Representation of Operators by Sampling in the Time-Frequency Domain
نویسندگان
چکیده
منابع مشابه
Representation of operators by sampling in the time-frequency domain
Gabor multipliers are well-suited for the approximation of certain time-variant systems. However, this class of systems is rather restricted. To overcome this restriction, multiple Gabor multipliers allowing for more than one synthesis windows are introduced. The influence of the choice of the various parameters involved on approximation quality is studied for both classical and multiple Gabor ...
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Representation of Operators in the Time-frequency Domain and Generalized Gabor Multipliers
Abstract. Starting from a general operator representation in the time-frequency domain, this paper addresses the problem of approximating linear operators by operators that are diagonal or band-diagonal with respect to Gabor frames. A characterization of operators that can be realized as Gabor multipliers is given and necessary conditions for the existence of (Hilbert-Schmidt) optimal Gabor mul...
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Starting from a general operator representation in the time-frequency domain, this paper addresses the problem of approximating linear operators by operators that are diagonal or band-diagonal with respect to Gabor frames. A characterization of operators that can be realized as Gabor multipliers is given and necessary conditions for the existence of (Hilbert-Schmidt) optimal Gabor multiplier ap...
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ژورنال
عنوان ژورنال: Sampling Theory, Signal Processing, and Data Analysis
سال: 2011
ISSN: 2730-5716,2730-5724
DOI: 10.1007/bf03549540