Paper:
Convex 1-D Total Variation Denoising with Non-convex Regularization
I. W. Selesnick, A. Parekh, and I. Bayram. 
IEEE Signal Processing Letters, vol. 22, no. 2, pages 141-144, February 2015. 

This folder contains MATLAB software to accompany the above paper.
The software implements the algorithm and reproduces Example 1 in the paper.