Book Review: Time-frequency and time-scale methods
نویسندگان
چکیده
منابع مشابه
Time - frequency and time - scale methods
and the corresponding inversion formula analyze the frequency content of f . Underlying many finer decompositions into simpler pieces are the fundamental invariance properties of R and the corresponding operators. For harmonic analysis on R these are the translations t → t+x and the dilations t → at, where t, x ∈ R and a ∈ R. The corresponding operators are the translation operator Tx (2) Txf(t...
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We study local deformations of time-frequency and timescale representations, in the framework of the so-called reassignment methods, which aim at deblurringg time-frequency representations. We focus on deformations generated by appropriate vector elds deened on time-frequency or time scale plane, and constructed on the basis of geometric and group-theoretical arguments. Such vector elds may be ...
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Current multimedia technologies call for efficient ways of representing signals. We review several efficient methods for signal representation, emphasizing potential applications in signal compression and denoising. We pay special attention to the representations which are adapted to “non-stationary” features of signals, in particular the classes of bilinear representations, and their approxima...
متن کاملCanonical time-frequency, time-scale, and frequency-scale representations of time-varying channels
Mobile communication channels are often modeled as linear time-varying filters or, equivalently, as time-frequency integral operators with finite support in time and frequency. Such a characterization inherently assumes the signals are narrowband and may not be appropriate for wideband signals. In this paper time-scale characterizations are examined that are useful in wideband time-varying chan...
متن کامل4. Methods of Distributing Time and Frequency: A Review
Precise time and frequency information plays an increasingly important role in many areas of science and technology. Examples include high-speed digital communications, aircraft navigation, and wide-area computer networks. This paper outlines some of the methods that are currently used to distribute time and frequency information, and discusses how these techniques are likely to evolve in the n...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 2006
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-06-01129-3