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The lognormal model of the multipath fading channel

Description

The dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The lognormal fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.

The term large-scale fading denotes the variations of the mean envelope or mean power of a received signal. Lognormal statistics can describe the slow variation of the mean signal level for outdoor and indoor environments. This phenomenon is referred to as shadowing from terrain, trees and buildings. The lognormal distribution is usually used to represent the long-term characteristics of the mobile radio channel.

The mean envelope level of the received signal is defined by Equation (1). The distribution of this variable, called the lognormal variable, is given by Equations (2). Its expected value and variance are expressed by Equations (3) and (4), respectively. The normal logarithm of the lognormal variable has a normal distribution. The lognormal processes can be derived through the nonlinear transformation of the lognormal variable that specifies the model applied in the MCS (Equations 5).

The MCS provides a general approach to numerically approximating the distribution function for the value of the output quantity Y(t) = f(X) (where Y(t) is a single (scalar) output quantity. X represents the N input quantities (X1(t), . . . ,XN(t))T .

The inputs to the Monte Carlo simulation procedure are:

- the model Y(t) = f(X),

- the probability density functions for input quantities X1(t), . . . ,XN (t),

- the number M of Monte Carlo trials.

X1(t)= N(t) are is Gaussian random process with expected value equal to 0 and variance equal to 1, i.e. N(0,1). The number of Monte Carlo trials is equal to 100 000. The exemplary simulation results obtained with the virtual simulator designed in the LabVIEW programming environment are shown in Fig. 1.

The simulations were carried out for both different standard deviation values and the mean of the normal logarithm of the lognormal variable.

The attached files contain two columns related to fading envelope: the number of samples and the amplitude of fading envelope in [dB] and two columns related to the histogram: the number of bins and the histogram results in percents of total amplitude. Files can be opened in both the LabVIEW software and Windows Office Notepad.

The files are described as follows: MCS_lognorm_the mean value_the standard deviation.

 

 

Illustration of the publication
Illustration of the publication

Dataset file

MCS_lognorm.zip
10.9 MB, S3 ETag 9429b94f7e34439d7bffd40022bb21bc-1, downloads: 88
The file hash is calculated from the formula
hexmd5(md5(part1)+md5(part2)+...)-{parts_count} where a single part of the file is 512 MB in size.

Example script for calculation:
https://github.com/antespi/s3md5
download file MCS_lognorm.zip

File details

License:
Creative Commons: by-nc 4.0 open in new tab
CC BY-NC
Non-commercial

Details

Year of publication:
2021
Verification date:
2021-05-31
Creation date:
2021
Dataset language:
English
Fields of science:
  • information and communication technology (Engineering and Technology)
DOI:
DOI ID 10.34808/00nm-jp78 open in new tab
Series:
Verified by:
Gdańsk University of Technology

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