Title :
Design of a class of multirate systems using a maximum relative ℒ2-error criterion
Author :
Campbell, William M. ; Parks, Thomas W.
Author_Institution :
Motorola GSTG, Scottsdale, AZ, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
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
Keywords :
Chebyshev filters; circuit optimisation; convex programming; delay circuits; discrete time filters; error analysis; filtering theory; convex analysis techniques; convex matrix-valued-function approximation problem; convex optimization; discrete time signals; filter design; linear phase filters; maximum relative ℒ2-error criterion; model-matching perspective; multirate systems design; rate changing; standard Chebyshev method; Chebyshev approximation; Control theory; Design methodology; Error correction; Filters; Helium; Optimization methods; Sampling methods; Signal design; Stochastic systems;
Journal_Title :
Signal Processing, IEEE Transactions on
