Title :
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
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;
Journal_Title :
Vehicular Technology, IEEE Transactions on
DOI :
10.1109/TVT.2012.2228678
