Identification of discontinuities in blurred noisy signals
Carmelo Bruni, Alberto De Santis, Giorgio Koch, Carmela Sinisgalli · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1997
In this paper we address the problem of estimating the locations of discontinuities in blurred and noisy signals. The discontinuity parameters (location and size) are embodied in a model describing the signal regular and singular components. First, the well-posedness of the estimation problem, i.e., uniqueness and robustness of the solution, is established. Then data are processed by a smoothing multiscale resolution technique that, besides providing some noise filtering, enhances the effect of the discontinuities. Hence, a maximum-likelihood method is used for parameter estimation. Numerical results are obtained both on simulated and real data.