MGF Based Analysis of Area under the ROC Curve in Energy Detection

Author

Atapattu, Saman ; Tellambura, Chintha ; Jiang, Hai

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada

Volume

15

Issue

12

fYear

2011

fDate

12/1/2011 12:00:00 AM

Firstpage

1301

Lastpage

1303

Abstract

The area under the receiver operating characteristic (ROC) curve (AUC), an important performance measure of the energy detector, is derived for Nakagami-m and η-μ fading channels. The analysis is based on the moment generating function (MGF) of the received signal-to-noise ratio (SNR). The derived closed-form expressions do not include special functions, thus reducing computational issues. The analytical framework can also be applied in cases with other fading channels, with diversity reception, or with cooperative spectrum sensing.

Keywords

Nakagami channels; channel coding; cooperative communication; diversity reception; probability; radio receivers; radio spectrum management; signal detection; η-μ fading channels; MGF; Nakagami-m channels; ROC curve; cooperative spectrum sensing; diversity reception; energy detection; moment generating function; receiver operating characteristic; signal to noise ratio; Detectors; Rayleigh channels; Signal to noise ratio; Wireless communication; Wireless sensor networks; Area under ROC curve (AUC); energy detection; moment generating function (MGF);

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2011.103111.111420

Filename

6078369