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Article Dans Une Revue Signal Processing Année : 2018

On the reconstruction of nonsparse time-frequency signals with sparsity constraint from a reduced set of samples

Cornel Ioana
Miloš Daković

Résumé

Nonstationary signals, approximately sparse in the joint time-frequency domain, are considered. Reconstruction of such signals with sparsity constraint is analyzed in this paper. The short-time Fourier transform (STFT) and time-frequency representations that can be calculated using the STFT are considered. The formula for error caused by the nonreconstructed coefficients is derived and presented in the form of a theorem. The results are examined statistically on examples.
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Dates et versions

hal-01969998 , version 1 (04-01-2019)

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Isidora Stankovic, Cornel Ioana, Miloš Daković. On the reconstruction of nonsparse time-frequency signals with sparsity constraint from a reduced set of samples. Signal Processing, 2018, 142, pp.480-484. ⟨10.1016/j.sigpro.2017.07.036⟩. ⟨hal-01969998⟩
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