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Design of a class of multirate systems using a maximum relative ℒ2-error criterion

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2 Author(s)
W. M. Campbell ; Motorola GSTG, Scottsdale, AZ, USA ; T. W. Parks

A criterion for designing the class of multirate systems for rate changing is presented. This criterion arises from a model-matching perspective with maximum relative L2-error over a general class of inputs and is a natural extension of the standard Chebyshev method for filter design. Using multirate and convex analysis techniques, the criterion is shown to lead to a convex matrix-valued-function approximation problem. An algorithm using convex optimization is proposed to solve the problem. An example illustrates the use of the algorithm and effectiveness over standard filter-design techniques

Published in:

IEEE Transactions on Signal Processing  (Volume:45 ,  Issue: 3 )