DocumentCode :
495
Title :
A Class of Algorithms for Time-Frequency Multiplier Estimation
Author :
Olivero, Anaik ; Torresani, Bruno ; Kronland-Martinet, Richard
Author_Institution :
Lab. d´Anal., Topologie et Probabilites, Aix-Marseille Univ., Marseille, France
Volume :
21
Issue :
8
fYear :
2013
fDate :
Aug. 2013
Firstpage :
1550
Lastpage :
1559
Abstract :
We propose here a new approach together with a corresponding class of algorithms for offline estimation of linear operators mapping input to output signals. The operators are modeled as multipliers, i.e., linear and diagonal operator in a frame or Bessel representation of signals (like Gabor, wavelets ...) and characterized by a transfer function. The estimation problem is formulated as a regularized inverse problem, and solved using iterative algorithms, based on gradient descent schemes. Various estimation problems, which differ by a choice for the regularization function, are studied in the case of Gabor multipliers. The transfer function actually provides a meaningful interpretation of the differences between the two signals or signal classes under consideration, and examples are discussed. Furthermore, examples of signal transformations with such Gabor transfer functions are also given.
Keywords :
iterative methods; transfer functions; Bessel representation; Gabor multipliers; Gabor transfer function; diagonal operator; gradient descent scheme; iterative algorithm; offline estimation; regularization function; regularized inverse problem; time frequency multiplier estimation; Analysis/transformation/synthesis; frame multipliers; frame representations;
fLanguage :
English
Journal_Title :
Audio, Speech, and Language Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1558-7916
Type :
jour
DOI :
10.1109/TASL.2013.2255274
Filename :
6490017
Link To Document :
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