Open Access Open Access  Restricted Access Subscription or Fee Access

A Down Sampling Approach Technique for Design Hilbert-Pair of Wavelets

M. Ramaiah, M. Balasaraswathi

Abstract


 

To design the pair of conjugate Quadrature filter banks, whose corresponding wavelets are Hilbert transform of each other. The Transfer function of the CQF-(conjugate Quadrature filer) is having common factor and the phase factor. The phase factor is designed using Park-McClellan algorithm and down sampling approach with different frequencies specifications. The common factor is present in both filter banks. The phase factor with down sampling approach provides the sharper frequency response for CQF (Conjugate Quadrature filter). The sharper response filters provides the good Hilbert pair of wavelets, with desire properties of wavelets .The design of Hilbert pair of wavelets with same vanishing moments and same degree of phase factor with different frequency specification is analysed here.


Keywords


Conjugate Quadrature filter, Hilbert transform, Ortho-normal filter banks, Wavelets and Filter banks.

Full Text:

PDF

References


David B.H Tay „‟A new approach to common factor technique for Hilbert

pair of wavelets, IEEE signal processing letter, VOL. 17, NO. 11,

November 2010

I. W. Seles nick, “The design of approximate Hilbert transform pairs of

wavelet bases,” IEEE Trans. Signal Process. vol. 50, no. 5, pp.

–1152, May 2002.

I. W. Seles nick, “Hilbert transform pairs of wavelet bases,” IEEE, Signal

Process. Letts. vol. 8, no. 6, pp. 170–173, Jun. 2001.

D. B. H. Tay N. G. Kingsbury, and M. Palaniswami, “Ortho-normal

Hilbert pair of wavelets with (almost) maximum vanishing moments,”

IEEE Signal Process. Lett., vol. 13, no. 9, pp. 533–536, Sep. 2006

B.Dumitrescu, I. Bayram, and I.W.Selesnick, “Optimization of

symmetric Self-Hilbertian filters for the dual-tree filters complex wavelet

Transform,” IEEE Signal Process. Letts., vol. 15, pp. 146–149, 2008

I. W. Seles nick, R. G. Baraniuk, and N. G. Kingsbury, “The dual-tree

complex wavelet transform,” IEEE Signal Process. Mag., vol. 22, no. 6,

pp. 123–151, Nov. 2005

I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM1992

J. Wang and J.-Q. Zhang, “A globally optimal bilinear programming

approach to the design of approximate Hilbert pairs of Ortho-normal

wavelet bases,” IEEE Trans. Signal Process., vol. 58, no.1, pp.233–241,

Jan. 2010

B.Dumitrescu, SDP approximation of a fractional delay and the design of

dual-tree filter complex wavelet transform, IEEE Trans. Signal Process.,

vol. 56, no. 9, pp. 4255–4262, Sep. 2008

http://cas.ensmp.fr/~chaplais/Wavetour_presentation

http://ocw/mit.edu/courses.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.