Multifilter Phase-Lock Loop Nonlinear Analysis and Design Criterion

Author

Henry, Robert R. ; Carden, Frank F.

Author_Institution

Communications Research Group, Dept. of Electr. Eng., New Mexico State Univ., Las Cruces, NM, USA

Volume

21

Issue

2

fYear

1973

fDate

2/1/1973 12:00:00 AM

Firstpage

135

Lastpage

142

Abstract

In this paper a nonlinear analysis of a multifilter phase-lock loop (MPLL) by using the method of "harmonic balance" is presented. The particular MPLL considered has a low-pass filter and a bandpass filter in parallel. An analytic expression for the relationship between the input signal phase deviation and the phase error is determined for sinusoidal FM in the absence of noise. The expression is used to determine bounds on the proper operating region for the MPLL and to investigate the "jump phenomenon" previously observed. From these results the proper modulation index, modulating frequency, etc., used for the design of an MPLL is determined. Data for the loop unlock boundary obtained from the theoretical expression are compared to data obtained from analog computer simulations of the MPLL.

Keywords

FM demodulation; PLLs; Phase-locked loop (PLL); Analog computers; Band pass filters; Computational modeling; Computer simulation; Frequency modulation; Harmonic analysis; Low pass filters; Phase noise; Power harmonic filters; Signal analysis;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOM.1973.1091627

Filename

1091627