Chaotic behaviour of first order zero crossing digital phase locked loop

Author

Nasir, Qassim

Author_Institution

Dept. of Electr. Eng. & Comput. Eng., Univ. of Sharjah

Volume

2

fYear

2004

fDate

6-9 Dec. 2004

Firstpage

977

Abstract

The main objective of this paper is to analyze nonuniform zero crossing digital phase locked loop (ZCDPLL) in the unstable (non-convergent) region of its operation. The non-linear behaviour of ZCDPLL shows period doubling or bifurcation instabilities to its route to chaos. The loop has two or more fixed points and the chaos behaviour depends primarily on the values of gain in the loop filter and input frequency offset from the locking value. The chaotic behaviour has been confirmed through the use of phase error spectrum, bifurcation diagram and Lyapunov exponent

Keywords

Lyapunov methods; bifurcation; chaos; circuit bistability; digital phase locked loops; Lyapunov exponent; bifurcation diagram; bifurcation instability; chaos behaviour; chaotic behaviour; first order digital PLL; frequency offset; loop filter; nonconvergent region; nonlinear behaviour; period doubling; phase error spectrum; unstable region; zero crossing digital phase locked loop; Bifurcation; Chaos; Chaotic communication; Communication system control; Digital control; Digital-controlled oscillators; Filters; Frequency; Phase locked loops; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2004. Proceedings. The 2004 IEEE Asia-Pacific Conference on

Conference_Location

Tainan

Print_ISBN

0-7803-8660-4

Type

conf

DOI

10.1109/APCCAS.2004.1413044

Filename

1413044