On a conjecture of J. L. C. Sanz and T. S. Huang

In [1] J. L. C. Sanz and T. S. Huang conjectured that the DFT implementation of the Papoulis-Gerchberg algorithm for the extrapolation of band-limited signals does approach the continuous extrapolation. In this respect we prove a result on the approximation of band-limited functions by trigonometric...

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Veröffentlicht in:	IEEE transactions on acoustics, speech, and signal processing speech, and signal processing, 1985-10, Vol.33 (5), p.1338-1341
Hauptverfasser:	Schlebusch, H.-J., Splettstosser, W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Circuit stability Circuit theory Design methodology Digital filters Digital signal processing Discrete Fourier transforms Extrapolation Finite impulse response filter Polynomials Transfer functions
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Zusammenfassung:	In [1] J. L. C. Sanz and T. S. Huang conjectured that the DFT implementation of the Papoulis-Gerchberg algorithm for the extrapolation of band-limited signals does approach the continuous extrapolation. In this respect we prove a result on the approximation of band-limited functions by trigonometric polynomials, simultaneously increasing its degree and the period-length. This will imply that the above conjecture is indeed true.
ISSN:	0096-3518
DOI:	10.1109/TASSP.1985.1164678