Linear Phase

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Truong Q. Nguyen - One of the best experts on this subject based on the ideXlab platform.

  • Complex-valued Linear-Phase paraunitary filter banks
    Electronics Letters, 2000
    Co-Authors: L. Chen, Kwok-ping Chan, Truong Q. Nguyen
    Abstract:

    Complex-valued Linear-Phase paraunitary filter banks An algorithm for complex-valued paraunitary filter banks with conjugate symmetry is proposed which leads to the filters having Linear-Phase frequency responses. Lattice structures are proposed that can be treated as a generalisation of the factorisation of real-valued Linear-Phase filter banks.

  • ICASSP (3) - Linear Phase orthonormal filter banks
    IEEE International Conference on Acoustics Speech and Signal Processing, 1993
    Co-Authors: A.k. Soman, P.p. Vaidyanathan, Truong Q. Nguyen
    Abstract:

    Paraunitary systems in which each individual filter in the analysis and synthesis banks has Linear Phase are studied. This property is often desirable for several applications, particularly in image processing. Several theoretical questions pertaining to Linear Phase paraunitary systems are answered. Next, a factorization for such systems is developed which is proved to be minimal as well as complete. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band Linear Phase orthonormal wavelets are presented. >

  • Linear Phase paraunitary filter banks: theory, factorizations and designs
    IEEE Transactions on Signal Processing, 1993
    Co-Authors: A.k. Soman, P.p. Vaidyanathan, Truong Q. Nguyen
    Abstract:

    M channel maximally decimated filter banks have been used in the past to decompose signals into subbands. The theory of perfect-reconstruction filter banks has also been studied extensively. Nonparaunitary systems with Linear Phase filters have also been designed. The authors study paraunitary systems in which each individual filter in the analysis synthesis banks has Linear Phase. Specific instances of this problem have been addressed by other authors, and Linear Phase paraunitary systems have been shown to exist. This property is often desirable for several applications, particularly in image processing. They begin by answering several theoretical questions pertaining to Linear Phase paraunitary systems. Next, they develop a minimal factorization for a large class of such systems. This factorization will be proved to be complete for even M. Further, they structurally impose the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. This significantly reduces the number of parameters to be optimized in the design process. They then demonstrate the use of these filter banks in the generation of M-band orthonormal wavelets. Several design examples are also given to validate the theory. >

  • ICASSP - The eigenfilter for the design of Linear-Phase filters with arbitrary magnitude response
    [Proceedings] ICASSP 91: 1991 International Conference on Acoustics Speech and Signal Processing, 1991
    Co-Authors: Truong Q. Nguyen
    Abstract:

    The author studies the design of Linear-Phase FIR (finite impulse response) digital filters to approximate Linear-Phase functions with arbitrary magnitude response. The design method is based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The design of complex-coefficient Linear-Phase filters is shown to be an extension of the design of the real-coefficient filter. Several examples are presented which demonstrate the usefulness of the approach. >

Peter Stubberud - One of the best experts on this subject based on the ideXlab platform.

  • System functions for 2D Linear Phase frequency sampling filters
    Journal of the Franklin Institute, 2004
    Co-Authors: Peter Stubberud
    Abstract:

    In this paper, four frequency sampling filter system functions which are classified as Type 1-1, Type 1-2, Type 2-1 and Type 2-2, are developed. Each type of these frequency sampling filter interpolates a frequency response through a specific set of frequency samples and also uses these frequency samples as coefficients in each of their implementations. Each of these system functions are further developed for 2D Linear Phase filters that have real impulse responses and for 2D Linear Phase filters that have real impulse responses and fourfold symmetry. The approximate conditions for which these frequency sampling filters can implement narrowband 2D Linear Phase filters and narrowband 2D Linear Phase filters with fourfold symmetry more efficiently than direct convolution filters are also derived.

  • The Design of 2-D Linear Phase Frequency Sampling Filters and 2-D Linear Phase Frequency Sampling Filters with Fourfold Symmetry
    1995
    Co-Authors: Peter Stubberud
    Abstract:

    In this paper, the two dimensional (2-D) frequency sampling fllter system function described in reference [1] is further developed for frequency sampling filters that have Linear Phase and frequency sampling fllters that have Linear Phase and fourfold symmetry. Theresulting system functions are computationally more efficient for implementing frequency sampling filters with Linear Phase and frequency sampling filters with Linear Phase and fourfold symmetry than the system function described in reference [1].

  • 2-D Linear Phase frequency sampling filters and 2-D Linear Phase frequency sampling filters with fourfold symmetry
    1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 1
    Co-Authors: Peter Stubberud
    Abstract:

    In this paper, a system function is developed for two dimensional (2-D) Type 2-2 frequency sampling filters that have real impulse responses and Linear Phase and for 2-D Type 2-2 frequency sampling filters that have real impulse responses, Linear Phase and fourfold symmetry. Under certain conditions, these frequency sampling filters can implement narrowband 2-D Linear Phase filters and narrowband 2-D Linear Phase filters with fourfold symmetry much more efficiently than direct convolution implementations.

De Queirozr.l. - One of the best experts on this subject based on the ideXlab platform.

Han Mook Choi - One of the best experts on this subject based on the ideXlab platform.

  • ISCAS - On multidimensional Linear Phase perfect reconstruction filter banks
    Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 1994
    Co-Authors: S. Basu, Han Mook Choi
    Abstract:

    We consider the multidimensional version of the problem of Linear Phase perfect reconstruction filter bank design. We give conditions for Linear Phase property of the filter bank, enumerate the number of symmetric and antisymmetric filters in the bank and give results on the possibility of construction of the entire filter bank if all filters in the bank except one are specified without any restriction other than the Linear Phase property. >

A.k. Soman - One of the best experts on this subject based on the ideXlab platform.

  • ICASSP (3) - Linear Phase orthonormal filter banks
    IEEE International Conference on Acoustics Speech and Signal Processing, 1993
    Co-Authors: A.k. Soman, P.p. Vaidyanathan, Truong Q. Nguyen
    Abstract:

    Paraunitary systems in which each individual filter in the analysis and synthesis banks has Linear Phase are studied. This property is often desirable for several applications, particularly in image processing. Several theoretical questions pertaining to Linear Phase paraunitary systems are answered. Next, a factorization for such systems is developed which is proved to be minimal as well as complete. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band Linear Phase orthonormal wavelets are presented. >

  • Linear Phase paraunitary filter banks: theory, factorizations and designs
    IEEE Transactions on Signal Processing, 1993
    Co-Authors: A.k. Soman, P.p. Vaidyanathan, Truong Q. Nguyen
    Abstract:

    M channel maximally decimated filter banks have been used in the past to decompose signals into subbands. The theory of perfect-reconstruction filter banks has also been studied extensively. Nonparaunitary systems with Linear Phase filters have also been designed. The authors study paraunitary systems in which each individual filter in the analysis synthesis banks has Linear Phase. Specific instances of this problem have been addressed by other authors, and Linear Phase paraunitary systems have been shown to exist. This property is often desirable for several applications, particularly in image processing. They begin by answering several theoretical questions pertaining to Linear Phase paraunitary systems. Next, they develop a minimal factorization for a large class of such systems. This factorization will be proved to be complete for even M. Further, they structurally impose the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. This significantly reduces the number of parameters to be optimized in the design process. They then demonstrate the use of these filter banks in the generation of M-band orthonormal wavelets. Several design examples are also given to validate the theory. >

  • Orthonormal filter banks with Linear Phase filters
    [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals Systems & Computers, 1
    Co-Authors: A.k. Soman, P.p. Vaidyanathan, Tramy Nguyen
    Abstract:

    Maximally decimated perfect-reconstruction filter banks which are used to decompose signals into subbands are discussed. Paraunitary systems in which each individual filter in the analysis and synthesis banks has Linear Phase are described. Several theoretical questions pertaining to Linear Phase paraunitary systems are answered. A factorization for such systems that is minimal as well as complete is presented. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band Linear Phase orthonormal wavelets are also presented. >

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