Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418390 | Journal of Mathematical Analysis and Applications | 2014 | 19 Pages |
Abstract
In this paper we analyze time-frequency representations in the Cohen class, i.e., quadratic forms expressed as a convolution between the classical Wigner transform and a kernel, with respect to uncertainty principles of local type. More precisely the results we obtain concerning the energy distribution of these representations show that a “too large” amount of energy cannot be concentrated in a “too small” set of the time-frequency plane. In particular, for a signal fâL2(Rd), the energy of a time-frequency representation contained in a measurable set M must be controlled by the standard deviations of |f|2 and |fË|2, and by suitable quantities measuring the size of M.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paolo Boggiatto, Evanthia Carypis, Alessandro Oliaro,