Least Squares Quadratic (LSQ) Approximation to Lognormal Sum Distributions

Author

Zhao, Lian ; Ding, Jiu

Author_Institution

Dept. of Electr. & Comput. Eng., Ryerson Univ., Toronto, Ont.

Volume

6

fYear

2006

fDate

7-10 May 2006

Firstpage

2828

Lastpage

2832

Abstract

In this paper, least squares (LS) approximation approach is used to solve the approximation problem of a sum of lognormal random variables. It is shown that least squares quadratic (LSQ) approximation exhibits an excellent match with the simulation results in a wide range of the distributions of the summands. Using the coefficients obtained from the LSQ method, closed-form expressions for the cumulative distribution function (CDF) and the probability density function (pdf) for the sum random variable and its logarithm, are presented

Keywords

least squares approximations; log normal distribution; wireless channels; CDF; cumulative distribution function; least squares quadratic approximation; lognormal random variables; lognormal sum distributions; probability density function; sum random variable; Attenuation; Communication standards; Communication system control; Distribution functions; Gaussian distribution; Least squares approximation; Mathematics; Probability density function; Random variables; Shadow mapping;

fLanguage

English

Publisher

ieee

Conference_Titel

Vehicular Technology Conference, 2006. VTC 2006-Spring. IEEE 63rd

Conference_Location

Melbourne, Vic.

ISSN

1550-2252

Print_ISBN

0-7803-9391-0

Electronic_ISBN

1550-2252

Type

conf

DOI

10.1109/VETECS.2006.1683384

Filename

1683384