Minor corrections

3 files changed, 6 insertions, 6 deletions

diff --git a/doc/thesis/Fading.tex b/doc/thesis/Fading.tex
index a5835f7..adc7911 100644
--- a/doc/thesis/Fading.tex
+++ b/doc/thesis/Fading.tex
@@ -176,25 +176,25 @@
 		GR     & GNU Radio                                        \\
 		GRC    & GNU Radio Companion                              \\
 		GSM    & Global System for Mobile communication           \\
-		IMGUI  & Immediate Graphical User Interface               \\
+		IMGUI  & Immediate Mode Graphical User Interface          \\
 		IP     & Internet Protocol                                \\
 		IR     & Impulse Response                                 \\
 		IoT    & Internet of Things                               \\
 		LMS-DD & Least Mean Square Decision-Directed equalizer    \\
-		LOS    & Line of Sight                                    \\
+		LOS    & Line Of Sight                                    \\
 		LTI    & Linear Time Invariant                            \\
 		LTV    & Linear Time-Varying                              \\
 		MSB    & Most Significant Bit                             \\
 		NLOS   & No Line Of Sight                                 \\
 		PDP    & Power Delay Profile                              \\
 		PSK    & Phase Shift Keying                               \\
-		QAM    & Quadrature Amplitude                             \\
+		QAM    & Quadrature Amplitude Modulation                  \\
 		QPSK   & Quadrature Phase Shift Keying                    \\
 		SDR    & Software Defined radio                           \\
 		UDP    & User Datagram Protocol                           \\
 		US     & Uncorrelated Scattering                          \\
 		WSS    & Wide Sense Stationary                            \\
-		WSSUS  & Wide Sense Stationary Uncorrelated Scaterring    \\
+		WSSUS  & Wide Sense Stationary Uncorrelated Scattering    \\
 		\bottomrule
 	\end{tabularx}
 
diff --git a/doc/thesis/chapters/implementation.tex b/doc/thesis/chapters/implementation.tex
index 9155b2e..7be0a1c 100644
--- a/doc/thesis/chapters/implementation.tex
+++ b/doc/thesis/chapters/implementation.tex
@@ -47,7 +47,7 @@ class myblock(gr.sync_block):
 
 \subsection{Dear PyGUI}\label{sec:GUI}
 
-To construct a graphical interface for a demonstration platform the Dear IMGUI (immediate graphical user interface) library was chosen, mainly for its ease of use, wide range of techincal capabilites and high refresh rate. Dear PyGUI (DPG) are the Python bindings for the Dear IMGUI library.
+To construct a graphical interface for a demonstration platform the Dear IMGUI (immediate mode graphical user interface) library was chosen, mainly for its ease of use, wide range of techincal capabilites and high refresh rate. Dear PyGUI (DPG) are the Python bindings for the Dear IMGUI library.
 
 The DPG GUI communicates with the GR flow graphs using the IP/UDP protocol. This decision to separate the project into two parts that communicate over the IP network was made because it is not very easy to extend the graphical interface of GRC without interfering with the sophisticated multi-threaded architecture of GR. Furthermore, this allows to have multiple correctly configure flow graph on disk and to choose which one to run and display on the graphical interface, instead of having a single flow graph whose parameters need to be changed each time.
 
diff --git a/doc/thesis/chapters/theory.tex b/doc/thesis/chapters/theory.tex
index 2015b5b..3b34736 100644
--- a/doc/thesis/chapters/theory.tex
+++ b/doc/thesis/chapters/theory.tex
@@ -133,7 +133,7 @@ The Hilbert transform is a linear operator that introduces a phase shift of \(\p
 Phase shift keying (PSK) is another popular family of modulation schemes for digital signals, that is however simpler than QAM. In PSK as the name suggests only the phase of the envelope changes, which means that the symbols have all the same amplitude. Thus, instead of arranging the symbols into a grid as done in QAM, \(M\)-PSK distributes the symbols over the unit circle at equidistant intervals of \(2\pi / M\) radians \cite{Mathis,Kneubuehler}. An example of 8-PSK is shown in \figref{fig:psk-constellation}. Mathematically the process of a PSK modulation can be described by making the phase of a carrier function of the message signal. For a complex exponential carrier:
 \begin{equation}
 	s(t) = \exp\left(\omega_c t + \varphi(t)\right), \quad\text{where}\quad
-	\varphi = \frac{2\pi \cdot \text{Level}(\vec{m}(t))}{M}, \vec{m} \in \{0,1\}^{M}.
+	\varphi = \frac{2\pi \cdot \text{Level}(\vec{m})}{M}, \quad \vec{m} \in \{0,1\}^{\log_2 M}.
 \end{equation}
 
 It is worth noting that the case of 4-PSK, also known as quaternary phase shift keying (QPSK), is a special case, because its constellation is (up to a constant phase) a 4-ary QAM.