Eigenfilter approach for the design of allpass filters approximating a given phase response
- 1 January 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 42 (9) , 2257-2263
- https://doi.org/10.1109/78.317848
Abstract
We apply the eigenfilter method to design an allpass filter that approximates a given phase response in the least-squares (LS) sense. As it is not possible to express the exact LS phase error as a quadratic form suitable for eigenfilter formulation, alternative error measures that approximate the ideal LS error are proposed. For each of these new formulations, the allpass coefficients are obtained as the elements of the eigenvector corresponding to the minimum eigenvalue of a real, symmetric, and positive definite matrix. We propose a fast-converging iterative technique to approximate the ideal LS phase error solution. By employing an iterative weighting technique, the phase error can he made approximately equiripple. The design methods are illustrated with various practical examples and the results are compared to allpass filters designs reported in the literatureKeywords
This publication has 15 references indexed in Scilit:
- IIR filterbank for subband coding of imagesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Design of allpass filters for phase approximation and equalization using LSEE error criterionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Eigenfilter design of 1-D and 2-D IIR digital all-pass filtersIEEE Transactions on Signal Processing, 1994
- The design of arbitrary FIR digital filters using the eigenfilter methodIEEE Transactions on Signal Processing, 1993
- A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter designIEEE Transactions on Signal Processing, 1992
- 2-D FIR eigenfilters: a least-squares approachIEEE Transactions on Circuits and Systems, 1990
- Design of FIR Hilbert transformers and differentiators by eigenfilterIEEE Transactions on Circuits and Systems, 1988
- Recursive Nth-band digital filters- Part I: Design and propertiesIEEE Transactions on Circuits and Systems, 1987
- Multi-level IIR digital filtersIEEE Transactions on Circuits and Systems, 1986
- On the design of digital filters as a sum of two all-pass filtersIEEE Transactions on Circuits and Systems, 1985