EPFL
 Biomedical Imaging GroupSTI
EPFL
  Publications
English only   BIG > Publications > Short-Time Analysis


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

 DOWNLOAD
 PDF
 Postscript
 All BibTeX References

Recursion in Short-Time Signal Analysis

M. Unser

Signal Processing, vol. 5, no. 3, pp. 229-240, May 1984.



The problem of finding a recursive structure for the evaluation of features through a 'running' window is investigated. A general closed form expression is found for features satisfying a direct or indirect recursion condition. It is shown that most of the commonly used features (mean value, energy, autocorrelation function, DFT, z-transform, entropy, etc.) satisfy these analytic expressions. The recursive, step by step, feature evaluation method is compared with the conventional method where features are evaluated for positions of the observation window with a 50% overlap. These two methods are equivalent in computation time for features satisfying the direct recursion condition. However, there might be some loss of information when using the last approach. The use of indirect recursion is advantageous for small window sizes. The results are then generalised to bidimensional signal processing.


@ARTICLE(http://bigwww.epfl.ch/publications/unser8302.html,
AUTHOR="Unser, M.",
TITLE="Recursion in Short-Time Signal Analysis",
JOURNAL="Signal Processing",
YEAR="1984",
volume="5",
number="3",
pages="229--240",
month="May",
note="")

© 1984 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.