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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Parameter estimation using compressed sensing under unknown-but-bounded noise

Autors:
Irina Len , Victoria Erofeeva , Граничин Олег Николаевич , Vlada Smetanina ,
Pages:
342–349
Annotation:

Standard compressed sensing (CS) theory typically assumes that noise is bounded in ℓ2 -norm (e.g., Gaussian). In practice, noise can be unknown-but-bounded (for example, in low-light imaging or MRI artifacts). In this work a new CS recovery algorithm for parameter estimation under unknown-but-bounded noise is proposed. Experiments on images with various non-Gaussian noises demonstrate that proposed method outperforms classical ℓ2 -constrained recovery.

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