Uncertainty principles for the Fourier and the short-time Fourier transforms
Copyright policy )Uncertainty principles for the Fourier and the short-time Fourier transforms
The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. In addition, we discuss an analog of the Donoho–Stark uncertainty principle and provide some estimates for the size of the essential support of the short-time Fourier transform.
Donoho-Stark uncertainty principle, Mathematics - Functional Analysis, Beurling's theorem, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, 42B10, 94A12, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Functional Analysis (math.FA)
Donoho-Stark uncertainty principle, Mathematics - Functional Analysis, Beurling's theorem, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, 42B10, 94A12, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Functional Analysis (math.FA)
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