Interpolation procedure with jitter of Gaussian process at the output of the time varying system

Authors:
V. A. Kazakov;J. A. Medina
Affiliations:
Department of Telecommunications, National Politechnic Institute of Mexico, Mexico D.F., Mexico;Department of Telecommunications, National Politechnic Institute of Mexico, Mexico D.F., Mexico
Venue:
ICAI'08 Proceedings of the 9th WSEAS International Conference on International Conference on Automation and Information
Year:
2008

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Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations

IEEE Transactions on Signal Processing

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Abstract

We consider a non stationary Gaussian process formed at the output of a time varying system driven by white noise. The system is the usual RC integrated circuit. The main parameter of this system has a harmonic change. On the basis of the conditional mean rule we analyze Sampling Reconstruction Procedure (SRP) with jitter of the output process. The model of jitter is described by the beta distribution. The reconstruction algorithm is the interpolation. We obtain one of the principal SRP characteristics the error reconstruction function, when the reconstruction function is optimal.