A sharpened dynamic range of a generalized Chinese remainder theorem for multiple integers

Huiyong Liao*, Xiang Gen Xia

*Corresponding author for this work

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Abstract

A generalized Chinese remainder theorem (CRT) for multiple integers from residue sets has been studied recently, where the remainders in a residue set are not ordered. In this correspondence, we first propose a majority method and then based on the proposed majority method we present a sharpened dynamic range of multiple integers that can be uniquely determined from their residue sets.

Original languageEnglish
Pages (from-to)428-433
Number of pages6
JournalIEEE Transactions on Information Theory
Volume53
Issue number1
DOIs
Publication statusPublished - Jan 2007
Externally publishedYes

Keywords

  • Chinese remainder theorem (CRT)
  • Frequency determination from multiple undersampled waveforms
  • Phase unwrapping
  • Residue sets
  • Sensor networks

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Liao, H., & Xia, X. G. (2007). A sharpened dynamic range of a generalized Chinese remainder theorem for multiple integers. IEEE Transactions on Information Theory, 53(1), 428-433. https://doi.org/10.1109/TIT.2006.887088