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

fYear

2006

fDate

38869

Firstpage

48

Lastpage

53

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/FREQ.2006.275350

Filename

4053728