captions figures

jfriedt
1 parent c27d271058
Showing 1 changed file with 41 additions and 19 deletions Side-by-side Diff
ifcs2018_journal.tex
@@ -312,7 +312,8 @@
 \begin{figure}
 \centering
 \includegraphics[width=\linewidth]{images/colored_custom_criterion}
-\caption{Custom criterion (maximum rejection in the stopband minus the mean of the absolute value of the passband rejection)
+\caption{Custom criterion (maximum rejection in the stopband minus the {\color{red} sum of the 
+absolute values of the passband rejection normalized to the bandwidth})
 comparison between monolithic filter and cascaded filters}
 \label{fig:custom_criterion}
 \end{figure}
@@ -328,7 +329,9 @@
 \begin{figure}
 \centering
 \includegraphics[width=\linewidth]{images/rejection_pyramid}
-\caption{Rejection as a function of number of coefficients and number of bits}
+\caption{{\color{red}{Filter}} rejection as a function of number of coefficients and number of bits
+{\color{red}: this lookup table will be used to identify which filter parameters -- number of bits
+representing coefficients and number of coefficients -- best match the targeted transfer function.}}
 \label{fig:rejection_pyramid}
 \end{figure}
  
@@ -343,7 +346,7 @@
 with respect to a basic sum of the rejection criteria shown as a the dotted yellow line.
 % r2.9
 Thus, estimating the rejection of filter cascades is more complex than taking the sum of all the rejection
-criteria of each filter. However since the this sum underestimates the rejection capability of the cascade,
+criteria of each filter. However since the {\color{red}individual filter rejection} sum underestimates the rejection capability of the cascade,
 % r2.10
 this upper bound is considered as a conservative and acceptable criterion for deciding on the suitability
 of the filter cascade to meet design criteria.
@@ -351,7 +354,11 @@
 \begin{figure}
 \centering
 \includegraphics[width=\linewidth]{images/cascaded_criterion}
-\caption{Rejection of two cascaded filters}
+\caption{{\color{red}Transfer function of individual filters and after cascading} the two filters,
+{\color{red}demonstrating that the selected criterion of maximum rejection in the bandstop (horizontal
+lines) is met. Notice that the cascaded filter has better rejection than summing the bandstop
+maximum of each individual filter.}
+}
 \label{fig:sum_rejection}
 \end{figure}
  
@@ -521,7 +528,8 @@
     \draw[->] (Deploy) edge node [left] { (5) } (Postproc) ;
     \draw[->] (Postproc) -- (Results) ;
   \end{tikzpicture}
-  \caption{Design workflow from the input parameters to the results}
+  \caption{Design workflow from the input parameters to the results {\color{red} allowing for
+a fully automated optimal solution search.}}
   \label{fig:workflow}
 \end{figure}
  
  
  
  
@@ -699,22 +707,28 @@
   \centering
   \begin{subfigure}{\linewidth}
     \includegraphics[width=\linewidth]{images/max_500}
-    \caption{Signal spectrum for MAX/500}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MAX/500 problem of maximizing rejection for a given resource allocation (500~arbitrary units).}
     \label{fig:max_500_result}
   \end{subfigure}
  
   \begin{subfigure}{\linewidth}
     \includegraphics[width=\linewidth]{images/max_1000}
-    \caption{Signal spectrum for MAX/1000}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MAX/1000 problem of maximizing rejection for a given resource allocation (1000~arbitrary units).}
     \label{fig:max_1000_result}
   \end{subfigure}
  
   \begin{subfigure}{\linewidth}
     \includegraphics[width=\linewidth]{images/max_1500}
-    \caption{Signal spectrum for MAX/1500}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MAX/1500 problem of maximizing rejection for a given resource allocation (1500~arbitrary units).}
     \label{fig:max_1500_result}
   \end{subfigure}
-  \caption{Signal spectrum of each experimental configurations MAX/500, MAX/1000 and MAX/1500}
+  \caption{\color{red}Solutions for the MAX/500, MAX/1000 and MAX/1500 problems of maximizing
+rejection for a given resource allocation.
+The filter shape constraint (bandpass and bandstop) is shown as thick 
+horizontal lines on each chart.}
 \end{figure}
  
 In all cases, we observe that the actual rejection is close to the rejection computed by the solver.
@@ -736,7 +750,8 @@
 Logic (PL -- FPGA) to Processing System (PS -- general purpose processor) communication.
  
 \begin{table}[h!tb]
-  \caption{Resource occupation. The last column refers to available resources on a Zynq-7010 as found on the Redpitaya.}
+  \caption{Resource occupation {\color{red}following synthesis of the solutions found for
+the problem of maximizing rejection for a given resource allocation}. The last column refers to available resources on a Zynq-7010 as found on the Redpitaya.}
   \label{tbl:resources_usage}
   \centering
       \begin{tabular}{|c|c|ccc|c|}
  
  
  
  
@@ -953,29 +968,36 @@
 \begin{figure}
   \centering
   \begin{subfigure}{\linewidth}
-    \includegraphics[width=\linewidth]{images/min_40}
-    \caption{Signal spectrum for MIN/40}
+    \includegraphics[width=.91\linewidth]{images/min_40}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MIN/40 problem of minimizing resource allocation for reaching a 40~dB rejection.}
     \label{fig:min_40}
   \end{subfigure}
  
   \begin{subfigure}{\linewidth}
-    \includegraphics[width=\linewidth]{images/min_60}
-    \caption{Signal spectrum for MIN/60}
+    \includegraphics[width=.91\linewidth]{images/min_60}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MIN/60 problem of minimizing resource allocation for reaching a 60~dB rejection.}
     \label{fig:min_60}
   \end{subfigure}
  
   \begin{subfigure}{\linewidth}
-    \includegraphics[width=\linewidth]{images/min_80}
-    \caption{Signal spectrum for MIN/80}
+    \includegraphics[width=.91\linewidth]{images/min_80}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MIN/80 problem of minimizing resource allocation for reaching a 80~dB rejection.}
     \label{fig:min_80}
   \end{subfigure}
  
   \begin{subfigure}{\linewidth}
-    \includegraphics[width=\linewidth]{images/min_100}
-    \caption{Signal spectrum for MIN/100}
+    \includegraphics[width=.91\linewidth]{images/min_100}
+    \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
+the MIN/100 problem of minimizing resource allocation for reaching a 100~dB rejection.}
     \label{fig:min_100}
   \end{subfigure}
-  \caption{Signal spectrum of each experimental configurations MIN/40, MIN/60, MIN/80 and MIN/100}
+  \caption{\color{red}Solutions for the MIN/40, MIN/60, MIN/80 and MIN/100 problems of reaching a 
+given rejection while minimizing resource allocation. The filter shape constraint (bandpass and 
+bandstop) is shown as thick 
+horizontal lines on each chart.}
 \end{figure}
  
 We observe that all rejections given by the quadratic solver are close to the experimentally
...	...	@@ -312,7 +312,8 @@
312	312	\begin{figure}
313	313	\centering
314	314	\includegraphics[width=\linewidth]{images/colored_custom_criterion}
315		-\caption{Custom criterion (maximum rejection in the stopband minus the mean of the absolute value of the passband rejection)
	315	+\caption{Custom criterion (maximum rejection in the stopband minus the {\color{red} sum of the
	316	+absolute values of the passband rejection normalized to the bandwidth})
316	317	comparison between monolithic filter and cascaded filters}
317	318	\label{fig:custom_criterion}
318	319	\end{figure}
...	...	@@ -328,7 +329,9 @@
328	329	\begin{figure}
329	330	\centering
330	331	\includegraphics[width=\linewidth]{images/rejection_pyramid}
331		-\caption{Rejection as a function of number of coefficients and number of bits}
	332	+\caption{{\color{red}{Filter}} rejection as a function of number of coefficients and number of bits
	333	+{\color{red}: this lookup table will be used to identify which filter parameters -- number of bits
	334	+representing coefficients and number of coefficients -- best match the targeted transfer function.}}
332	335	\label{fig:rejection_pyramid}
333	336	\end{figure}
334	337
...	...	@@ -343,7 +346,7 @@
343	346	with respect to a basic sum of the rejection criteria shown as a the dotted yellow line.
344	347	% r2.9
345	348	Thus, estimating the rejection of filter cascades is more complex than taking the sum of all the rejection
346		-criteria of each filter. However since the this sum underestimates the rejection capability of the cascade,
	349	+criteria of each filter. However since the {\color{red}individual filter rejection} sum underestimates the rejection capability of the cascade,
347	350	% r2.10
348	351	this upper bound is considered as a conservative and acceptable criterion for deciding on the suitability
349	352	of the filter cascade to meet design criteria.
...	...	@@ -351,7 +354,11 @@
351	354	\begin{figure}
352	355	\centering
353	356	\includegraphics[width=\linewidth]{images/cascaded_criterion}
354		-\caption{Rejection of two cascaded filters}
	357	+\caption{{\color{red}Transfer function of individual filters and after cascading} the two filters,
	358	+{\color{red}demonstrating that the selected criterion of maximum rejection in the bandstop (horizontal
	359	+lines) is met. Notice that the cascaded filter has better rejection than summing the bandstop
	360	+maximum of each individual filter.}
	361	+}
355	362	\label{fig:sum_rejection}
356	363	\end{figure}
357	364
...	...	@@ -521,7 +528,8 @@
521	528	\draw[->] (Deploy) edge node [left] { (5) } (Postproc) ;
522	529	\draw[->] (Postproc) -- (Results) ;
523	530	\end{tikzpicture}
524		- \caption{Design workflow from the input parameters to the results}
	531	+ \caption{Design workflow from the input parameters to the results {\color{red} allowing for
	532	+a fully automated optimal solution search.}}
525	533	\label{fig:workflow}
526	534	\end{figure}
527	535
528	536
529	537
530	538
...	...	@@ -699,22 +707,28 @@
699	707	\centering
700	708	\begin{subfigure}{\linewidth}
701	709	\includegraphics[width=\linewidth]{images/max_500}
702		- \caption{Signal spectrum for MAX/500}
	710	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	711	+the MAX/500 problem of maximizing rejection for a given resource allocation (500~arbitrary units).}
703	712	\label{fig:max_500_result}
704	713	\end{subfigure}
705	714
706	715	\begin{subfigure}{\linewidth}
707	716	\includegraphics[width=\linewidth]{images/max_1000}
708		- \caption{Signal spectrum for MAX/1000}
	717	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	718	+the MAX/1000 problem of maximizing rejection for a given resource allocation (1000~arbitrary units).}
709	719	\label{fig:max_1000_result}
710	720	\end{subfigure}
711	721
712	722	\begin{subfigure}{\linewidth}
713	723	\includegraphics[width=\linewidth]{images/max_1500}
714		- \caption{Signal spectrum for MAX/1500}
	724	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	725	+the MAX/1500 problem of maximizing rejection for a given resource allocation (1500~arbitrary units).}
715	726	\label{fig:max_1500_result}
716	727	\end{subfigure}
717		- \caption{Signal spectrum of each experimental configurations MAX/500, MAX/1000 and MAX/1500}
	728	+ \caption{\color{red}Solutions for the MAX/500, MAX/1000 and MAX/1500 problems of maximizing
	729	+rejection for a given resource allocation.
	730	+The filter shape constraint (bandpass and bandstop) is shown as thick
	731	+horizontal lines on each chart.}
718	732	\end{figure}
719	733
720	734	In all cases, we observe that the actual rejection is close to the rejection computed by the solver.
...	...	@@ -736,7 +750,8 @@
736	750	Logic (PL -- FPGA) to Processing System (PS -- general purpose processor) communication.
737	751
738	752	\begin{table}[h!tb]
739		- \caption{Resource occupation. The last column refers to available resources on a Zynq-7010 as found on the Redpitaya.}
	753	+ \caption{Resource occupation {\color{red}following synthesis of the solutions found for
	754	+the problem of maximizing rejection for a given resource allocation}. The last column refers to available resources on a Zynq-7010 as found on the Redpitaya.}
740	755	\label{tbl:resources_usage}
741	756	\centering
742	757	\begin{tabular}{\|c\|c\|ccc\|c\|}
743	758
744	759
745	760
746	761
...	...	@@ -953,29 +968,36 @@
953	968	\begin{figure}
954	969	\centering
955	970	\begin{subfigure}{\linewidth}
956		- \includegraphics[width=\linewidth]{images/min_40}
957		- \caption{Signal spectrum for MIN/40}
	971	+ \includegraphics[width=.91\linewidth]{images/min_40}
	972	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	973	+the MIN/40 problem of minimizing resource allocation for reaching a 40~dB rejection.}
958	974	\label{fig:min_40}
959	975	\end{subfigure}
960	976
961	977	\begin{subfigure}{\linewidth}
962		- \includegraphics[width=\linewidth]{images/min_60}
963		- \caption{Signal spectrum for MIN/60}
	978	+ \includegraphics[width=.91\linewidth]{images/min_60}
	979	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	980	+the MIN/60 problem of minimizing resource allocation for reaching a 60~dB rejection.}
964	981	\label{fig:min_60}
965	982	\end{subfigure}
966	983
967	984	\begin{subfigure}{\linewidth}
968		- \includegraphics[width=\linewidth]{images/min_80}
969		- \caption{Signal spectrum for MIN/80}
	985	+ \includegraphics[width=.91\linewidth]{images/min_80}
	986	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	987	+the MIN/80 problem of minimizing resource allocation for reaching a 80~dB rejection.}
970	988	\label{fig:min_80}
971	989	\end{subfigure}
972	990
973	991	\begin{subfigure}{\linewidth}
974		- \includegraphics[width=\linewidth]{images/min_100}
975		- \caption{Signal spectrum for MIN/100}
	992	+ \includegraphics[width=.91\linewidth]{images/min_100}
	993	+ \caption{\color{red}Filter transfer functions for varying number of cascaded filters solving
	994	+the MIN/100 problem of minimizing resource allocation for reaching a 100~dB rejection.}
976	995	\label{fig:min_100}
977	996	\end{subfigure}
978		- \caption{Signal spectrum of each experimental configurations MIN/40, MIN/60, MIN/80 and MIN/100}
	997	+ \caption{\color{red}Solutions for the MIN/40, MIN/60, MIN/80 and MIN/100 problems of reaching a
	998	+given rejection while minimizing resource allocation. The filter shape constraint (bandpass and
	999	+bandstop) is shown as thick
	1000	+horizontal lines on each chart.}
979	1001	\end{figure}
980	1002
981	1003	We observe that all rejections given by the quadratic solver are close to the experimentally