Start doc on fading channels

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 It is undeniable that in the last two decades modern wireless devices have become extremely ubiquitous, and are no longer employed under carefully chosen conditions.
 
-Nowadays smart phones and internet of things (IoT) devices are carried around by everyone and have to work in environments that are very far from ideal. Furthermore, next generation wireless devices in urban environments will also include vehicles (cars, buses and trains)\cite{AntonescuTB17}, where reliability of intra-vehicular communication directly translates into safety. Whereas in rural regions, developing countries as well as other low-user density areas wireless transmission links using mesh networks have become a practical alternative to wired broadband\cite{Macmillan2019tidal,Subramanian2006rethinking,Flickenger2007wireless}.
+Nowadays smart phones and internet of things (IoT) devices and many other wireless devices are carried around by everyone and have to work in environments that are very far from ideal. Furthermore in addition to the already large class of networked appliances, next generation wireless devices in urban environments will include the new category of vehicles \cite{AntonescuTB17}, where reliability of intra-vehicular communication directly translates into safety. While at the same time in rural regions, developing countries as well as other low-user density areas wireless transmission links using mesh networks have become a practical alternative to wired broadband \cite{Macmillan2019tidal,Subramanian2006rethinking,Flickenger2007wireless}.
 
-All of the mentioned cases have a common problem caused by \emph{the fading effect}, which degrade the reliability of the link\cite{Mathis}. This was foreseen\cite{Frederiksen2002overview,Maddocks1993introduction} and today most modern transmission schemes implement measures to reduce the effects fading\cite{Mathis,Hsu}.
+The study of problems concerning wireless devices is thus a very relevant topic today. More specifically, a common issue in the previously mentioned use cases is the so called \emph{multipath fading effect}, which degrade the reliability of the transmission link \cite{Mathis, Gallager}. The presence of fading was actually foreseen \cite{Frederiksen2002overview,Maddocks1993introduction} and today most modern transmission schemes implement measures to reduce the effects fading \cite{Mathis,Hsu}.
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+In this work we are going to study the multipath fading effect, and how it affects modern digital transmission systems that uses quadrature amplitude (QAM) and phase shift keying (PSK) modulation.
 
 \section{Task description}