Bounds on the distribution of a sum of independent lognormal random variables

被引：33

作者：

Ben Slimane, S ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Signals Sensors & Syst, Radio Commun Syst Grp, S-10044 Stockholm, Sweden

来源：

IEEE TRANSACTIONS ON COMMUNICATIONS | 2001年 / 49卷 / 06期

关键词：

cochannel interference; cumulative distribution function; lognormal random variable; lower bound; outage probability; shadow fading channels; upper bound;

D O I：

10.1109/26.930627

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：

The distribution function of a sum of lognormal random variables (RVs) appears in several communication problems. Approximations are usually used for such distribution as no closed form nor bounds exist, Bounds can be very useful in assessing the performance of any given system. In this letter, we derive upper and lower bounds on the distribution function of a sum of independent lognormal RVs, These bounds are given in a closed form and can be used in studying the performance of cellular radio and broadcasting systems.

引用

页码：975 / 978

页数：4

共 8 条

[1] OUTAGE PROBABILITIES IN THE PRESENCE OF CORRELATED LOGNORMAL INTERFERERS [J].

ABUDAYYA, AA ;

BEAULIEU, NC .

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1994, 43 (01) :164-173

[2] Estimating the distribution of a sum of independent lognormal random variables [J].

Beaulieu, NC ;

AbuDayya, AA ;

McLane, PJ .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1995, 43 (12) :2869-2873

[3]

BEAULIEU NC, 1994, SERVING HUMANITY THROUGH COMMUNICATIONS, VOLS 1-3, P1270, DOI 10.1109/ICC.1994.368899

[4] A statistical basis for lognormal shadowing effects in multipath fading channels [J].

Coulson, AJ ;

Williamson, AG ;

Vaughan, RG .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1998, 46 (04) :494-502

[5]

HO CL, 1995, IEEE T VEH TECHNOL, V44, P756

[6]

Papoulis A., 1984, Probability, Random Variables and Stochastic Processes, V2nd

[7] ON THE DISTRIBUTION FUNCTION AND MOMENTS OF POWER SUMS WITH LOG-NORMAL COMPONENTS [J].

SCHWARTZ, SC ;

YEH, YS .

BELL SYSTEM TECHNICAL JOURNAL, 1982, 61 (07) :1441-1462

[8] An unified numerical approach for computing the outage probability for mobile radio systems [J].

Tellambura, C ;

Annamalai, A .

IEEE COMMUNICATIONS LETTERS, 1999, 3 (04) :97-99

← 1 →