Show simple item record

dc.contributor.authorBaraniuk, Richard G.
Jones, Douglas L.
dc.creatorBaraniuk, Richard G.
Jones, Douglas L. 2007-10-31T00:35:27Z 2007-10-31T00:35:27Z 1995-10-01 2004-01-09
dc.identifier.citation R. G. Baraniuk and D. L. Jones, "Unitary Equivalence: A New Twist on Signal Processing," IEEE Transactions on Signal Processing, vol. 43, no. 10, 1995.
dc.description Journal Paper
dc.description.abstract Unitary similarity transformations furnish a powerful vehicle for generating infinite generic classes of signal analysis and processing tools based on concepts different from time, frequency, and scale. Implementation of these new tools involves simply preprocessing the signal by a unitary transformation, performing standard processing techniques on the transformed signal, and then (in some cases) transforming the resulting output. The resulting unitarily equivalent systems can focus on the critical signal characteristics in large classes of signals and, hence, prove useful for representing and processing signals that are not well matched by current techniques. As specific examples of this procedure, we generalize linear time-invariant systems, orthonormal basis and frame decompositions, and joint time-frequency and time-scale distributions. These applications illustrate the utility of the unitary equivalence concept for uniting seemingly disparate approaches proposed in the literature.
dc.language.iso eng
dc.subjectunitary transformation
signal analysis
dc.subject.otherTime Frequency and Spectral Analysis
dc.title Unitary Equivalence: A New Twist on Signal Processing
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle IEEE Transactions on Signal Processing 2006-07-24
dc.contributor.orgDigital Signal Processing (
dc.subject.keywordunitary transformation
signal analysis
dc.citation.volumeNumber 43
dc.citation.issueNumber 10
dc.type.dcmi Text
dc.type.dcmi Text
dc.citation.firstpage 2269
dc.citation.lastpage 2282

Files in this item


This item appears in the following Collection(s)

  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1445]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

Show simple item record