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Algorithm for reconstructing lost samples from oversampled signals

: Boche, H.; Protzmann, H.

Archiv für Elektronik und Übertragungstechnik : AEÜ 51 (1997), Nr.6, S.304-308
ISSN: 0001-1096
Fraunhofer HHI ()
iterative methods; parallel algorithms; signal reconstruction; signal sampling; oversampled signals; bandlimited signal; nyquist rate; iterative solution; parallel implementation; linear equations

A bandlimited signal sampled at a rate higher than the Nyquist rate can be reconstructed from its samples even when a finite number of samples is lost. This paper gives a solution to this problem which partially originates from Marks (1991). The solution described here is given in a parallel and a sequential (iterative) form. The parallel implementation requires the solution of a single system of linear equations. Some investigation into the numerical properties of this system is done and a numerical example is given.