Publications

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Journal papers

  1. I. Bayram and I. W. Selesnick. Overcomplete Discrete Wavelet Transforms with Rational Scaling Factors. Preprint, January 2008.
  2. I. W. Selesnick. Wavelets, a modern tool for signal processing. Physics Today. 60(10):78-79, October 2007. Expanded version.
  3. I. Bayram and I. W. Selesnick. On the Dual-Tree Complex Wavelet Packet and M -Band Transforms. IEEE Trans. on Signal Processing, accepted, October 2007. Software (zip file).
  4. I. W. Selesnick. The Estimation of Laplace Random Vectors in AWGN and the Generalized Incomplete Gamma Function. Preprint, March 2007.
  5. I. W. Selesnick. A higher-density discrete wavelet transform. IEEE Trans. on Signal Processing, 54(8):3039-3048, August 2006.
  6. I. W. Selesnick, R. G. Baraniuk, and N. Kingsbury. The dual-tree complex wavelet transform - A coherent framework for multiscale signal and image processing. IEEE Signal Processing Magazine, 22(6):123-151, November 2005.
  7. A. F. Abdelnour and I. W. Selesnick. Symmetric nearly shift-invariant tight frame wavelets. IEEE Trans. on Signal Processing, 53(1):231-239, January 2005.
  8. A. F. Abdelnour and I. W. Selesnick. Symmetric nearly orthogonal and orthgonal nearly symmetric wavelets. The Arabian Journal for Science and Engineering, vol. 29, num. 2C, pp:3-16, December 2004.
  9. I. W. Selesnick and A. F Abdelnour. Symmetric wavelet tight frames with two generators. Applied and Computational Harmonic Analysis, 17(2):211-225, 2004. Includes MATLAB software toolbox.
  10. I. W. Selesnick. The double-density dual-tree DWT. IEEE Trans. on Signal Processing, 52(5):1304-1314, May 2004.
  11. J. Lebrun and I. Selesnick. Grobner bases and wavelet design. Journal of Symbolic Computing, 37(2):227-259, February, 2004. (Invited paper in special issue on Computer Algebra and Signal Processing).
  12. F. C. Fernandes, I. W. Selesnick, R. L. C. van Spaendonck, and C. S. Burrus. Complex wavelet transforms with allpass filters . Signal Processing, 83(5):1689-1706, 2003.
  13. L. Sendur and I. W. Selesnick. Bivariate shrinkage with local variance estimation. IEEE Signal Processing Letters, 9(12):438-441, December 2002.
  14. L. Sendur and I. W. Selesnick. Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency. IEEE Trans. on Signal Processing. 50(11):2744-2756, November 2002.
  15. I. W. Selesnick. Maximally flat lowpass digital differentiators. IEEE Trans. on Circuits and Systems II. 49(3):219-223, March 2002.
  16. D. Czarkowski, D. Chudnovsky, G. Chudnovsky, and I. W. Selesnick. Solving the optimal PWM problem for single-phase inverters. IEEE Trans. on Circuits and Systems II, 49(4):465-475, April, 2002.
  17. I. W. Selesnick. The design of approximate Hilbert transform pairs of wavelet bases. IEEE Trans. on Signal Processing, 50(5):1144-1152, May 2002.
  18. I. W. Selesnick. Hilbert transform pairs of wavelet bases. IEEE Signal Processing Letters, 8(6):170-173, June 2001.
  19. I. W. Selesnick. Smooth wavelet tight frames with zero moments. Applied and Computational Harmonic Analysis, 10(2):163-181, March 2001.
  20. I. W. Selesnick. Balanced multiwavelet bases based on symmetric FIR filters. IEEE Trans. on Signal Processing, 48(1):184-191, January 2000.
  21. I. W. Selesnick. Interpolating multiwavelet bases and the sampling theorem. IEEE Trans. on Signal Processing, 47(6):1615-1621, June 1999.
  22. I. W. Selesnick. The Slantlet transform. IEEE Trans. on Signal Processing, 47(5):1304-1313, May 1999.
  23. I. W. Selesnick. Balanced GHM-like multiscaling functions. IEEE Signal Processing Letters, 6(5):111-112, May 1999.
  24. I. W. Selesnick. Low-pass filters realizable as all-pass sums: design via a new flat delay filter. IEEE Trans. on Circuits and Systems II, 46(1):40-50, January 1999.
  25. I. W. Selesnick. Multiwavelet bases with extra approximation properties. IEEE Trans. on Signal Processing, 46(11):2998-12909, November 1998.
  26. I. W. Selesnick, M. Lang, and C. S. Burrus. A modified algorithm for constrained least square design of multiband FIR filters without specified transition bands. IEEE Trans. on Signal Processing, 46(2):497-501, February 1998.
  27. I. W. Selesnick and C. S. Burrus. Generalized digital Butterworth filter design. IEEE Trans. on Signal Processing, 46(6):1688-1694, June 1998.
  28. I. W. Selesnick. Explicit formulas for orthogonal IIR wavelets. IEEE Trans. on Signal Processing, 46(4):1138-1141, April 1998.
  29. I. W. Selesnick and C. S. Burrus. Maximally flat low-pass FIR filters with reduced delay. IEEE Trans. on Circuits and Systems II, 45(1):53-68, January 1998.
  30. I. W. Selesnick and C. S. Burrus. Exchange algorithms that complement the Parks-McClellan algorithm for linear phase FIR filter design. IEEE Trans. on Circuits and Systems II, 44(2):137-142, February 1997.
  31. I. W. Selesnick, M. Lang, and C. S. Burrus. Constrained least square design of FIR filters without specified transition bands. IEEE Trans. on Signal Processing, 44(8):1879-1892, August 1996.
  32. M. Lang, I. W. Selesnick, and C. S. Burrus. Constrained least square design of 2D FIR filters. IEEE Trans. on Signal Processing, 44(5):1234-1241, May 1996.
  33. I. W. Selesnick and C. S. Burrus. Automatic generation of prime length FFT programs. IEEE Trans. on Signal Processing, 44(1):14-24, January 1996.
  34. C. S. Burrus, J. A. Barreto, and I. W. Selesnick. Iterative reweighted least-squares design of FIR filters. IEEE Trans. on Signal Processing, 42:2926-2936, November 1994.

Book contributions

  1. I. W. Selesnick. The Double Density DWT. In A. Petrosian and F. G. Meyer, editors, Wavelets in Signal and Image Analysis: From Theory to Practice. Kluwer, 2001.
  2. I. W. Selesnick and G. Schuller. The Discrete Fourier Transform. In K. R. Rao and P. Yip, editors, The Transform and Data Compression Handbook. CRC Press, Boca Raton. 2000.
  3. I. W. Selesnick and C. S. Burrus. Design of FIR digital filters. In V. K. Madessetti and D. B. Williams, editors, The Digital Signal Processing Handbook. CRC Press, Boca Raton, 1997.
  4. I. W. Selesnick and C. S. Burrus. Fast convolution and filtering. In V. K. Madessetti and D. B. Williams, editors, The Digital Signal Processing Handbook. CRC Press, Boca Raton, 1997.