Minimax passband group delay nonlinear phase peak constrained FIR filter design without imposing desired phase response

Ho, Charlotte Yuk-Fan and Ling, Wing-Kuen and Dam, Heidi Hai Huyen and Teo, Kok-Lay (2011) Minimax passband group delay nonlinear phase peak constrained FIR filter design without imposing desired phase response. International Journal of Innovative Computing, Information and Control . pp. 530-533. ISSN 1349-4198

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Abstract

In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint on the passband group delay response of the filter as well as a specification on the maximum absolute difference between the desired magnitude square response and the designed magnitude square response over both the passband and the stopband. This filter design problem is a quadratic NP hard functional inequality constrained optimization problem. To tackle this problem, first, the one norm functional inequality constraint of the optimization problem is approximated by a smooth function so that the quadratic NP hard functional inequality constrained optimization problem is converted to a nonconvex functional inequality constrained optimization problem. Then, a modified filled function method is applied for finding the global minimum of the nonconvex optimization problem. By using a local minimum of the corresponding unconstrained optimization problem as the initial condition of our proposed global optimization algorithm, computer numerical simulation results show that our proposed approach could efficiently and effectively design a minimax passband group delay nonlinear phase peak constrained FIR filter without imposing a desired phase response.

Item Type:Article
Additional Information:In this paper, a nonlinear phase finite impulse response (FIR) filter is designed without imposing a desired phase response. The maximum passband group delay of the filter is minimized subject to a positivity constraint on the passband group delay response of the filter as well as a specification on the maximum absolute difference between the desired magnitude square response and the designed magnitude square response over both the passband and the stopband. This filter design problem is a quadratic NP hard functional inequality constrained optimization problem. To tackle this problem, first, the one norm functional inequality constraint of the optimization problem is approximated by a smooth function so that the quadratic NP hard functional inequality constrained optimization problem is converted to a nonconvex functional inequality constrained optimization problem. Then, a modified filled function method is applied for finding the global minimum of the nonconvex optimization problem. By using a local minimum of the corresponding unconstrained optimization problem as the initial condition of our proposed global optimization algorithm, computer numerical simulation results show that our proposed approach could efficiently and effectively design a minimax passband group delay nonlinear phase peak constrained FIR filter without imposing a desired phase response.
Keywords:Nonlinear phase peak constrained FIR filter design, minimax passband group delay, functional inequality constrained optimization problem, quadratic NP hard optimization problem, modified filled function method., bmjtype
Subjects:H Engineering > H610 Electronic Engineering
Divisions:College of Science > School of Engineering
ID Code:4520
Deposited By:INVALID USER
Deposited On:05 Jun 2011 20:23
Last Modified:13 Mar 2013 09:00

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