Abstract

One-dimensional total variation (TV) regularization can be used for signal denoising. We consider one-dimensional signals distorted by additive white Gaussian noise. TV regularization minimizes a functional consisting of the sum of fidelity and regularization terms. We derive exact solutions to one-dimensional TV regularization problem that help us to recover signals with the proposed algorithm. The proposed approach to finding exact solutions has a clear geometrical meaning. Computer simulation results are provided to illustrate the performance of the proposed algorithm for signal denoising.

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