Title :
The Largest Dynamic Range of a Generalized Chinese Remainder Theorem for Two Integers
Author :
Wei Wang ; Xiaoping Li ; Xiang-Gen Xia ; Wenjie Wang
Author_Institution :
Coll. of Inf. Eng., Tarim Univ., Alar, China
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 :
number theory; set theory; generalized Chinese remainder theorem; largest dynamic range determintion; nonnegative integers; Discrete Fourier transforms; Dynamic range; Educational institutions; Heuristic algorithms; Imaging; Nickel; Signal processing algorithms; Chinese remainder theorem; dynamic range; frequency determination from undersampled waveforms; residue sets;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2014.2322200
