Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 936958, 14 pages
http://dx.doi.org/10.1155/2015/936958
Research Article

Minimum Phase Property of Chebyshev-Sharpened Cosine Filters

1Department of Electronics, INAOE, 72840 Tonantzintla, PUE, Mexico
2Cátedras-CONACYT, ESCOM-IPN, 07738 Mexico City, DF, Mexico

Received 27 May 2014; Accepted 12 January 2015

Academic Editor: Changchun Hua

Copyright © 2015 Miriam Guadalupe Cruz Jiménez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, Prentice Hall International, Upper Saddle River, NJ, USA, 1989.
  2. E. Hänsler and G. Schmidt, Speech and Audio Processing in Adverse Environments, Springer, 2008.
  3. Y. Wang and J. Reiss, “Time domain performance of decimation filter architectures for high resolution sigma delta analogue to digital conversion,” in Proceedings of the 132nd Audio Engineering Society Convention, pp. 294–305, Budapest, Hungary, April 2012. View at Scopus
  4. B. Du, X. Xu, and X. Dai, “Minimum-phase fir precoder design for multicasting over MIMO frequency-selective channels,” Journal of Electronics, vol. 30, no. 4, pp. 319–327, 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. L. Aksoy, P. Flores, and J. Monteiro, “A tutorial on multiplierless design of FIR filters: algorithms and architectures,” Circuits, Systems, and Signal Processing, vol. 33, no. 6, pp. 1689–1719, 2014. View at Publisher · View at Google Scholar
  6. G. J. Dolecek and V. Dolecek, “Application of Rouche's theorem for MP filter design,” Applied Mathematics and Computation, vol. 211, no. 2, pp. 329–335, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. J. F. Kaiser and R. W. Hamming, “Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 25, no. 5, pp. 415–422, 1977. View at Publisher · View at Google Scholar · View at Scopus
  8. J. O. Coleman, “Chebyshev stopbands for CIC decimation filters and CIC-implemented array tapers in 1D and 2D,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 59, no. 12, pp. 2956–2968, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. M. O. Rayes, V. Trevisan, and P. S. Wang, “Factorization properties of Chebyshev polynomials,” Computers & Mathematics with Applications, vol. 50, no. 8-9, pp. 1231–1240, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. H. J. Oh and Y. H. Lee, “Design of discrete coefficient FIR and IIR digital filters with prefilter-equalizer structure using linear programming,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol. 47, no. 6, pp. 562–565, 2000. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Fernandez-Vazquez and G. J. Dolecek, “Passband and stopband CIC improvement based on efficient IIR filter structure,” in Proceedings of the 53rd IEEE International Midwest Symposium on Circuits and Systems (MWSCAS '10), pp. 765–768, August 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. T. Saramaki, “Finite impulse response filter design,” in Handbook for Digital Signal Processing, S. K. Mitra and J. F. Kaiser, Eds., pp. 155–277, John Wiley & Sons, New York, NY, USA, 1993. View at Google Scholar
  13. D. E. T. Romero and G. J. Dolecek, “Application of amplitude transformation for compensation of comb decimation filters,” Electronics Letters, vol. 49, no. 16, pp. 985–987, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. G. J. Dolecek and A. Fernandez-Vazquez, “Trigonometrical approach to design a simple wideband comb compensator,” International Journal of Electronics and Communications, vol. 68, no. 5, pp. 437–441, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. S.-C. Pei and S.-T. Lu, “Design of minimum-phase FIR filters by differential cepstrum,” IEEE Transactions on Circuits and Systems, vol. 33, no. 5, pp. 570–576, 1986. View at Publisher · View at Google Scholar · View at Scopus
  16. H. H. Dam, S. Nordebo, and L. Svensson, “Design of minimum-phase digital filters as the sum of two allpass functions using the cepstrum technique,” IEEE Transactions on Signal Processing, vol. 51, no. 3, pp. 726–731, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. S.-C. Pei and H.-S. Lin, “Minimum-phase FIR filter design using real cepstrum,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 53, no. 10, pp. 1113–1117, 2006. View at Publisher · View at Google Scholar · View at Scopus
  18. O. Herrmann and H. W. Schüessler, “Design of nonrecursive digital filters with minimum-phase,” Electronics Letters, vol. 6, no. 11, pp. 329–330, 1970. View at Publisher · View at Google Scholar · View at Scopus
  19. I. Kale, G. D. Cain, and R. C. S. Morling, “Minimum-phase filter design from linear-phase startpoint via balanced model truncation,” IET Electronic Letters, vol. 31, no. 20, pp. 1728–1729, 1995. View at Publisher · View at Google Scholar · View at Scopus
  20. T. Stathaki and I. Fotinopoulos, “Equiripple minimum phase FIR filter design from linear phase systems using root moments,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol. 48, no. 6, pp. 580–587, 2001. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Okuda, I. R. Khan, M. Ikehara, and S. Takahashi, “Quasi-equiripple approximation of minimum phase FIR filters by updating desired response,” IEE Proceedings: Vision, Image and Signal Processing, vol. 151, no. 3, pp. 164–169, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. M. Okuda, M. Ikehara, and S.-I. Takahashi, “Design of equiripple minimum phase FIR filters with ripple ratio control,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. 89, no. 3, pp. 751–756, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. E. B. Hogenauer, “An economical class of digital filters for decimation and interpolation,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 29, no. 2, pp. 155–162, 1981. View at Publisher · View at Google Scholar · View at Scopus