Title :
Diophantine Frequency Synthesis A Number Theory Approach to Fine Frequency Synthesis
Author :
Sotiriadis, Paul P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD
Abstract :
Diophantine frequency synthesis is a new approach to fine-step, fast-hopping, low-spurs frequency synthesis that is based on mathematical properties of integer numbers and linear Diophantine equations. Diophantine frequency synthesis overcomes the constraining relation between frequency step and phase-comparator frequency inherent in conventional phase-locked loops. It leads to fine-step, fast-hopping, modular-structured frequency synthesizers with potentially very low spurs, especially in the vicinity of the carrier
Keywords :
frequency synthesizers; number theory; Diophantine frequency synthesis; fast-hopping frequency synthesis; fine frequency synthesis; fine-step frequency synthesis; integer numbers; linear Diophantine equations; low-spurs frequency synthesis; number theory; Artificial satellites; Atomic clocks; Bandwidth; Equations; Frequency synthesizers; Instruments; Phase frequency detector; Phase locked loops; Timing; Tin;
Conference_Titel :
International Frequency Control Symposium and Exposition, 2006 IEEE
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0074-0
Electronic_ISBN :
1-4244-0074-0
DOI :
10.1109/FREQ.2006.275350
