Improved wavelet denoising via empirical wiener filtering

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3169, Issue , 1997, Pages 389-399

  Ghael, Sandeep P ^a   Sayeed, Akbar M ^a   Baraniuk, Richard G ^a  

^a Rice University   (United States)

Author keywords

Denoising; Estimation; Subspace; Wavelets; Wiener filter

Indexed keywords

ADAPTIVE FILTERING; APPLICATIONS; DIGITAL IMAGE STORAGE; IMAGE PROCESSING; IMAGING SYSTEMS; MEAN SQUARE ERROR; SIGNAL ANALYSIS; STRAIN ENERGY; WAVELET TRANSFORMS; WIRELESS TELECOMMUNICATION SYSTEMS;

ASYMPTOTICALLY OPTIMAL; BIAS AND VARIANCES; DENOISING; DO-MAINS; IMPROVED PERFORMANCES; MINIMAX; NEW ALGORITHMS; OPTIMAL PROCESSING; SIGNAL COMPRESSIONS; SIGNAL ESTIMATIONS; SIGNAL SUBSPACES; SIMULATION RESULTS; SQUARE ERRORS; SUBSPACE; THRESHOLDING; VISUAL QUALITIES; WAVELET BASIS; WAVELET DENOISING; WAVELET SHRINKAGES; WAVELETS; WIENER FILTER; WIENER FILTERING;

SHRINKAGE;

EID: 57649123263     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.292799     Document Type: Conference Paper

References (11)

1. D. L. Donoho, "Unconditional bases are optimal bases for data compression and for statistical estimation," App. Comp. Harmonic Anal. 1, pp. 100-115, Dec 1993.
2. I. Daubechies, Ten Lectures on Wavelets, SIAM, New York, 1992.
3. M. Vetterli and J. Kovačević, Wavelets and Subband Coding, Prentice-Hall, Englewood Cliffs, NJ, 1995.
4. D. L. Donoho and I. Johnstone, "Adapting to unknown smoothness via wavelet shrinkage," J. Amer. Stat. Assoc. 90, pp. 1200-1224, Dec. 1995.
5. D. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inform. Theory 41, pp. 613-627, May 1995.
6. H. V. Poor, An Introduction to Signal Detection and Estimation, Springer-Verlag, 1988.
7. R. D. Nowak, "Optimal signal estimation using cross-validation, " IEEE Signal Processing Letters 4, pp. 23-25, Jan. 1997.
8. J. E. Odegard. Personal communication.
9. M. Lang, H. Guo, J. E. Odegard, C. S. Burrus, and R. O. Wells, "Nonlinear processing of a shift invariant DWT for noise reduction," 1995. SPIE Symp. OE/Aerospace Sensing and Dual Use Photonics, Orlando, FL, 17-21 April 1995.
10. M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Hidden markov models for wavelet-based signal processing," in Proc. 30th Asilomar Conf., (Pacific Grove, CA), 1997.
11. M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Wavelet-based statistical signal processing using hidden markov models," IEEE Trans. Signal Processing , 1997. Submitted.