Robust and efficient filterbank structure for reconstruction form recurrent nonunifrom samples

M. Karthik, K.M.M. Prabhu, P.C.W. Sommen, B.B.A.J. Bloemendal

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Abstract

In this paper, we present a robust and efficient structure for the reconstruction of uniform samples of a signal from its recurrent nonuniform samples. This structure makes use of the synthesis part of a uniform discrete Fourier transform (DFT) modulated filterbank. The proposed structure is a refinement over an existing filterbank structure that utilizes the inverse of a nonuniform DFT matrix, the numerical stability of which cannot be guaranteed. The poor numerical stability of the inverse is overcome in a modified structure by inverting a preconditioned matrix having an improved numerically stable inverse. Necessary and sufficient conditions that ensure numerical stability of the preconditioned matrix inverse have been presented.
Original languageEnglish
Title of host publicationProceedings of the 18th European Signal Processing Conference (EUSIPCO 2010), 23-27 August 2010, Aalborg, Denmark
Place of PublicationZ.pl.
Publishers.n.
Pages1597-1601
Publication statusPublished - 2010

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    Karthik, M., Prabhu, K. M. M., Sommen, P. C. W., & Bloemendal, B. B. A. J. (2010). Robust and efficient filterbank structure for reconstruction form recurrent nonunifrom samples. In Proceedings of the 18th European Signal Processing Conference (EUSIPCO 2010), 23-27 August 2010, Aalborg, Denmark (pp. 1597-1601). Z.pl.: s.n..