EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > FIR Approximations


 CONTENTS
 Home Page
 News & Events
 People
 Publications
 Tutorials and Reviews
 Research
 Demos
 Download Algorithms

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

FIR Approximations of Inverse Filters and Perfect Reconstruction Filter Banks

M. Unser, M. Eden

Signal Processing, vol. 36, no. 2, pp. 163-174, March 1994.



This paper first describes an algorithm that finds the approximate finite impulse response (FIR) inverse of an FIR filter by minimizing the inversion (or reconstruction) error constrained to zero-bias. The generalization of the inverse filtering problem in the two-channel case is the design of perfect reconstruction filter banks that use critical sampling. These considerations lead to the derivation of an algorithm that provides a minimum error and unbiased FIR/FIR approximation of a perfect reconstruction IIR/FIR (or FIR/IIR) filter bank. The one-channel algorithm is illustrated with the design of an FIR filter to compute the B-spline coefficients for cubic spline signal interpolation. The two-channel algorithm is applied to the design of a FIR/FIR filter bank that implements the cubic B-spline wavelet transform. Finally, we consider a modification of this technique for the design of modulated-filter banks, which are better suited for subband coding.


@ARTICLE(http://bigwww.epfl.ch/publications/unser9406.html,
AUTHOR="Unser, M. and Eden, M.",
TITLE="{FIR} Approximations of Inverse Filters and Perfect
        Reconstruction Filter Banks",
JOURNAL="Signal Processing",
YEAR="1994",
volume="36",
number="2",
pages="163--174",
month="March",
note="")

© 1994 Elsevier. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from Elsevier.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.