Filter Design

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Chien-cheng Tseng - One of the best experts on this subject based on the ideXlab platform.

  • Stable IIR notch Filter Design with optimal pole placement
    IEEE Transactions on Signal Processing, 2001
    Co-Authors: Chien-cheng Tseng
    Abstract:

    This paper presents a two-stage approach for Designing an infinite impulse response (IIR) notch Filter. First, the numerator of the transfer function of the IIR notch Filter is obtained by placing the zeros at the prescribed notch frequencies. Then, the denominator polynomial is determined by using an iterative scheme in which the optimal pole placements are found by solving a standard quadratic programming problem. For stability, the pole radius in the single notch Filter Design is specified by the Designer, and in the multiple notch Filter Design, the pole radius is constrained by using the implications of Rouche's theorem. Examples are included to illustrate the effectiveness of the proposed techniques.

  • a comb Filter Design using fractional sample delay
    IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing, 1998
    Co-Authors: Soo-chang Pei, Chien-cheng Tseng
    Abstract:

    In this paper, a new comb Filter Design method using fractional sample delay is presented. First, the specification of the comb Filter Design is transformed into that of fractional delay Filter Design. Then, conventional finite impulse response (FIR) and allpass Filter Design techniques are directly applied to Design fractional delay Filter with transformed specification. Next, we develop a constrained fractional delay Filter Design approach to improve the performance of the direct Design method. Finally, several Design examples and an experiment of power line interference removal in an electrocardiogram (ECG) signal is demonstrated to illustrate the effectiveness of this new Design approach.

  • a comb Filter Design using fractional sample delay
    International Symposium on Circuits and Systems, 1997
    Co-Authors: Soo-chang Pei, Chien-cheng Tseng
    Abstract:

    In this paper, a new comb Filter Design method using fractional sample delay is presented. First, the specification of the comb Filter Design is transformed into that of fractional delay Filter Design. Then, conventional FIR and allpass Filter Design techniques are directly applied to Design fractional delay Filter with transformed specification. Next, we develop a constrained fractional delay Filter Design approach to improve the performance of the direct Design method. Finally, several Design examples are demonstrated to illustrate the effectiveness of this new Design approach.

  • IIR multiple notch Filter Design based on allpass Filter
    IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1997
    Co-Authors: Soo-chang Pei, Chien-cheng Tseng
    Abstract:

    A new technique for IIR multiple notch Filter Design is proposed. The specification of notch Filter is first transformed into that of allpass Filter. Then, we develop an effective approach to Design this desired allpass Filter. The realization of proposed notch Filter is equivalent to the realization of an allpass Filter. Due to the mirror-image symmetry relation between the numerator and denominator polynomials of allpass Filter, the notch Filter can be realized by a computationally efficient lattice structure with very low sensitivity. Moreover, some examples are presented to examine the effectiveness of proposed method.

  • IIR multiple notch Filter Design based on allpass Filter
    Proceedings of Digital Processing Applications (TENCON '96), 1996
    Co-Authors: Chien-cheng Tseng
    Abstract:

    A real coefficient IIR notch Filter Design problem is investigated. The notch Filter specification is first transformed into that of an allpass Filter. Then, we develop an effective approach to Design this desired allpass Filter. The realization of the proposed notch Filter is equivalent to the realization of an allpass Filter. Due to the mirror-image symmetry relation between the numerator and denominator polynomials of the allpass Filter, the notch Filter can be realized by a computationally efficient lattice structure with very low sensitivity. Moreover, some Design and application examples are presented to examine the effectiveness of proposed method.

Guanghong Yang - One of the best experts on this subject based on the ideXlab platform.

  • switching type h Filter Design for t s fuzzy systems with unknown or partially unknown membership functions
    IEEE Transactions on Fuzzy Systems, 2013
    Co-Authors: Guanghong Yang
    Abstract:

    This paper is concerned with the H∞ Filter Design problem for Takagi-Sugeno (T-S) fuzzy systems with unknown or partially unknown membership functions. If the membership functions are allowed to be unknown or partially unknown, then a fuzzy system may describe a wide class of nonlinear systems. However, in this case, the Filter Design of fuzzy systems, which is based on parallel distributed compensator strategy, is infeasible. To tackle this difficulty, a switching mechanism, which depends on the lower and upper bounds of the unknown membership functions, is introduced to construct the H∞ Filter with varying gains. Some examples given in the simulation section show that the proposed method can achieve a better disturbance attenuation performance than a simple fixed-gain Filter Design approach.

  • brief paper insensitive h Filter Design for continuous time systems with respect to Filter coefficient variations
    Automatica, 2010
    Co-Authors: Guanghong Yang, Xianggui Guo
    Abstract:

    This paper is concerned with the problem of Designing insensitive H"~ Filters for linear continuous-time systems. Coefficient sensitivity functions of transfer functions with respect to Filter additive/multiplicative coefficient variations are defined, and the H"~ norms of the sensitivity functions are used to measure the sensitivity of the transfer functions with respect to additive Filter coefficient variations. In addition, in order to deal with the Filter Design problem for the multiplicative Filter coefficient variation case, new measures based on the average of the sensitivity functions are also defined. Consequently, the insensitive H"~ Filter Design problem is reduced to a multi-objective Filter Design problem, which minimizes the coefficient's sensitivity and meets the prescribed H"~ norm constraint simultaneously. First, a novel method for Designing insensitive H"~ Filters subjected to additive Filter coefficient variations is given in terms of the linear matrix inequality (LMI) optimization techniques. Furthermore, based on the new sensitivity measures, the obtained results are extended to the multiplicative coefficient variation case. In addition, an indirect method for solving the multiplicative variations is also proposed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

  • brief paper non fragile h Filter Design for linear continuous time systems
    Automatica, 2008
    Co-Authors: Guanghong Yang, Weiwei Che
    Abstract:

    This paper studies the problem of non-fragile H"~ Filter Design for linear continuous-time systems. The Filter to be Designed is assumed to include additive gain variations, which result from Filter implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile H"~ Filter Design in terms of solutions to a set of linear matrix inequalities (LMIs). The Designs guarantee the asymptotic stability of the estimation errors, and the H"~ performance of the system from the exogenous signals to the estimation errors below a prescribed level. A numerical example is given to illustrate the effect of the proposed method.

  • h Filter Design for uncertain discrete time systems in finite frequency domain
    International Conference on Control Applications, 2007
    Co-Authors: Heng Wang, Guanghong Yang
    Abstract:

    This paper studies the problem of finite frequency Hinfin Filter Design for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman-Yakubovich-Popov (GKYP) lemma is exploited to formulate the Filter Design problem in finite frequency domain. A Design method is presented in terms of solutions to a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

S P Ghoshal - One of the best experts on this subject based on the ideXlab platform.

  • gravitation search algorithm application to the optimal iir Filter Design
    Journal of King Saud University: Engineering Sciences, 2014
    Co-Authors: Suman Kumar Saha, Durbadal Mandal, Rajib Kar, S P Ghoshal
    Abstract:

    Abstract This paper presents a global heuristic search optimization technique known as Gravitation Search Algorithm (GSA) for the Design of 8th order Infinite Impulse Response (IIR), low pass (LP), high pass (HP), band pass (BP) and band stop (BS) Filters considering various non-linear characteristics of the Filter Design problems. This paper also adopts a novel fitness function in order to improve the stop band attenuation to a great extent. In GSA, law of gravity and mass interactions among different particles are adopted for handling the non-linear IIR Filter Design optimization problem. In this optimization technique, searcher agents are the collection of masses and interactions among them are governed by the Newtonian gravity and the laws of motion. The performances of the GSA based IIR Filter Designs have proven to be superior as compared to those obtained by real coded genetic algorithm (RGA) and standard Particle Swarm Optimization (PSO). Extensive simulation results affirm that the proposed approach using GSA outperforms over its counterparts not only in terms of quality output, i.e., sharpness at cut-off, smaller pass band ripple, higher stop band attenuation, but also the fastest convergence speed with assured stability.

  • craziness based particle swarm optimization algorithm for fir band stop Filter Design
    Swarm and evolutionary computation, 2012
    Co-Authors: Rajib Kar, Sangeeta Mondal, Durbadal Mandal, S P Ghoshal
    Abstract:

    Abstract In this paper, an improved particle swarm optimization technique called Craziness based Particle Swarm Optimization (CRPSO) is proposed and employed for digital finite impulse response (FIR) band stop Filter Design. The Design of FIR Filter is generally nonlinear and multimodal. Hence gradient based classical optimization methods are not suitable for digital Filter Design due to sub-optimality problem. So, global optimization techniques are required to avoid local minima problem. Several heuristic approaches are available in the literatures. The Particle Swarm Optimization (PSO) algorithm is a heuristic approach with two main advantages: it has fast convergence, and it uses only a few control parameters. But the performance of PSO depends on its parameters and may be influenced by premature convergence and stagnation problem. To overcome these problems the PSO algorithm has been modified in this paper and is used for FIR Filter Design. In birds' flocking or fish schooling, a bird or a fish often changes directions suddenly. This is described by using a “craziness” factor and is modelled in the technique by using a craziness variable. A craziness operator is introduced in the proposed technique to ensure that the particle would have a predefined craziness probability to maintain the diversity of the particles. The algorithm's performance is studied with the comparison of real coded genetic algorithm (RGA), conventional PSO, comprehensive learning particle swarm optimization (CLPSO) and Parks and McClellan (PM) Algorithm. The simulation results show that the CRPSO is superior or comparable to the other algorithms for the employed examples and can be efficiently used for FIR Filter Design.

  • novel particle swarm optimization for low pass fir Filter Design
    2012
    Co-Authors: Sangeeta Mondal, S P Ghoshal, Durbadal Mandal
    Abstract:

    A bstract: This paper presents an optimal Design of linear phase digital low pass finite impulse response (FIR) Filter using Novel Particle Swarm Optimization (NPSO). NPSO is an improved particle swarm optimization (PSO) that proposes a new definition for the velocity vector and swarm updating and hence the solution quality is improved. The inertia weight has been modified in the PSO to enhance its search capability that leads to a higher probability of obtaining the global optimal solution. The key feature of the proposed modified inertia weight mechanism is to monitor the weights of particles, which linearly decrease in general applications. In the Design process, the Filter length, pass band and stop band frequencies, feasible pass band and stop band ripple sizes are specified. FIR Filter Design is a multi6modal optimization problem. Evolutionary algorithms like real code genetic algorithm (RGA), particle swarm optimization (PSO), and the novel particle swarm optimization (NPSO) have been used in this work for the Design of linear phase FIR low pass (LP) Filter. A comparison of simulation results reveals the optimization efficacy of the algorithm over the prevailing optimization techniques for the solution of the multimodal, non6differentiable, highly non6linear, and constrained FIR Filter Design problems.

Xianggui Guo - One of the best experts on this subject based on the ideXlab platform.

  • brief paper insensitive h Filter Design for continuous time systems with respect to Filter coefficient variations
    Automatica, 2010
    Co-Authors: Guanghong Yang, Xianggui Guo
    Abstract:

    This paper is concerned with the problem of Designing insensitive H"~ Filters for linear continuous-time systems. Coefficient sensitivity functions of transfer functions with respect to Filter additive/multiplicative coefficient variations are defined, and the H"~ norms of the sensitivity functions are used to measure the sensitivity of the transfer functions with respect to additive Filter coefficient variations. In addition, in order to deal with the Filter Design problem for the multiplicative Filter coefficient variation case, new measures based on the average of the sensitivity functions are also defined. Consequently, the insensitive H"~ Filter Design problem is reduced to a multi-objective Filter Design problem, which minimizes the coefficient's sensitivity and meets the prescribed H"~ norm constraint simultaneously. First, a novel method for Designing insensitive H"~ Filters subjected to additive Filter coefficient variations is given in terms of the linear matrix inequality (LMI) optimization techniques. Furthermore, based on the new sensitivity measures, the obtained results are extended to the multiplicative coefficient variation case. In addition, an indirect method for solving the multiplicative variations is also proposed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

Yu Xinjie - One of the best experts on this subject based on the ideXlab platform.

  • cooperative coevolutionary genetic algorithm for digital iir Filter Design
    IEEE Transactions on Industrial Electronics, 2007
    Co-Authors: Yu Xinjie
    Abstract:

    A novel algorithm for digital infinite-impulse response (IIR) Filter Design is proposed in this paper. The suggested algorithm is a kind of cooperative coevolutionary genetic algorithm. It considers the magnitude response and the phase response simultaneously and also tries to find the lowest Filter order. The structure and the coefficients of the digital IIR Filter are coded separately, and they evolve coordinately as two different species, i.e., the control species and the coefficient species. The nondominated sorting genetic algorithm-II is used for the control species to guide the algorithms toward three objectives simultaneously. The simulated annealing is used for the coefficient species to keep the diversity. These two strategies make the cooperative coevolutionary process work effectively. Comparisons with another genetic algorithm-based digital IIR Filter Design method by numerical experiments show that the suggested algorithm is effective and robust in digital IIR Filter Design