The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform

David B. H. Tay - One of the best experts on this subject based on the ideXlab platform.

  • ETHFB: A New Class of Even-Length Biorthogonal Wavelet Filters for Hilbert Pair Design
    IEEE Transactions on Circuits and Systems I: Regular Papers, 2008
    Co-Authors: David B. H. Tay
    Abstract:

    A new class of biorthogonal Filter banks, called the even-triplet-halfband-Filter-bank (ETHFB), is introduced here. The Filters are of even Length and have linear phase response. There are two versions of the ETHFB, and they are modifications of the (odd-Length) triplet-halfband-Filter-bank. The parametric Bernstein polynomial is utilized in the construction of the three kernels that define the ETHFB. These Filters will be used to match a given odd-Length Filter bank such that the equivalent wavelet functions of both Filter banks are approximate Hilbert transform of each other, i.e., a Hilbert pair. The determination of the design parameters of the Filter bank is achieved through an efficient least-squares method.

  • ICASSP (2) - Design of approximate Hilbert transform pair of wavelets with exact symmetry [Filter bank design]
    2004 IEEE International Conference on Acoustics Speech and Signal Processing, 1
    Co-Authors: David B. H. Tay, Marimuthu Palaniswami
    Abstract:

    This paper presents a new technique for designing pairs of Filter banks whose corresponding wavelet functions are approximate Hilbert transforms of each other. The Filters have exact linear phase which yields biorthogonal wavelets with exact symmetry. The technique is based on matching the frequency response of a given odd-Length Filter bank with an even-Length Filter bank. The class of EBFB (even-Length Bernstein Filter bank) is utilized in the matching design. The EBFB has perfect reconstruction and vanishing moments properties structurally imposed and this simplifies the design process. The design is achieved through a non-iterative least squares method.

  • ISCAS (3) - Hilbert pair of wavelets via the matching design technique [matched Filters]
    2005 IEEE International Symposium on Circuits and Systems, 1
    Co-Authors: David B. H. Tay, Marimuthu Palaniswami
    Abstract:

    A Hilbert pair is defined as a pair of wavelet functions that are approximate Hilbert transform of each other. This paper presents the design of the corresponding pair of Filter banks that defines (generate) these wavelets. The Filters have exact linear phase which yields biorthogonal wavelets with exact symmetry. The technique is based on matching a given even-Length Filter bank with an odd-Length Filter bank. The class of THFB (triplet halfband Filter bank) is utilized in the matching design. The parameteric Bernstein is used for the construction of the three kernels that define the THFB and the perfect reconstruction and vanishing moments properties are structurally imposed. A least-least squares formulation of the design problem is used and this yields good results.

  • ISCAS - ETHFB: a new class of even-Length wavelet Filters for Hilbert pair design
    2006 IEEE International Symposium on Circuits and Systems, 1
    Co-Authors: David B. H. Tay
    Abstract:

    A new class of biorthogonal Filter banks, called the even-triplet-halfband-Filter-bank (ETHFB), is introduced here. The Filters have even-Length, and are used to match a given odd-Length Filter bank such that the equivalent wavelet functions of both Filter banks are approximate Hilbert transform of each other, ie. Hilbert pair. There are two versions of the ETHFB and they are modifications of the (odd-Length) triplet-halfband-Filter-bank. The parametric Bernstein polynomial is utilized in the construction of the three kernels that define the ETHFB. The determination of the design parameters of the Filter bank is achieved through an efficient least squares method.

Kwok-ping Chan - One of the best experts on this subject based on the ideXlab platform.

  • Symmetric extension methods for M-channel linear-phase perfect-reconstruction Filter banks
    IEEE Transactions on Signal Processing, 1995
    Co-Authors: L. Chen, Truong Q. Nguyen, Kwok-ping Chan
    Abstract:

    The symmetric extension method has been shown to he an efficient way for subband processing of finite-Length sequences. This paper presents an extension of this method to general linear-phase perfect-reconstruction Filter banks. We derive constraints on the Length and symmetry polarity of the permissible Filter banks and propose a new design algorithm. In the algorithm, different symmetric sequences are formulated in a unified form based on the circular-symmetry framework. The Length constraints in symmetrically extending the input sequence and windowing the subband sequences are investigated. The effect of shifting the input sequence is included. When the algorithm is applied to equal-Length Filter banks, we explicitly show that symmetric extension methods can always be constructed to replace the circular convolution approach.

Marimuthu Palaniswami - One of the best experts on this subject based on the ideXlab platform.

  • ICASSP (2) - Design of approximate Hilbert transform pair of wavelets with exact symmetry [Filter bank design]
    2004 IEEE International Conference on Acoustics Speech and Signal Processing, 1
    Co-Authors: David B. H. Tay, Marimuthu Palaniswami
    Abstract:

    This paper presents a new technique for designing pairs of Filter banks whose corresponding wavelet functions are approximate Hilbert transforms of each other. The Filters have exact linear phase which yields biorthogonal wavelets with exact symmetry. The technique is based on matching the frequency response of a given odd-Length Filter bank with an even-Length Filter bank. The class of EBFB (even-Length Bernstein Filter bank) is utilized in the matching design. The EBFB has perfect reconstruction and vanishing moments properties structurally imposed and this simplifies the design process. The design is achieved through a non-iterative least squares method.

  • ISCAS (3) - Hilbert pair of wavelets via the matching design technique [matched Filters]
    2005 IEEE International Symposium on Circuits and Systems, 1
    Co-Authors: David B. H. Tay, Marimuthu Palaniswami
    Abstract:

    A Hilbert pair is defined as a pair of wavelet functions that are approximate Hilbert transform of each other. This paper presents the design of the corresponding pair of Filter banks that defines (generate) these wavelets. The Filters have exact linear phase which yields biorthogonal wavelets with exact symmetry. The technique is based on matching a given even-Length Filter bank with an odd-Length Filter bank. The class of THFB (triplet halfband Filter bank) is utilized in the matching design. The parameteric Bernstein is used for the construction of the three kernels that define the THFB and the perfect reconstruction and vanishing moments properties are structurally imposed. A least-least squares formulation of the design problem is used and this yields good results.

A N Willson - One of the best experts on this subject based on the ideXlab platform.

  • lagrange multiplier approaches to the design of two channel perfect reconstruction linear phase fir Filter banks
    IEEE Transactions on Signal Processing, 1992
    Co-Authors: B R Horng, A N Willson
    Abstract:

    The authors present two approaches to the design of two-channel perfect-reconstruction linear-phase finite-impulse-response (FIR) Filter banks. Both approaches analyze and design the impulse responses of the analysis Filter bank directly. The synthesis Filter bank is then obtained by simply changing the signs of odd-order coefficients in the analysis Filter bank. The approach deals with unequal-Length Filter banks. By designing the lower Length Filters first, one can take advantage of the fact that the number of variables for designing the higher Length Filters is more than the number of perfect-reconstruction constraint equations. The second approach generalizes the first, and covers the design for all parts of linear phase perfect reconstruction constraint equations. >

L. Chen - One of the best experts on this subject based on the ideXlab platform.

  • Symmetric extension methods for M-channel linear-phase perfect-reconstruction Filter banks
    IEEE Transactions on Signal Processing, 1995
    Co-Authors: L. Chen, Truong Q. Nguyen, Kwok-ping Chan
    Abstract:

    The symmetric extension method has been shown to he an efficient way for subband processing of finite-Length sequences. This paper presents an extension of this method to general linear-phase perfect-reconstruction Filter banks. We derive constraints on the Length and symmetry polarity of the permissible Filter banks and propose a new design algorithm. In the algorithm, different symmetric sequences are formulated in a unified form based on the circular-symmetry framework. The Length constraints in symmetrically extending the input sequence and windowing the subband sequences are investigated. The effect of shifting the input sequence is included. When the algorithm is applied to equal-Length Filter banks, we explicitly show that symmetric extension methods can always be constructed to replace the circular convolution approach.