Sum of Discrete i.i.d. Random Variables and Its Application to Cooperative Spectrum Sensing

Author

Chulhee Jang ; Jae Hong Lee

Author_Institution

Dept. of Electr. Eng., Seoul Nat. Univ., Seoul, South Korea

Volume

62

Issue

3

fYear

2013

fDate

Mar-13

Firstpage

1383

Lastpage

1389

Abstract

In this paper, we derive the probability mass function (PMF) and the cumulative mass function (CMF) of the sum of discrete independent and identically distributed random variables. As an application of the PMF and CMF, we analyze the missed-detection, false-alarm, and overall error probabilities of cooperative spectrum sensing with any numbers of quantization levels and any quantization thresholds in a closed form. Computer simulation results match the analysis perfectly. In addition, centralized and distributed threshold selections are discussed.

Keywords

cooperative communication; error statistics; probability; quantisation (signal); radio spectrum management; random processes; CMF; PMF; centralized threshold selection; cooperative spectrum sensing; cumulative mass function; discrete i.i.d. random variable; discrete independent-and-identically distributed random variable; distributed threshold selection; error probability; false-alarm; missed-detection; probability mass function; quantization level; Computer simulation; Distributed algorithms; Error probability; Performance analysis; Quantization; Random variables; Sensors; Cooperative spectrum sensing; discrete random variable; sum of independent and identically distributed (i.i.d.) random variables;

fLanguage

English

Journal_Title

Vehicular Technology, IEEE Transactions on

Publisher

ieee

ISSN

0018-9545

Type

jour

DOI

10.1109/TVT.2012.2228678

Filename

6359878