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

Ho, Charlotte Yuk-Fan and Ling, Wing-Kuen and Dam, Hai Huyen and Yeo, Kok-Lay (2011) Minimax passband group delay nonlinear FIR filter design without imposing desired phase response. In: 19th European Signal Processing Conference, August 29 - September 2 2011, Palau de Congressos de Catalunya.

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Official URL: http://www.eurasip.org/Proceedings/Eusipco/Eusipco...

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 nonsmooth functional ine-quality 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 nonsmooth functional inequality con-strained optimization problem is approximated as a noncon-vex functional inequality constrained optimization problem. Then, a modified filled function method is applied for find-ing the global minimum of the nonconvex optimization prob-lem. Computer numerical simulation results show that our designed nonlinear phase peak constrained FIR filter could achieve lower minimum passband group delay than those of existing designs.

Item Type:Conference or Workshop Item (Lecture)
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 nonsmooth functional ine-quality 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 nonsmooth functional inequality con-strained optimization problem is approximated as a noncon-vex functional inequality constrained optimization problem. Then, a modified filled function method is applied for find-ing the global minimum of the nonconvex optimization prob-lem. Computer numerical simulation results show that our designed nonlinear phase peak constrained FIR filter could achieve lower minimum passband group delay than those of existing designs.
Keywords:nonlinear phase FIR filter design, group delay, minimax
Subjects:H Engineering > H610 Electronic Engineering
Divisions:College of Science > School of Engineering
ID Code:4524
Deposited By:INVALID USER
Deposited On:05 Jun 2011 08:10
Last Modified:13 Mar 2013 09:00

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