Title :
A Sharpened Dynamic Range of a Generalized Chinese Remainder Theorem for Multiple Integers
Author :
Liao, Huiyong ; Xia, Xiang-Gen
Author_Institution :
Dept. of Electr. & Comput. Eng., Delaware Univ., Newark, DE
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
Keywords :
set theory; CRT; Chinese remainder theorem; generalized multiple integer; residue set; sharpened dynamic range; Cathode ray tubes; Cryptography; Digital signal processing; Dynamic range; Frequency; Image sensors; Military computing; Polynomials; Sensor phenomena and characterization; Synthetic aperture radar; Chinese remainder theorem (CRT); frequency determination from multiple undersampled waveforms; phase unwrapping; residue sets; sensor networks;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.887088