. 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 

T.W. Parks

W.M. Campbell

. 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  `  2  -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. This work was supported by the National Science Foundation under Grant MIP9224424.  2 Figure 1. An example of a rate-changing multirate system. 1. Introduction  The problem of designing the multirate system shown in Figure 1 arises when dealing with discrete-time signals at different sampling rates. In this paper, we focus on the design of such structures along with a related generalizat..

W. M. Campbell

T. W. Parks

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Design of a Class of Multirate Systems Using a Maximum Relative l&amp;sup2;-Error Criterion

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Design of a Class of Multirate Systems Using a Maximum Relative l&sup2;-Error Criterion

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Design of a Class of Multirate Systems Using a Maximum Relative l&amp;sup2;-Error Criterion

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Design of a Class of Multirate Systems Using a Maximum Relative l²-Error Criterion