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

被引：3

作者：

Jang, Chulhee ^{[1
,2
]}

Lee, Jae Hong ^{[1
,2
]}

机构：

[1] Seoul Natl Univ, Dept Elect Engn, Seoul 151742, South Korea

[2] Seoul Natl Univ, Inst New Media & Commun, Seoul 151742, South Korea

来源：

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY | 2013年 / 62卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Cooperative spectrum sensing; discrete random variable; sum of independent and identically distributed (i.i.d.) random variables; COGNITIVE RADIO; DESIGN;

D O I：

10.1109/TVT.2012.2228678

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1383 / 1389

页数：8

共 20 条

[1] Cooperative Communications for Cognitive Radio Networks [J].

Ben Letaief, Khaled ;

Zhang, Wei .

PROCEEDINGS OF THE IEEE, 2009, 97 (05) :878-893

[2] Cooperative communications with outage-optimal opportunistic relaying [J].

Bletsas, Aggelos ;

Shin, Hyundong ;

Win, Moe Z. .

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2007, 6 (09) :3450-3460

[3]

Boyd S., 2004, CONVEX OPTIMIZATION, VFirst, DOI DOI 10.1017/CBO9780511804441

[4] Cooperative Sensing With Imperfect Reporting Channels: Hard Decisions or Soft Decisions? [J].

Chaudhari, Sachin ;

Lunden, Jarmo ;

Koivunen, Visa ;

Poor, H. Vincent .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2012, 60 (01) :28-38

[5]

CHRISTIANO J.G., 1964, MATH MAG, V4, P215

[6] On the distribution of the sum of Nakagami-m random variables [J].

Dharmawansa, Prathapasinghe ;

Rajatheva, Nandana ;

Ahmed, Kazi .

IEEE TRANSACTIONS ON COMMUNICATIONS, 2007, 55 (07) :1407-1416

[7] On the energy detection of unknown signals over fading channels [J].

Digham, Fadel F. ;

Alouini, Mohamed-Slim ;

Simon, Marvin K. .

IEEE TRANSACTIONS ON COMMUNICATIONS, 2007, 55 (01) :21-24

[8]

Duan DL, 2012, INT CONF ACOUST SPEE, P3677, DOI 10.1109/ICASSP.2012.6288714

[9] Cooperative Diversity of Spectrum Sensing for Cognitive Radio Systems [J].

Duan, Dongliang ;

Yang, Liuqing ;

Principe, Jose C. .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (06) :3218-3227

[10] Cooperative spectrum sensing in cognitive radio, part I: Two user networks [J].

Ganesan, Ghurumuruhan ;

Li, Ye .

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2007, 6 (06) :2204-2213

← 1 2 →