4.6 Article

Wavelet Reconstruction of Nonuniformly Sampled Signals

Journal

IEEE SIGNAL PROCESSING LETTERS
Volume 16, Issue 1-3, Pages 73-76

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2008.2008939

Keywords

AIC; LARS; Lasso; wavelet

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For the reconstruction of a nonuniformly sampled signal based on its noisy observations, we propose a level dependent 11 penalized wavelet reconstruction method. The LARS/Lasso algorithm is applied to solve the Lasso problem. The data adaptive choice of the regularization parameters is based on the AIC and the degrees of freedom is estimated by the number of nonzero elements in the Lasso solution. Simulation results conducted on some commonly used I D test signals illustrate that the proposed method possesses good empirical properties.

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