Sharp rates of convergence for accumulated spectrograms. (23rd October 2017)

• Record Type: Journal Article
• Authors: Abreu, Luís Daniel; Pereira, João M; Romero, José Luis
• Is Part Of: Inverse problems. Volume 33:Number 11(2017:Nov.)
• Publication Date: 2017-10-23
• Subjects: Gabor -- time-frequency analysis -- localization operator -- uncertainty principle -- spectrogram -- phase-space; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa8d79
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We investigate an inverse problem in time-frequency localization: the approximation of the symbol of a time-frequency localization operator from partial spectral information by the method of accumulated spectrograms (the sum of the spectrograms corresponding to large eigenvalues). We derive a sharp bound for the rate of convergence of the accumulated spectrogram, improving on recent results.