Scale and Translation Invariant Methods for Enhanced Time-FrequencyPattern Recognition

  • Authors:
  • William J. Williams;Eugene J. Zalubas;Robert M. Nickel;Alfred O. Hero, III

  • Affiliations:
  • Electrical Engineering and Computer Science Dept., 423OC EECS Bldg., University of Michigan, Ann Arbor MI 48109;Electrical Engineering and Computer Science Dept., 4313 EECS Bldg., University of Michigan, Ann Arbor MI 48109;Electrical Engineering and Computer Science Dept., 4313 EECS Bldg., University of Michigan, Ann Arbor MI 48109;Electrical Engineering and Computer Science Dept., 42329 EECS Bldg., University of Michigan, Ann Arbor MI 48109

  • Venue:
  • Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
  • Year:
  • 1998

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Abstract

Time-frequency(t-f) analysis has clearly reached a certain maturity. One cannow often provide striking visual representations of the jointtime-frequency energy representation of signals. However, ithas been difficult to take advantage of this rich source of informationconcerning the signal, especially for multidimensional signals.Properly constructed time-frequency distributions enjoy manydesirable properties. Attempts to incorporate t-f analysis resultsinto pattern recognition schemes have not been notably successfulto date. Aided by Cohen‘s scale transform one may construct representationsfrom the t-f results which are highly useful in pattern classification.Such methods can produce two dimensional representations whichare invariant to time-shift, frequency-shift and scale changes.In addition, two dimensional objects such as images can be representedin a like manner in a four dimensional form. Even so, remainingextraneous variations often defeat the pattern classificationapproach. This paper presents a method based on noise subspaceconcepts. The noise subspace enhancement allows one to separatethe desired invariant forms from extraneous variations, yieldingmuch improved classification results. Examples from sound classificationare discussed.