Shift-invariant B-spline wavelet transform for multi-scale analysis of neuroelectric signals

IET Signal Processing

Volumn 4, Issue 6, 2010, Pages 603-609

  Olkkonen, H ^a   Olkkonen, J T ^b  

^a UNIVERSITY OF EASTERN FINLAND   (Finland)

^b VTT TECHNICAL RESEARCH CENTRE OF FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

B SPLINES; B-SPLINE WAVELET; INTERPOLATING PROPERTIES; MULTI SCALE ANALYSIS; POLY PHASE FILTERS; POLYPHASE DECOMPOSITION; QUADRATURE MIRROR FILTER; SHIFT INVARIANT; SIGNAL WAVEFORM; WAVELET THEORY;

FILTER BANKS; INTERPOLATION; SHIP PROPELLERS; STATISTICS; WAVELET ANALYSIS; WAVELET DECOMPOSITION;

SPLINES;

EID: 78649967741     PISSN: 17519675     EISSN: 17519683     Source Type: Journal    
DOI: 10.1049/iet-spr.2009.0109     Document Type: Article

References (22)

1. Daubechies, I.: 'Orthonormal bases of compactly supported wavelets', Commun. Pure Appl. Math., 1988, 41909-996
2. Smith, M.J.T., and Barnwell, T.P.: 'Exact reconstruction for tree-structured subband coders', IEEE Trans. Acoust. Speech Signal Process., 1986, 34434-4410096-3518
3. Sweldens, W.: 'The lifting scheme: a construction of second generation wavelets', SIAM J. Math. Anal., 1988, 29511-54610.1137/S0036141095289051 0036-1410
4. Olkkonen, H., Olkkonen, J.T., and Pesola, P.: 'Efficient lifting wavelet transform for microprocessor and VLSI applications', IEEE Signal Process. Lett., 2005, 12, (2)120-1221070-9908
5. ITU-T Recommend. T.800-ISO FCD15444-1: 'JPEG2000 image coding system' (International Organization for Standardization, ISO/IEC JTC1 SC29/WG1, 2000)
6. Unser, M., and Blu, T.: 'Mathematical properties of the JPEG2000 wavelet filters', IEEE Trans. Image Process., 2003, 121080-109010.1109/TIP.2003.812329 1057-7149
7. Unser, M., Aldroubi, A., and Eden, M.: 'B-spline signal processing. I. Theory', IEEE Trans. Signal Process., 1993, 41, (2)821-8331053-587X
8. Unser, M., Aldroubi, A., and Eden, M.: 'B-spline signal processing. II. Efficiency design and applications', IEEE Trans. Signal Process., 1993, 41, (2)834-8481053-587X
9. Aldroubi, A., Eden, M., and Unser, M.: 'Discrete B-spline filters for multiresolutions and wavelets of l2', SIAM J. Math. Anal., 1994, 251412-14320036-1410
10. Chui, C.K., and Wang, J.-Z.: 'On compactly supported spline wavelets and a duality principle', Trans. Am. Math. Soc., 1992, 330, (2)903-915
11. Schoenberg, I.J.: 'Contribution to the problem of approximation of equidistant data by analytic functions', Quart. Appl. Math., 1946, 445-99 112-141
12. Fernandes, F., Selesnick, I., van Spaendonck, R., and Burrus, C.: 'Complex wavelet transforms with allpass filters', Signal Process., 2003, 831689-167010.1016/S0165-1684(03)00077-X 0165-1684
13. Selesnick, I.W.: 'The design of approximate Hilbert transform pairs of wavelet bases', IEEE Trans. Signal Process., 2002, 50, (5)1144-115210.1109/78.995070 1053-587X
14. Olkkonen, H., Pesola, P., Olkkonen, J.T., and Zhou, H.: 'Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis', J. Neurosci. Methods, 2006, 151106-11310.1016/j.jneumeth.2005.06.028 0165-0270
15. Kingsbury, N.G.: 'Complex wavelets for shift invariant analysis and filtering of signals', J. Appl. Comput. Harmon. Anal., 2001, 10234-253
16. Lim, T.J., and Macleod, M.D.: 'On-line interpolation using spline functions', IEEE Signal Process. Lett., 1996, 3, (5)144-1461070-9908
17. Cucchi, S., Desinan, F., Parladori, G., and Sicuranza, G.: 'DSP implementation of arbitrary sampling frequency conversion for high quality sound application', Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, April 14-17 1991, 53609-3612
18. Samadi, S., Ahmad, M.O., and Swamy, M.N.S.: 'Characterization of B-spline digital filters', IEEE Trans. Circuits Syst. I, Regul. Pap., 2004, 51, (4)808-81610.1109/TCSI.2004.826211
19. Egiazarian, K., Saramaki, T., Chugurian, H., and Astola, J.: 'Modified B-spline interpolators and filters: synthesis and efficient implementation', Proc. Int. Conf. on Acoustics, Speech, and Signal Processing, May 7-10 1996, 31743-1746
20. Olkkonen, J.T., and Olkkonen, H.: 'Fractional delay filter based on the B-spline transform', IEEE Signal Process. Lett., 2007, 14, (2)97-10010.1109/LSP.2006.882103 1070-9908
21. Ichige, K., and Kamada, M.: 'An approximation of discrete B-splines in time domain', IEEE Signal Process. Lett., 1997, 4, (3)82-841070-9908
22. Olkkonen, J.T., and Olkkonen, H.: 'Fractional time-shift B-spline filter', IEEE Signal Process. Lett., 2007, 14, (10)688-6911070-9908