Added plot showing oscillation of estimate for bch 7 4

2023-01-25 04:24:25 +01:00 · 2023-01-25 04:24:25 +01:00 · 21e1c2375c
commit 21e1c2375c
parent d9d78a379e
3 changed files with 550 additions and 51 deletions
--- a/latex/presentations/midterm/res/proximal/comp_bch_7_4_combined.csv
+++ b/latex/presentations/midterm/res/proximal/comp_bch_7_4_combined.csv
@ -0,0 +1,201 @@
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--- a/latex/presentations/midterm/res/proximal/comp_bch_7_4_raw.csv
+++ b/latex/presentations/midterm/res/proximal/comp_bch_7_4_raw.csv
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+92,1.1207523853400432,0.9633461545385983,1.0555814679590458,0.8422417147287005,0.7517881116268252,-0.7303132983247098,-0.9536644362329453,1.1024268330128233,0.9363195352916789,1.0729497268210841,0.8667419720336945,0.7897676485919017,-0.7445323972779273,-0.9971443312133494,0.3665110465443977,0.5405323849383885,-0.34736517724076393,-0.4900051460998817,-0.7595907393015308,0.2843819790643498,0.8695978996080844,-0.36651014255692305,-0.5405351389341979,0.34736632257623357,0.49000426305383926,0.7595798952284226,-0.28440051978558545,-0.869597890967986
+93,1.120752342400638,0.9633462853533993,1.0555814135556112,0.8422417566733874,0.7517886267202978,-0.7303124176404511,-0.9536644366433499,1.1024267939625876,0.9363196544030299,1.0729496773452312,0.8667420108009384,0.789768116480132,-0.7445315960512756,-0.9971443315868631,0.36651096876100875,0.5405326190073874,-0.3473652757924011,-0.49000508255102027,-0.7595897951966846,0.28438356821649013,0.8695978988702637,-0.36651018775629685,-0.5405350012344075,0.34736626530946024,0.4900043072061413,0.759580437432078,-0.28439959274952364,-0.8695978913999909
+94,1.1207523053029143,0.9633463985091827,1.0555813665535507,0.8422417935022691,0.7517890712141166,-0.730311656475132,-0.9536644369981879,1.102426760224804,0.9363197574267208,1.0729496346002072,0.8667420447940105,0.7897685202728186,-0.7445309035763512,-0.9971443319097917,0.36651090156220567,0.5405328216492379,-0.3473653609331305,-0.49000502583482747,-0.7595889811740406,0.2843849420243856,0.8695978982320749,-0.36651022680653256,-0.5405348821230564,0.3473662158336073,0.49000434597338516,0.7595809053203083,-0.28439879152287195,-0.8695978917735045
+95,1.1207522732520196,0.9633464963816891,1.055581325945778,0.8422418257956876,0.7517894548171689,-0.7303109986239539,-0.9536644373049701,1.1024267310766567,0.9363198465287759,1.072949597670199,0.866742074564518,0.7897688687777688,-0.7445303051050691,-0.997144332188975,0.36651084350726015,0.5405329970582646,-0.3473654344884211,-0.4900049753766069,-0.7595882792119973,0.2843861296223049,0.8695978976800982,-0.36651026054431624,-0.5405347790993655,0.3473661730885833,0.4900043799664573,0.7595813091129949,-0.28439809904794755,-0.8695978920964331
+96,1.12075224556128,0.9633465810286413,1.0555812908622704,0.8422418540776698,0.7517897858968715,-0.7303104300762359,-0.9536644375701941,1.1024267058936976,0.9363199235849402,1.0729495657640284,0.8667421006081913,0.7897691695871071,-0.7445297878868368,-0.99714433243033,0.36651079335164505,0.5405331488740235,-0.34736549803516126,-0.49000493061042977,-0.7595876738047111,0.28438715621201727,0.8695978972027159,-0.36651028969246346,-0.5405346899973105,0.34736613615857515,0.4900044097369648,0.759581657617945,-0.28439750057666546,-0.8695978923756165
+97,1.1207522216374688,0.9633466542319975,1.055581260551408,0.8422418788191595,0.7517900716657429,-0.7303099387189151,-0.9536644377994814,1.1024266841364554,0.9363199902193134,1.0729495381981846,0.8667421233687349,0.7897694292461049,-0.744529340898506,-0.9971443326389748,0.3665107500202689,0.5405332802536809,-0.3473655529355296,-0.4900048909915094,-0.7595871516072413,0.2843880435918176,0.8695978967898677,-0.3665103148754225,-0.5405346129411461,0.34736610425240455,0.4900044357806381,0.7595819584272834,-0.2843969833584331,-0.8695978926169714
+98,1.1207522009680886,0.9633467175346521,1.0555812343638566,0.8422419004416758,0.7517903183417909,-0.7303095140800009,-0.9536644379976941,1.1024266653388672,0.936320047837895,1.0729495143821681,0.866742143241888,0.7897696533983634,-0.7445289546107378,-0.9971443328193366,0.3665107125844249,0.5405333939351402,-0.34736560036623026,-0.49000485600424487,-0.7595867011314503,0.28438881061473653,0.8695978964328499,-0.36651033663266475,-0.5405345463067729,0.3473660766865607,0.4900044585411817,0.7595822180862812,-0.2843965363701023,-0.8695978928256163
+99,1.12075218311038,0.9633467722723046,1.055581211738641,0.8422419193211713,0.7517905312864364,-0.7303091471066211,-0.9536644381690377,1.1024266490982888,0.9363200976577005,1.0729494938058304,0.8667421605795229,0.7897698469106992,-0.7445286207858874,-0.9971443329752442,0.366510680241824,0.5405334922920815,-0.3473656413437877,-0.49000482516703114,-0.7595863124852563,0.28438947358532696,0.8695978961241292,-0.3665103554302529,-0.5405344886881913,0.34736605287054423,0.4900044784143348,0.7595824422385397,-0.2843961500823341,-0.869597893005978
--- a/latex/presentations/midterm/sections/examination_results.tex
+++ b/latex/presentations/midterm/sections/examination_results.tex
@ -467,6 +467,203 @@ Output $\boldsymbol{\hat{x}}$
 \end{frame}


+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[t]
+    \frametitle{Proximal Decoding: Oscillation of Estimate}
+
+    \begin{itemize}
+        \item $\nabla L$ and $\nabla h$ generally end up in an equilibrium
+    \end{itemize}
+
+    \begin{figure}[H]
+        \centering
+    
+        \begin{subfigure}{\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.75]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_0]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_0]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_0]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}\\
+        \begin{subfigure}{0.33\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_1]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_1]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_1]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}%
+        \begin{subfigure}{0.33\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_2]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_2]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_2]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}%
+        \begin{subfigure}{0.32\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_3]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_3]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_3]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}\\
+        \begin{subfigure}{0.33\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_4]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_4]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_4]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}%
+        \begin{subfigure}{0.33\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_5]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_5]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_5]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}%
+        \begin{subfigure}{0.32\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.35]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={k},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_6]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_6]
+                            {res/proximal/comp_bch_7_4_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_6]
+                        {res/proximal/comp_bch_7_4_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+        \end{subfigure}%
+    \end{figure}
+\end{frame}
+
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %\newcommand{\tikzbracemark}[1]{\tikz[overlay,remember picture] \node (#1) {};}
 %
@ -580,57 +777,6 @@ Output $\boldsymbol{\hat{x}}$
 %\end{frame}


-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\begin{frame}[t]
-    \frametitle{Proximal Decoding: Average Error}
-    \setcounter{footnote}{0} 
-  
-    \begin{figure}[H]
-        \vspace*{-0.5cm}
-        \centering
-    
-        \begin{tikzpicture}[scale=0.7]
-            \begin{axis}[
-                grid=both,
-                xlabel={k},
-                ylabel={Average $\left| \boldsymbol{x}-\boldsymbol{\hat{x}} \right|$},
-            ]
-            \addplot table [col sep=comma,
-                            discard if not={omega}{0.0774263682681127},
-                            x=k, y=err, mark=none]
-                        {res/proximal/2d_avg_error_20433484_1db.csv};
-            \addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
-            \addplot table [col sep=comma,
-                            discard if not={omega}{0.0774263682681127},
-                            x=k, y=err, mark=none]
-                        {res/proximal/2d_avg_error_20433484_3db.csv};
-            \addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
-            \addplot table [col sep=comma,
-                            discard if not={omega}{0.052233450742668434},
-                            x=k, y=err, mark=none]
-                        {res/proximal/2d_avg_error_20433484_5db.csv};
-            \addlegendentry{$E_b / N_0 = \SI{5}{dB}$}
-            \addplot table [col sep=comma,
-                            discard if not={omega}{0.052233450742668434},
-                            x=k, y=err, mark=none]
-                        {res/proximal/2d_avg_error_20433484_8db.csv};
-            \addlegendentry{$E_b / N_0 = \SI{8}{dB}$}
-            \end{axis}
-        \end{tikzpicture}
-    
-        \caption{Average error for $\SI{500000}{iterations},
-                 \omega = 0.05, \gamma = 0.05, K=200$\footnotemark}
-    \end{figure}
-        
-    \footnotetext{Simulation performed with (3,6) regular LDPC Code with $n=204, k=102$
-        \cite[Code: 204.33.484]{mackay_enc}}
-
-    \begin{itemize}
-        \item For large $k$, the average error asymptotically approaches a minimum, non-zero value
-    \end{itemize}
-\end{frame}
-
-
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[t, fragile]
    \frametitle{Proximal Decoding: Improvement using ``ML-on-List''}
@ -1112,6 +1258,57 @@ $\textcolor{KITblue}{\text{Output }\boldsymbol{\tilde{x}}_n\text{ with lowest }d
 \end{frame}


+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}[t]
+    \frametitle{Proximal Decoding: Average Error}
+    \setcounter{footnote}{0} 
+  
+    \begin{figure}[H]
+        \vspace*{-0.5cm}
+        \centering
+    
+        \begin{tikzpicture}[scale=0.7]
+            \begin{axis}[
+                grid=both,
+                xlabel={k},
+                ylabel={Average $\left| \boldsymbol{x}-\boldsymbol{\hat{x}} \right|$},
+            ]
+            \addplot table [col sep=comma,
+                            discard if not={omega}{0.0774263682681127},
+                            x=k, y=err, mark=none]
+                        {res/proximal/2d_avg_error_20433484_1db.csv};
+            \addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
+            \addplot table [col sep=comma,
+                            discard if not={omega}{0.0774263682681127},
+                            x=k, y=err, mark=none]
+                        {res/proximal/2d_avg_error_20433484_3db.csv};
+            \addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
+            \addplot table [col sep=comma,
+                            discard if not={omega}{0.052233450742668434},
+                            x=k, y=err, mark=none]
+                        {res/proximal/2d_avg_error_20433484_5db.csv};
+            \addlegendentry{$E_b / N_0 = \SI{5}{dB}$}
+            \addplot table [col sep=comma,
+                            discard if not={omega}{0.052233450742668434},
+                            x=k, y=err, mark=none]
+                        {res/proximal/2d_avg_error_20433484_8db.csv};
+            \addlegendentry{$E_b / N_0 = \SI{8}{dB}$}
+            \end{axis}
+        \end{tikzpicture}
+    
+        \caption{Average error for $\SI{500000}{decodings},
+                 \omega = 0.05, \gamma = 0.05, K=200$\footnotemark}
+    \end{figure}
+        
+    \footnotetext{Simulation performed with (3,6) regular LDPC Code with $n=204, k=102$
+        \cite[Code: 204.33.484]{mackay_enc}}
+
+    \begin{itemize}
+        \item For large $k$, the average error asymptotically approaches a minimum, non-zero value
+    \end{itemize}
+\end{frame}
+
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %\begin{frame}[t, fragile]
 %    \frametitle{Proximal Decoding: Improvement using ``ML-on-List''}