Modeling and analysis for the GPS pseudo-range observable

Author

Zhuang, Weihua ; Tranquilla, James

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

31

Issue

2

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

739

Lastpage

751

Abstract

In this paper, a digital system for the Global Positioning System (GPS) pseudo-range observable is modeled and analyzed theoretically. The observable is measured in a GPS receiver by accurately tracking the pseudorandom noise (PRN) code phase of the input GPS signal using a digital energy detector and a digital delay lock loop (DDLL). The following issues are presented: (1) mathematical modeling of the digital PRN code acquisition and tracking system, (2) the closed-form expression derivation for the detection and false-alarm probabilities of the acquisition process and for the variance of code phase tracking error, and (3) the linear and nonlinear performance analysis of the DDLL for optimizing the receiver structures and parameters with tradeoff between the tracking errors due to receiver dynamics and due to input noise.<>

Keywords

Global Positioning System; codes; delay circuits; digital communication; radio receivers; random noise; signal detection; tracking; GPS; GPS pseudo-range; GPS receiver; Global Positioning System; closed-form expression derivation; code phase; code phase tracking error; digital PRN code acquisition; digital delay lock loop; digital energy detector; false-alarm probabilities; input noise; linear performance analysis; mathematical modeling; nonlinear performance analysis; pseudorandom noise; receiver dynamics; receiver structures; tracking; tracking errors; Detectors; Digital systems; Energy measurement; Global Positioning System; Mathematical model; Noise measurement; Phase detection; Phase measurement; Phase noise; Tracking loops;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.381921

Filename

381921