The largest dynamic range of a generalized Chinese remainder theorem for two integers

Wei Wang; Xiaoping Li; Xiang Gen Xia; Wenjie Wang

doi:10.1109/LSP.2014.2322200

The largest dynamic range of a generalized Chinese remainder theorem for two integers

Wei Wang^*, Xiaoping Li, Xiang Gen Xia, Wenjie Wang

^*Corresponding author for this work

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

23 Citations (Scopus)

Abstract

In this letter we determine the largest dynamic range within which any two nonnegative integers can be uniquely determined from their residues modulo a set of moduli. We also propose an efficient determination algorithm that extends a recent known result.

Original language	English
Article number	6810782
Pages (from-to)	254-258
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	22
Issue number	2
DOIs	https://doi.org/10.1109/LSP.2014.2322200
Publication status	Published - 1 Feb 2015
Externally published	Yes

Keywords

Chinese remainder theorem
dynamic range
frequency determination from undersampled waveforms
residue sets

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10.1109/LSP.2014.2322200

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title = "The largest dynamic range of a generalized Chinese remainder theorem for two integers",

abstract = "In this letter we determine the largest dynamic range within which any two nonnegative integers can be uniquely determined from their residues modulo a set of moduli. We also propose an efficient determination algorithm that extends a recent known result.",

keywords = "Chinese remainder theorem, dynamic range, frequency determination from undersampled waveforms, residue sets",

author = "Wei Wang and Xiaoping Li and Xia, {Xiang Gen} and Wenjie Wang",

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AU - Wang, Wei

AU - Li, Xiaoping

AU - Xia, Xiang Gen

AU - Wang, Wenjie

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N2 - In this letter we determine the largest dynamic range within which any two nonnegative integers can be uniquely determined from their residues modulo a set of moduli. We also propose an efficient determination algorithm that extends a recent known result.

AB - In this letter we determine the largest dynamic range within which any two nonnegative integers can be uniquely determined from their residues modulo a set of moduli. We also propose an efficient determination algorithm that extends a recent known result.

KW - Chinese remainder theorem

KW - dynamic range

KW - frequency determination from undersampled waveforms

KW - residue sets

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U2 - 10.1109/LSP.2014.2322200

DO - 10.1109/LSP.2014.2322200

M3 - Article

AN - SCOPUS:84907480698

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VL - 22

SP - 254

EP - 258

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 2

M1 - 6810782

ER -

The largest dynamic range of a generalized Chinese remainder theorem for two integers

Abstract

Keywords

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