix calculus in system theory," IEEE Transactions on Circuits and Systems CAS-25, pp. 772-781, September 1978.