Constrained Chebyshev approximation for FIR filters
F. Grenez
Abstract
F. Grenez
Abstract
Constrained Chebychev approximation is a known mathematical problem, and Remes' type algorithms for finding the solution have been described. It is shown in this paper that the classical Parks-McClellan program can be converted into a general program for constrained approximation.
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Constrained Chebychev approximation is a known mathematical problem, and Remes' type algorithms for finding the solution have been described. It is shown in this paper that the classical Parks-McClellan program can be converted into a general program for constrained approximation.
Key concepts: Chebyshev filter, Approximation theory, Finite impulse response, Approximation algorithm, Equioscillation theorem, Minimax approximation algorithm, Mathematical optimization, Applied mathematics