Characterization of B-spline digital filters

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 51, Issue 4, 2004, Pages 808-816

  Samadi, Saed ^a   Ahmad, M Omair ^a   Swamy, M N S ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

B spline interpolation; B spline signal processing; Bernstein polynomials; Digital filters; Eulerain numbers; Eulerain polynomials; Finite impulse response (FIR) filters; Fractional delay; Recurrence relations; Stability

Indexed keywords

FIR FILTERS; INTERPOLATION; POLYNOMIALS; Z TRANSFORMS;

B-SPLINE DIGITAL FILTER; B-SPLINE INTERPOLATION; BERNSTEIN POLYNOMIAL; EULERAIN NUMBER; EULERAIN POLYNOMIAL; FRACTIONAL DELAY;

DIGITAL FILTERS;

EID: 2542525523     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.826211     Document Type: Article

References (17)

1. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing - Part I: Theory," IEEE Trans. Signal Processing, vol. 41, pp. 821-833, Feb. 1993.
2. M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Processing Mag., vol. 16, pp. 22-38, June 1999.
3. R. Panda and B. N. Chatterji, "Least squares generalized B-Spline signal and image processing," Signal Processing, vol. 81, pp. 2005-2017, 2001.
4. H. Olkkonen, "Discrete binomial splines," Graph. Models Image Processing, vol. 57, pp. 101-106, 1995.
5. K. F. Ustuner and L. A. Ferrari, "Discrete splines and spline filters," IEEE Trans. Circuits Syst. II, vol. 39, pp. 417-422, July 1992.
6. K. Ichige and M. Kamada, "An approximation for discrete B-Splines in time domain," IEEE Signal Processing Lett., vol. 4, pp. 82-84, Mar. 1997.
7. A. Aldroubi, M. Unser, and M. Eden, "Cardinal spline filters: Stability and convergence to the ideal sinc interpolator," Signal Processing, vol. 28, no. 2, pp. 127-138, 1992.
8. I. J. Schoenberg, "Cardinal spline interpolation," in CBMS-NSF Regional Conference Series Applied Mathematics 12. Philadelphia, PA: SIAM, 1973.
9. B. Vrcej and P. P. Vaidyanathan, "Efficient implementation of all-digital interpolation," IEEE Trans. Image Processing, vol. 10, pp. 1639-1646, Nov. 2001.
10. E. Meijering, "A chronology of interpolation: From ancient astronomy to modern signal and image processing," Proc. IEEE, vol. 90, pp. 319-342, Mar. 2002.
11. N. Eriksen, H. Eriksson, and K. Eriksson, "Diagonal checker-jumping and Eulerian numbers for color-signed permutations," Electron. J. Combinatorics, vol. 7, no. 1, 2000.
12. R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics. Reading, MA: Addison-Wesley, 1989.
13. D. F. Tuttle, Network Synthesis. New York: Wiley, 1958.
14. J. E. Storer, Passive Network Synthesis. New York: McGraw-Hill, 1957.
15. G. G. Lorentz, Bernstein Polynomials, 2nd ed. New York: Chelsea, 1986.
16. G. T. Cargo and O. Shisha, "The Bernstein form of a polynomial," J. Res. Nat. Bur. Stand., vol. 70B, no. 1, pp. 79-81, 1966.
17. F. Müller, P. Brigger, K. Illgner, and M. Unser, "Multiresolution approximation using shifted splines," IEEE Trans. Signal Processing, vol. 46, pp. 2555-2558, Sept. 1998.