On a ratio of functions of exponential random variables and some applications

Authors:
Ramesh Annavajjala;A. Chockalingam;Saif. K. Mohammed
Affiliations:
Mitsubishi Electric Research Laboratories, Cambridge, MA;Electrical Communication Engineering Department at the Indian Institute of Science, Bangalore, India;Electrical Communication Engineering Department at the Indian Institute of Science, Bangalore, India
Venue:
IEEE Transactions on Communications
Year:
2010

Citing 2
Cited 0

Effect of noise imbalance on dual-MRC over Rayleigh fading channels

IEEE Transactions on Wireless Communications
Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates

IEEE Transactions on Information Theory

Quantified Score

Hi-index	0.01

Visualization

Abstract

Consider L independent and identically distributed exponential random variables (r.vs) X1, X2, ...,XL and positive scalars b1, b2, ..., bL. In this letter, we present the probability density function (pdf), cumulative distribution function and the Laplace transform of (the pdf of the composite r.v Z = (Σj=1L Xj)2 / (Σj=1LbjXj). We show that the r.v Z appears in various communication systems such as i) maximal ratio combining of signals received over multiple channels with mismatched noise variances, ii) M-ary phase-shift keying with spatial diversity and imperfect channel estimation, and iii) coded multi-carrier code-division multiple access reception affected by an unknown narrow-band interference, and the statistics of the r.v Z derived here enable us to carry out the performance analysis of such systems in closed-form.