Signal recovery from thresholded frame measurements

Holger Boche; Mijail Guillemard; Gitta Kutyniok; Friedrich Philipp

doi:10.1117/12.2022793

26 September 2013 Signal recovery from thresholded frame measurements

Holger Boche, Mijail Guillemard, Gitta Kutyniok, Friedrich Philipp

Proceedings Volume 8858, Wavelets and Sparsity XV; 88580D (2013) https://doi.org/10.1117/12.2022793
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

We study the exact recovery of signals from quantized frame coefficients. Here, the basis of the quantization is hard thresholding, and we present a simple algorithm for the recovery of reconstructable signals. The set of non-reconstructable signals is shown to be star-shaped and symmetric with respect to the origin. Moreover, we provide a criterion on the frame for the boundedness of this set. In this case, we also give a priori bounds.

Citation Download Citation

Holger Boche, Mijail Guillemard, Gitta Kutyniok, and Friedrich Philipp "Signal recovery from thresholded frame measurements", Proc. SPIE 8858, Wavelets and Sparsity XV, 88580D (26 September 2013); https://doi.org/10.1117/12.2022793

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