Research Article
A Comprehensive Propagation Prediction Model
Comprising Microfacet Based Scattering and Probability
Based Coverage Optimization Algorithm
A. S. M. Zahid Kausar, Ahmed Wasif Reza, Lau Chun Wo, and Harikrishnan Ramiah
Department of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia
Correspondence should be addressed to Ahmed Wasif Reza; awreza98@yahoo.com
Received 13 February 2014; Revised 13 July 2014; Accepted 13 July 2014; Published 18 August 2014
Academic Editor: Nirupam Chakraborti
Copyright © 2014 A. S. M. Zahid Kausar et al. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Although ray tracing based propagation prediction models are popular for indoor radio wave propagation characterization, most
of them do not provide an integrated approach for achieving the goal of optimum coverage, which is a key part in designing wireless
network. In this paper, an accelerated technique of three-dimensional ray tracing is presented, where rough surface scattering is
included for making a more accurate ray tracing technique. Here, the rough surface scattering is represented by microfacets, for
which it becomes possible to compute the scattering feld in all possible directions. New optimization techniques, like dual quadrant
skipping (DQS) and closest object fnder (COF), are implemented for fast characterization of wireless communications and making
the ray tracing technique more efcient. In conjunction with the ray tracing technique, probability based coverage optimization
algorithm is accumulated with the ray tracing technique to make a compact solution for indoor propagation prediction. Te
proposed technique decreases the ray tracing time by omitting the unnecessary objects for ray tracing using the DQS technique and
by decreasing the ray-object intersection time using the COF technique. On the other hand, the coverage optimization algorithm
is based on probability theory, which fnds out the minimum number of transmitters and their corresponding positions in order to
achieve optimal indoor wireless coverage. Both of the space and time complexities of the proposed algorithm surpass the existing
algorithms. For the verifcation of the proposed ray tracing technique and coverage algorithm, detailed simulation results for
diferent scattering factors, diferent antenna types, and diferent operating frequencies are presented. Furthermore, the proposed
technique is verifed by the experimental results.
1. Introduction
Nowadays, indoor wireless communication becomes more
and more popular in communication feld. Because of
increasing demand in this feld, an efective propagation
prediction technique and optimized coverage algorithm are
required in order to support the demand by using the
minimum number of transmitters (
s) and at the same time
achieving the maximum indoor wireless coverage. Tough
there are a number of existing research works based on
ray tracing for propagation prediction [1–7], most of them
have not mentioned anything about the coverage. Terefore,
researchers are still in need of an efcient and integrated
method, which can serve for propagation prediction and
coverage optimization.
Te main problem for the ray tracing based propagation
prediction model is the ray-object intersection test. Tis test
consumed the most time and resources in a ray tracing
method [8, 9]. Intersection test is performed every time afer
a new ray is generated for fnding whether there is a ray-object
intersection or not. Hence, if all objects participate in this
test, the ray tracing time consumed will be extremely high.
To accelerate the ray tracing technique, various methods,
such as angular sectoring [10], KD-tree, octree, quadtree
[4, 5, 11], and a preprocessing method [8], are proposed.
However, the existing models, such as shooting and bouncing
ray (SBR) [4], bidirectional path tracing (BDPT) [12], brick
tracing (BT) [13], ray frustums (RF) [14], prior distance
measure (PDM) [8], and space division (SD) [15] techniques,
Hindawi Publishing Corporation
e Scientific World Journal
Volume 2014, Article ID 601729, 17 pages
http://dx.doi.org/10.1155/2014/601729