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Peter Kwong-shun Tam - One of the best experts on this subject based on the ideXlab platform.

  • oscillation and convergence behaviours exhibited in an unstable second Order Digital Filter with saturation type non linearity
    International Journal of Circuit Theory and Applications, 2004
    Co-Authors: Bingo Wing-kuen Ling, Raymond Shing-keung Leung, Peter Kwong-shun Tam
    Abstract:

    This letter explains the oscillatory behaviors exhibited in a second-Order Digital Filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.

  • Oscillation and convergence behaviours exhibited in an ‘unstable’ second-Order Digital Filter with saturation-type non-linearity: Research Articles
    International Journal of Circuit Theory and Applications, 2004
    Co-Authors: Bingo Wing-kuen Ling, Raymond Shing-keung Leung, Peter Kwong-shun Tam
    Abstract:

    This letter explains the oscillatory behaviours exhibited in a second-Order Digital Filter with saturation-type non-linearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle. Copyright © 2004 John Wiley & Sons, Ltd. abstract

  • Autonomous response of a third-Order Digital Filter with two's complement arithmetic realized in cascade form: Research Articles
    International Journal of Circuit Theory and Applications, 2004
    Co-Authors: Bingo Wing-kuen Ling, Wai-fung Hung, Peter Kwong-shun Tam
    Abstract:

    In this letter, results on the autonomous response of a third-Order Digital Filter with two's complement arithmetic realized as a first-Order subsystem cascaded by a second-Order subsystem are reported. The behaviour of the second-Order subsystem depends on the pole location and the initial condition of the first-Order subsystem, because the transient behaviour is affected by the first-Order subsystem and this transient response can be viewed as an excitation of the original initial state to another state. New results on the set of necessary and sufficient conditions relating the trajectory equations, the behaviours of the symbolic sequences and the sets of the initial conditions are derived. The effects of the pole location and the initial condition of first-Order subsystem on the overall system are discussed. Some interesting differences between the autonomous response of the second-Order subsystem and the response due to the exponentially decaying input are reported. Some simulation results are given to illustrate the analytical results. Copyright © 2004 John Wiley & Sons, Ltd.

  • Oscillation and convergence behaviours exhibited in an ‘unstable’ second-Order Digital Filter with saturation-type non-linearity
    International Journal of Circuit Theory and Applications, 2004
    Co-Authors: Bingo Wing-kuen Ling, Raymond Shing-keung Leung, Peter Kwong-shun Tam
    Abstract:

    This letter explains the oscillatory behaviors exhibited in a second-Order Digital Filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.

  • Autonomous response of a third-Order Digital Filter with two's complement arithmetic realized in cascade form
    International Journal of Circuit Theory and Applications, 2004
    Co-Authors: Bingo Wing-kuen Ling, Wai-fung Hung, Peter Kwong-shun Tam
    Abstract:

    In this letter, results on the autonomous response of a third-Order Digital Filter with two's complement arithmetic realized as a first-Order subsystem cascaded by a second-Order subsystem are reported. The behaviour of the second-Order subsystem depends on the pole location and the initial condition of the first-Order subsystem, because the transient behaviour is affected by the first-Order subsystem and this transient response can be viewed as an excitation of the original initial state to another state. New results on the set of necessary and sufficient conditions relating the trajectory equations, the behaviours of the symbolic sequences and the sets of the initial conditions are derived. The effects of the pole location and the initial condition of first-Order subsystem on the overall system are discussed. Some interesting differences between the autonomous response of the second-Order subsystem and the response due to the exponentially decaying input are reported. Some simulation results are given to illustrate the analytical results. Copyright © 2004 John Wiley & Sons, Ltd.

Bingo Wing-kuen Ling - One of the best experts on this subject based on the ideXlab platform.

F. El-guibaly - One of the best experts on this subject based on the ideXlab platform.

  • New low roundoff noise realizations of second-Order Digital Filter sections
    IEEE Transactions on Signal Processing, 1995
    Co-Authors: A. Tawfik, Panajotis Agathoklis, F. El-guibaly
    Abstract:

    New structures for second-Order Filter sections are proposed that yield lower output roundoff noise than many well known structures and are free of zero-input limit cycle oscillations. These new low-roundoff structures are based on these suggested by Bomar (1989) and are obtained by putting the constraint that some of the state-space coefficients be sum-of-two power-of-two terms. Numerical results are included to illustrate the performance of the proposed structures for narrow-band Filters and to compare them with other structures. >

  • VLSI implementation of a second-Order Digital Filter
    Canadian Journal of Electrical and Computer Engineering, 1994
    Co-Authors: S. Sunder, F. El-guibaly, Andreas Antoniou
    Abstract:

    The implementation of a second-Order Digital Filter is discussed. A novel multiplier, by means of which an inner product operation is performed without the use of an accumulator, is used as a component in the second-Order Filter to achieve significantly reduced area and noise. In this multiplier, maximum use is made of all the cells comprising the multiplier.

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

  • APSIPA - On the limit cycles in the minimum L 2 -sensitivity realizations subject to L 2 -scaling constraints of second-Order Digital Filters
    2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, 2013
    Co-Authors: Shunsuke Yamaki, Masahide Abe, M. Kawamata
    Abstract:

    This paper gives conjecture on the absence of limit cycles of the minimum L2-sensitivity realizations subject to L2-scaling constraints for second-Order Digital Filters. We design second-Order Digital Filters with various pole-zero configurations, synthesize the minimum L2-sensitivity realizations subject to L2-scaling constraints, and examine if their coefficient matrices satisfy a sufficient condition for the absence of limit cycles. As a result, in the range of practical pole radii, it is shown that the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-Order Digital Filters satisfy a sufficient condition for the absence of limit cycles. Furthermore, we demonstrate the absence of limit cycles of the minimum L2-sensitivity realizations of a second-Order Digital Filter by observing its zero-input response.

  • Heuristic synthesis of low coefficient sensitivity second-Order Digital Filters using genetic programming
    IEE Proceedings - Circuits Devices and Systems, 2001
    Co-Authors: K. Uesaka, M. Kawamata
    Abstract:

    The authors propose a new approach to the synthesis of low coefficient sensitivity second-Order Digital Filter sections using genetic programming (GP). GP is applied to the synthesis problem by establishing a mapping between the Filter structures and computer programs. Genetic operators change the computer programs in Order to change the connections between the elements in the Filter structures, and consequently change the coefficient sensitivities of those Filter structures. The fitness measure that includes the coefficient sensitivities enables the selection operator to choose low sensitivity Filter structures. In the paper, two coefficient sensitivity measures are used: the magnitude sensitivity and the relative sensitivity. A numerical example is presented to demonstrate that the sensitivity of the Filter synthesised by GP is lower than that of other low coefficient sensitivity Filter structures proposed so far.

  • Synthesis of low-sensitivity second-Order Digital Filter using genetic programming with automatically defined functions
    2000 IEEE International Symposium on Circuits and Systems (ISCAS), 2000
    Co-Authors: K. Uesaka, M. Kawamata
    Abstract:

    This paper proposes a synthesis method for low coefficient sensitivity second-Order IIR Digital Filter structures using Genetic Programming with Automatically Defined Functions (GP-ADF). In this paper, Digital Filter structures are represented as S-expressions with subroutines. It is easy to generate syntactically valid S-expressions and perform the genetic operations because the representation is suitable for GP. In a numerical example, we use the fitness measure including the magnitude sensitivity, and demonstrate that the proposed method can synthesize efficiently very low coefficient sensitivity Filter structures.

Maciej Ogorzalek - One of the best experts on this subject based on the ideXlab platform.

  • on symbolic dynamics of a chaotic second Order Digital Filter
    International Journal of Circuit Theory and Applications, 1992
    Co-Authors: Zbigniew Galias, Maciej Ogorzalek
    Abstract:

    This paper presents a contribution to the symbolic analysis of fractal patterns exhibited by a second-Order Digital Filter with modular adder overflow characteristic. We use symbolic dynamics for the analysis of phenomena encountered in the system. We present several new results concerning the existence of admissible sequences for periodic orbits in the Filter. an efficient computational algorithm based on rigorous mathematical results presented in the paper enabled us to calculate sequences with long periods, thus allowing deeper understanding of the underlying mechanisms of complex behaviour encountered in the Filter.

  • On symbolic dynamics of a chaotic second‐Order Digital Filter
    International Journal of Circuit Theory and Applications, 1992
    Co-Authors: Zbigniew Galias, Maciej Ogorzalek
    Abstract:

    This paper presents a contribution to the symbolic analysis of fractal patterns exhibited by a second-Order Digital Filter with modular adder overflow characteristic. We use symbolic dynamics for the analysis of phenomena encountered in the system. We present several new results concerning the existence of admissible sequences for periodic orbits in the Filter. an efficient computational algorithm based on rigorous mathematical results presented in the paper enabled us to calculate sequences with long periods, thus allowing deeper understanding of the underlying mechanisms of complex behaviour encountered in the Filter.

  • Bifurcation phenomena in second-Order Digital Filter with saturation-type adder overflow characteristic
    IEEE Transactions on Circuits and Systems, 1990
    Co-Authors: Zbigniew Galias, Maciej Ogorzalek
    Abstract:

    An analysis of the dynamic behavior of a second-Order Digital Filter operating outside the region of absolute stability in the case of saturation nonlinearity of the accumulator is presented. Bifurcation phenomena associated with changes of one of the parameters of the Filter's linear part are investigated. On the basis of a numerical study, it is conjectured that systems trajectories become chaotic for some parameter ranges. Several interesting bifurcation patterns have been revealed-including devil's staircase and self-similar, fan-type structures. >