Title :
Diophantine Frequency Synthesis The Mathematical Principles
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 and fast-hopping frequency synthesis that is based on mathematical properties of integer numbers and Diophantine equations. Diophantine frequency synthesis overcomes the constraining relationship 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 near the carrier.
Keywords :
frequency synthesizers; phase comparators; phase locked loops; diophantine equations; diophantine frequency synthesis; integer numbers; mathematical principles; mathematical properties; phase-comparator frequency; phase-locked loops; Atomic clocks; Bandwidth; Equations; Filters; Frequency synthesizers; Instruments; Phase locked loops; Signal resolution; Signal synthesis; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.378066
