The Extrapolation of High-Dimensional Band-Limited Functions

Xing Wei Zhou; Xiang Gen Xia

doi:10.1109/29.35396

The Extrapolation of High-Dimensional Band-Limited Functions

Xing Wei Zhou
, Xiang Gen Xia

Nankai University

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In order to implement the Papoulis-Gerchberg algorithm for the extrapolation of one-dimensional band-limited signals, Sanz and Huang suggested a conjecture for the discrete approximation of the Papoulis-Gerchberg algorithm [1]. This conjecture has been proved [2], [3]. In this paper we extend the above problem to multidimensional band-limited signals. Thus, we obtain an extrapolation method for these signals.

Original language	English
Pages (from-to)	1576-1580
Number of pages	5
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	37
Issue number	10
DOIs	https://doi.org/10.1109/29.35396
Publication status	Published - Oct 1989
Externally published	Yes

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title = "The Extrapolation of High-Dimensional Band-Limited Functions",

abstract = "In order to implement the Papoulis-Gerchberg algorithm for the extrapolation of one-dimensional band-limited signals, Sanz and Huang suggested a conjecture for the discrete approximation of the Papoulis-Gerchberg algorithm [1]. This conjecture has been proved [2], [3]. In this paper we extend the above problem to multidimensional band-limited signals. Thus, we obtain an extrapolation method for these signals.",

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year = "1989",

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AB - In order to implement the Papoulis-Gerchberg algorithm for the extrapolation of one-dimensional band-limited signals, Sanz and Huang suggested a conjecture for the discrete approximation of the Papoulis-Gerchberg algorithm [1]. This conjecture has been proved [2], [3]. In this paper we extend the above problem to multidimensional band-limited signals. Thus, we obtain an extrapolation method for these signals.

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DO - 10.1109/29.35396

M3 - Article

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JO - IEEE Transactions on Acoustics, Speech, and Signal Processing

JF - IEEE Transactions on Acoustics, Speech, and Signal Processing

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ER -

The Extrapolation of High-Dimensional Band-Limited Functions

Abstract

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