Ho, C. Y.F. and Ling, WingKuen and Liu, YanQun and Tam, P. K. S. and Teo, KokLay
(2005)
Optimal design of nonuniform FIR transmultiplexer using semiinfinite programming.
IEEE Transactions on Signal Processing, 53
(7).
pp. 25982603.
ISSN 1053587x
Full content URL: http://dx.doi.org/10.1109/TSP.2005.849209
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Item Type:  Article 

Item Status:  Live Archive 

Abstract
This paper considers an optimum nonuniform FIR transmultiplexer design problem subject to specifications in the frequency domain. Our objective is to minimize the sum of the ripple energy for all the individual filters, subject to the specifications on amplitude and aliasing distortions, and to the passband and stopband specifications for the individual filters. This optimum nonuniform transmultiplexer design problem can be formulated as a quadratic semiinfinite programming problem. The dual parametrization algorithm is extended to this nonuniform transmultiplexer design problem. If the lengths of the filters are sufficiently long and the set of decimation integers is compatible, then a solution exists. Since the problem is formulated as a convex problem, if a solution exists, then the solution obtained is unique and the local solution is a global minimum.
Additional Information:  This paper considers an optimum nonuniform FIR transmultiplexer design problem subject to specifications in the frequency domain. Our objective is to minimize the sum of the ripple energy for all the individual filters, subject to the specifications on amplitude and aliasing distortions, and to the passband and stopband specifications for the individual filters. This optimum nonuniform transmultiplexer design problem can be formulated as a quadratic semiinfinite programming problem. The dual parametrization algorithm is extended to this nonuniform transmultiplexer design problem. If the lengths of the filters are sufficiently long and the set of decimation integers is compatible, then a solution exists. Since the problem is formulated as a convex problem, if a solution exists, then the solution obtained is unique and the local solution is a global minimum. 

Keywords:  Nonuniform transmultiplexer, semiinfinite programming, dual parameterization. 

Subjects:  H Engineering > H610 Electronic Engineering 

Divisions:  College of Science > School of Engineering 

ID Code:  3070 

Deposited On:  28 Jul 2010 14:29 

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