• Corpus ID: 88522256

Signal Processing and Piecewise Convex Estimation

  title={Signal Processing and Piecewise Convex Estimation},
  author={Kurt S. Riedel},
  journal={arXiv: Methodology},
  • K. Riedel
  • Published 14 March 2018
  • Mathematics
  • arXiv: Methodology
Many problems on signal processing reduce to nonparametric function estimation. We propose a new methodology, piecewise convex fitting (PCF), and give a two-stage adaptive estimate. In the first stage, the number and location of the change points is estimated using strong smoothing. In the second stage, a constrained smoothing spline fit is performed with the smoothing level chosen to minimize the MSE. The imposed constraint is that a single change point occurs in a region about each empirical… 
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