Presented at the
1999 IEEE Int. Conf. on Acoustics,
Speech, and Signal Processing
Optimal Design of Real and Complex Minimum Phase Digital FIR Filters
Brian L. Evans
Department of Electrical and Computer Engineering,
Engineering Science Building,
The University of Texas at Austin,
Austin, TX 78712-1084
Paper - Slides
Literature Search -
Matlab Code -
We present a generalized optimal minimum phase digital FIR filter
design algorithm that supports
(1) arbitrary magnitude response specifications,
(2) high coefficient accuracy, and
(3) real and complex filters.
The algorithm uses the Discrete Hilbert Transform relationship between
the magnitude spectrum of a causal real sequence and its minimum phase
delay phase spectrum given by Cizek.
We extend the transform pair to the complex case.
We show that the algorithm gives arbitrary coefficient accuracy.
We present design examples that exceed the coefficient accuracy of the
optimal real minimum phase filters reported by Chen and Parks and
reduce the length of the optimal complex linear phase filters
designed by Karam and McClellan.
Last Updated 11/08/04.