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Doc/main.tex

@@ -42,14 +42,14 @@
     \lipsum[3-4]
 
 
-  \section{Methodology}
+  \section{Methodology} \label{section:methodology}
     To characterize the system, several tests have been performed. The 
     characteristics of interest are the following:
     \begin{enumerate}[nosep]
         \item Efficiency
         \item Noise
         \item Ripple characteristics
-        \item Transients
+        \item Start up
     \end{enumerate}
     In this section a test or measurement will be described for each of the above 
     characteristics.
@@ -60,7 +60,7 @@
     were chosen to give characterize the circuit over a broad range of conditions.
 
 
-  \subsection{Efficiency}
+  \subsection{Efficiency} \label{section:efficiency}
     \begin{Figure}
       \centering
       \includegraphics[scale=0.34]{SCHEMATIC_EFFICIENCY.png}
@@ -94,11 +94,11 @@
 
   \subsubsection{Peak to peak}\label{section:peak_to_peak}
     Peak to peak is the simplest way to look at noise. The signal has a stationary
-    mean over the period of 1 millisecond. Thus the highest measured value can be
+    mean over the period of 1 millisecond. Thus, the highest measured value can be
     subtracted from the lowest measured value.
 
 
-  \subsubsection{Standard Deviation}
+  \subsubsection{Standard Deviation}\label{section:standard_devation}
     The second metric used to measure noise was the standard deviation. 
     Unlike, peak to peak it givesa better impression of the noise over a longer 
     signal. SD can be calculated using equation \ref{eq:sd}.
@@ -111,7 +111,8 @@
     Where $x[i]$ is each voltage measurement, $\mu$ is the mean of the signal and
     $N$ is the total amount of samples.
 
-    \subsection{Ripple characteristics}
+
+  \subsection{Ripple characteristics}
     \begin{Figure}
       \centering
       \includegraphics[scale=0.5]{RIPPLE.png}
@@ -130,7 +131,7 @@
     section \ref{section:peak_to_peak}.
 
     To measure the frequency of the signal using an FFT, it had to be pre-processed 
-    first using a Hamming window this eliminates sharp edges at the edge of the 
+    first using a Hamming window, this eliminates sharp edges at the edge of the 
     measurement, causing unwanted frequencies to appear in the frequency domain. 
     \begin{equation} 
       \label{eq:hamming}
@@ -141,12 +142,67 @@
     sample in the signal can be multiplied by the corresponding value in the window,
     preparing the signal for the FFT.
 
-    \subsection{Transients}
-    The last measurements were hocus pocus
+
+  \subsection{Start up}
+    The last characteristics is the start up, specifically the different rise times
+    under load. The voltage was measured at the output as the supply was turned on.
+
+    Different rise times can be defined. First off, $\tau$ and $2 \tau$ were
+    defined as $63\%$ and $95\%$ respectively. Further more, 'rise time' was defined
+    as $90\%$, a metric used often in control theory. 
+
+    One problem that occured during the measurements, is that the aforementioned 
+    ripples and noise would cause erroneous readings. As such, the signal was
+    filtered using a low pass filter, reducing the high frequencies from the 
+    measurement. 
+
 
   \section{Results}
-  \lipsum[1-2]
+    In this section the results from section \ref{section:methodology} will be 
+    discussed, as well as discuss some probable causes for unknown or unintended 
+    results.
 
+    
+  \subsection{Efficiency}
+    \begin{Figure}
+      \centering
+      \includegraphics[scale=0.5]{EFFICIENCY_PERCENTAGE.jpg}
+      \captionof{figure}{WIP}
+      \label{fig:efficiency}
+    \end{Figure}
+    \noindent The results for the efficiency measurements, as described in section 
+    \ref{section:efficiency} are displayed in figure \ref{fig:efficiency}. 
+    The $7V$ measurements follow a predictable curve, however, the $3.3V$ makes
+    an unexplained jump back to a higher percentage.
+
+
+  \subsection{Noise}
+    \begin{Figure}
+      \centering
+      \includegraphics[scale=0.5]{SNR_LOADVSPKPK.jpg}
+      \captionof{figure}{WIP}
+      \label{fig:noise_pkpk}
+    \end{Figure}
+    \noindent The results for the efficiency measurements, as described in section 
+    \ref{section:peak_to_peak} are displayed in figure \ref{fig:noise_pkpk}.
+    The peak to peak voltage is a significant fraction of the output voltage,
+    with $3V$ peaking at $33\%$. It seems there is a relation between peak to
+    peak voltage and the output voltage as well, as $7V$ has more noise than
+    $3.3V$
+    
+    \begin{Figure}
+      \centering
+      \includegraphics[scale=0.5]{SNR_LOADVSSD.jpg}
+      \captionof{figure}{WIP}
+      \label{fig:noise_sd}
+    \end{Figure}
+    \noindent The results for the efficiency measurements, as described in section 
+    \ref{section:standard_devation} are displayed in figure \ref{fig:noise_sd}.
+    Although the voltage peaks are high, the noise's standard deviation is in the
+    range of millivolts. The trend that a higher output voltage has more noise
+    is continued in this graph.
+
+  \subsection{Ripple}
 
   \section{Conclusion}
   \lipsum[3-4]