Biomedical Imaging GroupSTI
English only   BIG > Publications > Pseudo-Cyclic Convolutions

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 PDF not available
 PS not available
 All BibTeX References

A family of Discrete Fourier Transforms with Pseudo-Cyclic Convolution Properties

M. Unser

Proceedings of the Twelfth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'87), Dallas TX, USA, April 6-9, 1987, vol. III, pp. 1815-1818.

An extended family of discrete Fourier transforms is introduced. These transforms, which may be implemented by using FFTs, allow the computation of pseudocyclic convolutions by multiplication in the transform domain. The choice of a suitable transform (DFT1/4) or the combined use of two complementary transforms allows a fast and efficient computation of aperiodic convolutions of waveforms of duration N by using N-point transforms that require no zero padding. Finally, all members of this family are shown to be equivalent asymptotically to the Karhunen-Loève transform of an arbitrary wide sense stationary process.

AUTHOR="Unser, M.",
TITLE="A family of Discrete {F}ourier Transforms with Pseudo-Cyclic
        Convolution Properties",
BOOKTITLE="Proceedings of the Twelfth {IEEE} International
        Conference on Acoustics, Speech, and Signal Processing
address="Dallas TX, USA",
month="April 6-9,",

© 1987 IEEE. 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 IEEE.
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.