Closed-form design of maximally flat IIR half-band filters

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 49, Issue 6, 2002, Pages 409-417

  Zhang, Xi ^a,b   Amaratunga, Kevin ^c  

^a IEEE   (Japan)

^b NAGAOKA UNIVERSITY OF TECHNOLOGY   (Japan)

^c Massachusetts Institute of Technology   (United States)

Author keywords

Closed form solution; Half band filter; Infinite impulse response (IIR) digital filter; Maximally flat response

Indexed keywords

CLOSED-FORM DESIGN; HALF-BAND FILTERS;

IMAGE PROCESSING; LINEAR SYSTEMS; SIGNAL PROCESSING; TRANSFER FUNCTIONS;

IIR FILTERS;

EID: 0036624551     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSII.2002.803469     Document Type: Article

References (23)

1. A. Antoniou, Digital Filters: Analysis, Design and Applications. New York: McGraw-Hill, 1993.
2. S. K. Mitra and J. F. Kaiser, Handbook for Digital Signal Processing. New York: Wiley, 1993.
3. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
4. G. Strang and T. Nguyen, Wavelets and Filter Banks. Cambridge, MA: Wellesley-Cambridge, 1996.
5. B. A. Shenoi, Magnitude and Delay Approximation of 1-D and 2-D Digital Filters. Berlin, Germany: Springer-Verlag, 1999.
6. O. Herrmann, "On the approximation problem in nonrecursive digital filter design," IEEE Trans. Circuits Theory, vol. 18, pp. 411-413, May 1971.
7. F. Mintzer, "On half-band, third-band and Nth band FIR filters and their design," IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-30, pp. 734-738, Oct. 1982.
8. P. P. Vaidyanathan and T. Q. Nguyen, "A "trick" for the design of FIR half-band filters," IEEE Trans. Circuits Syst. II, vol. CAS-34, pp. 297-300, Mar. 1987.
9. M. Vetterli and C. Herley, "Wavelets and filter banks: Theory and design," IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
10. S. M. Phoong, C. W. Kim, P. P. Vaidyanathan, and R. Ansari, "A new class of two channel biorthogonal filter banks and wavelet bases," IEEE Trans. Signal Processing, vol. 43, pp. 649-665, Mar. 1995.
11. T. I. Laakso, V. Valimaki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay," IEEE Signal Processing Mag., vol. 13, pp. 30-60, Jan. 1996.
12. I. W. Selesnick, "Formulas for orthogonal IIR wavelet filters," IEEE Trans. Signal Processing, vol. 46, pp. 1138-1141, Apr. 1998.
13. I. W. Selesnick and C. S. Burrus, "Generalized digital Butterworth filter design," IEEE Trans. Signal Processing, vol. 46, pp. 1688-1694, June 1998.
14. X. Zhang and H. Iwakura, "Design of IIR digital all-pass filters based on eigenvalue problem," IEEE Trans. Signal Processing, vol. 47, pp. 554-559, Feb. 1999.
15. S. Samadi, A. Nishihara, and H. Iwakura, "Generalized half-band maximally flat FIR filters," in Proc. ISCAS, vol. III, May 1999, pp. 279-282.
16. X. Zhang and T. Yoshikawa, "Design of FIR Nyquist filters with low group delay," IEEE Trans. Signal Processing, vol. 47, pp. 1454-1458, May 1999.
17. Y. Wisutmethangoon and T. Q. Nguyen, "A method for design of M th band filters," IEEE Trans. Signal Processing, vol. 47, pp. 1669-1678, June 1999.
18. S. Samadi, H. Iwakura, and A. Nishihara, "Multiplierless and hierarchical structures for maximally flat half-band FIR filters," IEEE Trans. Circuits Syst. II, vol. 46, pp. 1225-1230, Sept. 1999.
19. X. Zhang, K. Inotsume, and T. Yoshikawa, "Design of low delay FIR half-band filters with arbitrary flatness and its application to filter banks," IEICE Trans. Commun., vol. J82-A, no. 10, pp. 1529-1537, Oct. 1999.
20. S. C. Pei and P. H. Wang, "Closed-form design and efficient implementation of generalized maximally flat half-band FIR filters," IEEE Signal Processing Lett., vol. 7, pp. 149-151, June 2000.
21. S. Samadi, A. Nishihara, and H. Iwakura, "Universal maximally flat lowpass FIR systems," IEEE Trans. Signal Processing, vol. 48, pp. 1956-1963, July 2000.
22. H. Schuessler and P. Steffan, "Recursive halfband filters," Int. J. Electron. Commun. (AEU), vol. 55, no. 6, pp. 1-12, 2001.
23. A. D. Poularikas, The Handbook of Formulas and Tables for Signal Processing. Boca Raton, FL: CRC, 1999.