1993
DOI: 10.1109/82.242339
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Fast discrete extrapolation via the fast Hartley transform

Abstract: Absfracf-In this paper, a fast algorithm for the Papoulis's and Gerchberg's iterative extrapolation by using the Hartley transform (FHT) is presented. The low-pass filtering in the iterative procedure can be implemented by the FHT directly instead of the fast Fourier transform (FFT) and the inverse FFT. The Sabri's example demonstrates the FHT's approach is simple to use.

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Cited by 6 publications
(1 citation statement)
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“…Among all, the Papoulis-Gerchberg algorithm is famous that the transformation between the time and frequency domains iteratively to recover the lost samples [1]. In addition, because of fast computation for the Papoulis-Gerchberg algorithm, the algorithm with fast Hartley transform is proposed to replace fast Fourier transform in the Papoulis-Gerchberg algorithm [5]. However, it can be proved to solve the Papoulis-Gerchberg algorithm by use of a set of linear equations [2].…”
Section: Introductionmentioning
confidence: 99%
“…Among all, the Papoulis-Gerchberg algorithm is famous that the transformation between the time and frequency domains iteratively to recover the lost samples [1]. In addition, because of fast computation for the Papoulis-Gerchberg algorithm, the algorithm with fast Hartley transform is proposed to replace fast Fourier transform in the Papoulis-Gerchberg algorithm [5]. However, it can be proved to solve the Papoulis-Gerchberg algorithm by use of a set of linear equations [2].…”
Section: Introductionmentioning
confidence: 99%