Noise reduction using an undecimated discrete wavelet transform

IEEE Signal Processing Letters

Volumn 3, Issue 1, 1996, Pages 10-12

  Lang, M ^a,d   Guo, H ^b,d   Odegard, J E ^b,d   Burrus, C S ^b,d   Wells Jr , R O ^c  

^a UNIVERSITY OF BREMEN   (Germany)

^b Rice University   (United States)

^c RICE UNIVERSITY   (United States)

^d IEEE

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; VECTORS; WAVELET TRANSFORMS; WHITE NOISE;

CLASSICAL WAVELET DENOISING ALGORITHMS; DISCRETE WAVELET TRANSFORM; MEAN SQUARE ERROR; NOISE REDUCTION; UNDECIMATED WAVELET DENOISING ALGORITHMS;

SIGNAL PROCESSING;

EID: 0029777592     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.475823     Document Type: Article

References (11)

1. G. Beylkin, "On the representation of operators in bases of compactly supported wavelets,"SIAM J. Numer. Anal., vol. 29, no. 6, pp. 1716-1740, 1992.
2. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992. Notes from the 1990 CBMS-NSF Conf. Wavelets Applications, Lowell, MA, USA.
3. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992. Notes from the 1990 CBMS-NSF Conf. Wavelets Applications, Lowell, MA, USA.
4. D. L. Donoho, "De-noising by soft-thresholding,"IEEE Trans. Inform. Theory, vol. 41, no. 3, pp. 613-627, May 1995.
5. D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation via wavelet shrinkage,"Biometrika, vol. 81, pp. 425-455, 1994.
6. D. L. Donoho, I. M. Johnstone, G. Kerkyacharian, and D. Picard, "Wavelet shrinkage: Asymptopia?,"J. Royal Statist. Soc. B., vol. 57, no. 2, pp. 301-337, 1995.
7. H. Guo, "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transform,"Master's thesis, Rice Univ., Houston, TX, USA, May 1995.
8. M. Lang, H. Guo, J. E. Odegard, C. S. Burrus, and R. O. Wells, Jr., "Nonlinear processing of a shift-invariant DWT for noise reduction," in Proc. SPIE Conf. Wavelet Applications, vol. 2491, Orlando, FL, Apr. 1995.
9. S. Mallat, "Zero-crossings of a wavelet transform,"IEEE Trans. Inform. Theory, vol. 37, no. 4, July 1991.
10. G. P. Nason and B. W. Silverman, "Stationary wavelet transform and some statistical applications," Tech. Rep., Dept of Math., Univ. of Bristol, Bristol, UK, Feb. 1995.
11. J. C. Pesquet, H. Krim, and H. Carfantan, "Time invariant orthonormal wavelet representations," IEEE Trans. Signal Processing, to appear.