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 dab 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 bath on simulated and real data.
Identification of discontinuities in blurred noisy signals / Bruni, Carlo; DE SANTIS, Alberto; G., Koch; C., Sinisgalli. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - STAMPA. - 44:5(1997), pp. 422-434. [10.1109/81.572338]
Identification of discontinuities in blurred noisy signals
BRUNI, Carlo;DE SANTIS, Alberto;
1997
Abstract
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 dab 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 bath on simulated and real data.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.