The Experts below are selected from a list of 57 Experts worldwide ranked by ideXlab platform

Tian-bo Deng - One of the best experts on this subject based on the ideXlab platform.

  • Design of linear-phase variable 2-D digital filters using matrix-array decomposition
    IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2003
    Co-Authors: Tian-bo Deng
    Abstract:

    A novel approach for designing linear-phase variable two-dimensional (2-D) digital filters is described, which is based on the matrix-array decomposition (MAD) of real-valued multidimensional arrays. By using the MAD, the desired variable 2-D Magnitude response can be decomposed into the real-valued frequency response Specifications of the normal zero-phase constant 2-D filters and the approximation Specifications of multidimensional polynomials. Consequently, the problem of approximating the desired variable 2-D Magnitude response can be decomposed into sub-problems that involve the design of zero-phase constant 2-D filters and the approximation of multidimensional polynomials. Once the zero-phase constant 2-D filters and the multidimensional polynomials are obtained, interconnecting them yields a zero-phase variable 2-D digital filter. Finally, a linear-phase variable 2-D digital filter can be easily obtained by simply modifying the zero-phase constant 2-D filters (noncausal) to linear-phase ones (causal) through shifting the filter coefficients. Since the sub-problems are much easier to solve than the direct approximation of the given variable 2-D Magnitude Specification, this MAD-based design approach is extremely efficient and straightforward. In designing zero-phase constant 2-D filters and approximating multidimensional polynomials, we also propose a new objective criterion for selecting appropriate filter orders and polynomial degrees. Furthermore, we also show that the resulting linear-phase variable 2-D filters have highly parallel structures and modularity, which are suitable for high-speed multidimensional signal processing. Two numerical examples are given to demonstrate the effectiveness of the MAD-based design approach.

  • Design of linear phase variable 2-D digital filters using real-complex decomposition
    IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998
    Co-Authors: Tian-bo Deng
    Abstract:

    Variable digital filters are especially difficult to design when the given variable design Specifications are complicated. This paper proposes a new method for designing two dimensional (2-D) variable digital filters with arbitrarily variable, Magnitude characteristics and linear phase. By combining variable Magnitude Specification with linear phase Specification, we first form a variable 2-D frequency response Specification, which is complex-valued. Then we propose a method for decomposing the complex-valued variable Specification into real-valued and complex-valued components. We call this decomposition the Real Complex decomposition. Finally, the resulting real-valued components are approximated by using one-dimensional (1-D) polynomials, and the complex-valued components are approximated by using constant 2-D filters. Connecting the 1-D polynomials and 2-D constant filters results in a variable 2-D filter. The significant advantage of the design method is that it can reduce the original difficult problem to a set of easier ones based on the Real-Complex decomposition.

  • DESIGN OF 2-D DIGITAL FILTERS BASED ON THE OPTIMAL DECOMPOSITION OF Magnitude SpecificationS
    Journal of Circuits Systems and Computers, 1993
    Co-Authors: Tian-bo Deng, Masayuki Kawamata, Tatsuo Higuchi
    Abstract:

    The optimal decomposition (OD) technique for decomposing 2-D Magnitude Specifications into 1-D ones is proposed. Differing from the conventional matrix decomposition methods such as the singular value decomposition (SVD), the OD of a 2-D Magnitude Specification matrix results in 1-D Magnitude Specifications which are always non-negative while the root mean-squared (rms) error in decomposition is minimum. Therefore, the OD is more suitable for designing 2-D digital filters (2DDFs) through designing one-dimensional digital filters (1DDFs) than the conventional matrix decomposition methods. Based on the OD, the problem of designing a recursive 2DDF can be reduced to one of designing a pair of 1DDFs, one 1-input/multi-output, and the other multi-input/ 1-output. Consequently, 2DDFs can easily be obtained by designing 1DDFs using the well-established 1-D design techniques. Three design examples are presented to illustrate that this OD-based 2DDF design technique is extremely efficient.

  • Frequency-domain design of 2-D digital filters using the iterative singular value decomposition
    IEEE Transactions on Circuits and Systems, 1991
    Co-Authors: Tian-bo Deng, Masayuki Kawamata
    Abstract:

    The authors propose a technique for designing 2-D digital filters (2DDFs) with specified Magnitude and constant group delay characteristics. The method is based on the iterative singular value decomposition (ISVD) of a 2-D Magnitude Specification matrix. The ISVD guarantees all its decomposition results to be always nonnegative. By using the ISVD, 2-D Magnitude Specifications can be decomposed into a pair of 1-D ones, and thus the problem of designing a 2DDF can be reduced to the one of designing a pair of 1DDFs or even only one 1DDF. A design example shows that this technique can be used to design 2DDFs with a higher degree of precision but needs less computational effort. >

  • Linear phase 1-D variable filter design based on real-complex decomposition
    1997 IEEE Pacific Rim Conference on Communications Computers and Signal Processing PACRIM. 10 Years Networking the Pacific Rim 1987-1997, 1
    Co-Authors: Tian-bo Deng
    Abstract:

    Variable digital filters are especially difficult to design in the case that the given variable design Specifications are complicated. This paper proposes a new method for designing variable one-dimensional (1-D) digital filters approximating both the given variable Magnitude Specification and the linear phase Specification based on the complex array decomposition.

Padmanabhan Rajan - One of the best experts on this subject based on the ideXlab platform.

H.c. Reddy - One of the best experts on this subject based on the ideXlab platform.

  • ISCAS - Efficient design of delta operator based 2-D IIR filters using symmetrical decomposition
    2008 IEEE International Symposium on Circuits and Systems, 2008
    Co-Authors: I-hung Khoo, H.c. Reddy, Padmanabhan Rajan
    Abstract:

    A method based on symmetrical decomposition is presented for the design of 2-D IIR filters through optimization. This technique allows a filter with non-symmetric Magnitude Specification to benefit from the savings in parameters provided by symmetry. The procedure is developed for the delta operator based design to take advantage of its better coefficient sensitivity compared to the z-domain design when the filter is narrowband.

  • Symmetry Study for Delta- Operator-Based 2-D Digital Filters
    IEEE Transactions on Circuits and Systems I: Regular Papers, 2006
    Co-Authors: I.-h. Khoo, H.c. Reddy, P.k. Rajan
    Abstract:

    The complexity in the design and implementation of two-dimensional (2-D) filters can be considerably reduced if we utilize the symmetries that might be present in the frequency response of these filters. As the delta-operator formulation of digital filters offers better numerical accuracy and lower coefficient sensitivity in narrowband filter designs when compared to the traditional shift-operator formulation, it is desirable to have efficient design and implementation techniques in gamma-domain which utilize the various symmetries in filter Specifications. With this motivation, we comprehensively establish the theory of constraints for delta-operator formulated discrete-time real-coefficient polynomials and functions, arising out of the many types of symmetries in their Magnitude responses. We also show that as sampling time tends to zero, the gamma-domain symmetry constraints merge with those of s-domain symmetry constraints. We then present a least square error criterion based procedure to design 2-D digital filters in gamma-domain that utilizes the symmetry properties of the Magnitude Specification. A design example is provided to illustrate the savings in computational complexity resulting from the use of the gamma-domain symmetry constraints

Masayuki Kawamata - One of the best experts on this subject based on the ideXlab platform.

  • DESIGN OF 2-D DIGITAL FILTERS BASED ON THE OPTIMAL DECOMPOSITION OF Magnitude SpecificationS
    Journal of Circuits Systems and Computers, 1993
    Co-Authors: Tian-bo Deng, Masayuki Kawamata, Tatsuo Higuchi
    Abstract:

    The optimal decomposition (OD) technique for decomposing 2-D Magnitude Specifications into 1-D ones is proposed. Differing from the conventional matrix decomposition methods such as the singular value decomposition (SVD), the OD of a 2-D Magnitude Specification matrix results in 1-D Magnitude Specifications which are always non-negative while the root mean-squared (rms) error in decomposition is minimum. Therefore, the OD is more suitable for designing 2-D digital filters (2DDFs) through designing one-dimensional digital filters (1DDFs) than the conventional matrix decomposition methods. Based on the OD, the problem of designing a recursive 2DDF can be reduced to one of designing a pair of 1DDFs, one 1-input/multi-output, and the other multi-input/ 1-output. Consequently, 2DDFs can easily be obtained by designing 1DDFs using the well-established 1-D design techniques. Three design examples are presented to illustrate that this OD-based 2DDF design technique is extremely efficient.

  • Frequency-domain design of 2-D digital filters using the iterative singular value decomposition
    IEEE Transactions on Circuits and Systems, 1991
    Co-Authors: Tian-bo Deng, Masayuki Kawamata
    Abstract:

    The authors propose a technique for designing 2-D digital filters (2DDFs) with specified Magnitude and constant group delay characteristics. The method is based on the iterative singular value decomposition (ISVD) of a 2-D Magnitude Specification matrix. The ISVD guarantees all its decomposition results to be always nonnegative. By using the ISVD, 2-D Magnitude Specifications can be decomposed into a pair of 1-D ones, and thus the problem of designing a 2DDF can be reduced to the one of designing a pair of 1DDFs or even only one 1DDF. A design example shows that this technique can be used to design 2DDFs with a higher degree of precision but needs less computational effort. >

  • A novel approach to frequency domain design of three-dimensional digital filters via decomposition
    [1992] Proceedings of the 35th Midwest Symposium on Circuits and Systems, 1
    Co-Authors: T. Kagoshima, Masayuki Kawamata, Tatsuo Higuchi
    Abstract:

    The authors propose an efficient frequency domain design method for three-dimensional (3-D) digital filters. The proposed method decomposes a given 3-D Magnitude Specification into 1-D Magnitude Specifications with small error. To design 3-D digital filters applicable to real-time video signal processing, a novel approach is presented to approximation of negative Magnitude Specifications given by the decomposition with causal infinite impulse response (IIR) filters in a temporal direction and with linear phase non-causal IIR filters in spatial directions. Numerical examples show that the approximation error of the proposed design method is very small. >

I-hung Khoo - One of the best experts on this subject based on the ideXlab platform.