Design and multiplierless realization of maximally flat FIR digital Hilbert transformers

IEEE Transactions on Signal Processing

Volumn 47, Issue 7, 1999, Pages 1946-1953

  Samadi, Saed ^a   Igarashi, Yoshihito ^a   Iwakura, Hiroshi ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRIC NETWORK SYNTHESIS; LINEAR EQUATIONS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; SIGNAL PROCESSING; SYSTOLIC ARRAYS; TRANSFER FUNCTIONS;

HILBERT TRANSFORMER; MAXIMALLY FLAT MAGNITUDE FILTERS; MULTIPLIERLESS REALIZATION;

FIR FILTERS;

EID: 0032671280     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.771043     Document Type: Article

References (18)

1. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
2. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
3. B. Gold, A. V. Oppenheim, and C. M. Rader, "Theory and implementation of the discrete Hilbert transform," in Proc. Symp. Comput. Process. Commun. 19, pp. 235-250, 1970.
4. S. K. Mitra and J. F. Kaiser, Handbook for Digital Signal Processing. New York: Wiley, 1993.
5. R. Rabiner and R. W. Shafer, "On the behavior of minimax FIR digital Hilbert transformers," Bell Syst. Tech. J., vol. 53, no. 2, pp. 363-390, 1974.
6. S. C. Pei and J. J. Shu, "Design of FIR Hilbert transformers and differentiators by eigen filter," IEEE Trans. Circuits Syst., vol. 35, pp. 1457-1461, 1988.
7. J. W. Adams and G. W. Mediin, "Comments on 'design of FIR Hilbert transformers and differentiators by eigenfilter,'" IEEE Trans. Circuits Syst., vol. 36, pp. 1255-1256, 1989.
8. S. Sunder and V. Ramachandran, "Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique," IEEE Trans. Signal Processing, vol. 42, pp. 2504-2509, 1994.
9. B. Kumar and S. C. Dutta Roy, "Design of efficient FIR digital differentiator and Hilbert transformers for midband frequency ranges," Int. J. Circuit Theor. Appl., vol. 17, pp. 483-488, 1989.
10. T. Cooklev and A. Nishihara, "Maximally flat FIR Hilbert transformers," Int. J. Circuit Theor. Appl., vol. 21, pp. 563-570, 1993.
11. S.-C. Pei and J.-J. Shyu, "Relationships among digital one/half band filters, low/high order differentiators, and discrete/differentiating Hilbert transformers," IEEE Trans. Signal Processing, vol. 40, pp. 694-699, 1992.
12. H. W. Schüβler and P. Steffen, "Half-band filters and Hilbert transformers," Circuits Syst. Signal Processing, vol. 17, pp. 137-164, 1998.
13. L. R. Rajagopal and S. C. Dutta Roy, "Design of maximally-flat FIR filters using the Bernstein polynomial," IEEE Trans. Circuits Syst., vol. CAS-34, pp. 1587-1590, Dec. 1987.
14. G. Farin, Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide. Boston, MA: Academic, 1993.
15. R. N. Goldman, "Recursive triangles," NATO Adv. Sci. Inst. Ser. C: Phys. Sci., vol. 307, pp. 27-71, 1990.
16. S. Samadi, T. Cooklev, A. Nishihara, and N. Fujii, "Multiplierless structure for maximally flat linear phase FIR digital filters," Electron. Lett., vol. 29, no. 2, pp. 184-185, 1993.
17. S. Samadi, A. Nishihara, and N. Fujii, "Parallel and modular structures for FIR digital filters," IEICE Trans. Fundamentals, vol. E-77A, pp. 467-474, 1994.
18. A. Regalia, K. Mitra, and J. Fadavi-Ardekani, "Implementation of real coefficient digital filters using complex arithmetic," IEEE Trans. Circuits Syst., vol. CAS-34, pp. 345-353, 1987.