Fractional delay filter based on the B-spline transform

IEEE Signal Processing Letters

Volumn 14, Issue 2, 2007, Pages 97-100

  Olkkonen, Juuso T ^a   Olkkonen, Hannu ^b  

^a VTT TECHNICAL RESEARCH CENTRE OF FINLAND   (Finland)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

B splines; Fractional delay filters (FDFs); VLSI

Indexed keywords

DELAY CIRCUITS; ELECTRIC FILTERS; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS; MICROPROCESSOR CHIPS; VLSI CIRCUITS;

B-SPLINE TRANSFORM; DECIMATION; FRACTIONAL DELAY FILTER;

SIGNAL PROCESSING;

EID: 33847639714     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2006.882103     Document Type: Article

References (18)

1. T. Laakso, V. Valimaki, M. Karjalainen, and U. K. Laine, "Splitting the unit delay [FIR/all pass filters design]," IEEE Signal Process. Mag., vol. 13, no. 1, pp. 30-80, Jan. 1996.
2. S. C. Pei and C. C. Tseng, "An efficient design of a variable fractional delay filter using a first-order differentiator," IEEE Signal Process. Lett., vol. 10, no. 10, pp. 307-310, Oct. 2003.
3. S. C. Pei and P. H. Wang, "Closed-form design of all-pass fractional delay," IEEE Signal Process. Lett., vol. 11, no. 10, pp. 788-791, Oct. 2004.
4. H. Johansson and P. Lowenborg, "Reconstruction of nonuniformy sampled bandlimited signals by means of digital fractional delay filters," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2757-2767, Nov. 2002.
5. C. C. Tseng, "Digital integrator design using Simpson rule and fractional delay filter," Proc. Inst. Elect. Eng., Vis., Image, Signal Process., vol. 153, no. 1, pp. 79-85, Feb. 2006.
6. C. C. Tseng, "Digital differentiator design using fractional delay filter and limit computation," IEEE Trans. Circuits Syst. I, vol. 52, no. 10, pp. 2248-2259, Oct. 2005.
7. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing. I. Theory," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 821-833, Feb. 1993.
8. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing. II. Efficiency design and applications," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 834-848, Feb. 1993.
9. 2," SIAM J. Math. Anal., vol. 25, pp. 1412-1432, 1994.
10. T. J. Lim and M. D. Macleod, "On-line interpolation using spline functions," IEEE Signal Process. Lett., vol. 3, no. 5, pp. 144-146, May 1996.
11. S. Samadi, M. O. Ahmad, and M. N. S. Swamy, "Characterization of B-spline digital filters," IEEE Trans. Circuits Syst.-I: Reg. Papers, vol. 51, no. 4, pp. 808-816, Apr. 2004.
12. S. Cucchi, F. Desinan, G. Parladori, and G. Sicuranza, "DSP implementation of arbitrary sampling frequency conversion for high quality sound application," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing, Apr. 14-17, 1991, vol. 5, pp. 3609-3612.
13. K. Egiazarian, T. Saramaki, H. Chugurian, and J. Astola, "Modified B-spline interpolators and filters: Synthesis and efficient implementation," in Proc. Int. Conf. Acoustics, Speech, Signal Processing, May 7-10, 1996, vol. 3, pp. 1743-1746.
14. M. Unser, A. Aldroubi, and M. Eden, "Polynomial spline approximations: Filter design and asymptotic equivalence with Shannon's sampling theorem," IEEE Trans. Inf. Theory, vol. 38, no. 1, pp. 95-103, Jan. 1992.
15. I. J. Schoenberg, "Contribution to the problem of approximation of equidistant data by analytic functions," Quart. Appl. Math., vol. 4, pp. 45-99, and pp. 112-141, 1946.
16. R. G. Kay, "Cubic convolution interpolation for digital image processing," IEEE Trans. Acoust., Speech, Signal Process., vol. 29, no. 6, pp. 1153-1160, Dec. 1981.
17. H. Olkkonen, J. T. Olkkonen, and P. Pesola, "Efficient lifting wavelet transform for microprocessor and VLSI applications," IEEE Signal Process. Lett., vol. 12, no. 2, pp. 120-122, Feb. 2005.
18. I. W. Selesnick, "The design of approximate Hilbert transform pairs of wavelet bases," IEEE Trans. Signal Process., vol. 50, no. 5, pp. 1144-1152, May 2002.