Sharp rates of convergence for accumulated spectrograms
Inverse Problems, 2017•iopscience.iop.org
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.
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.
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.
iopscience.iop.org
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