TISEAN package: Difference between revisions

TISEAN package (edit)

Revision as of 17:35, 1 June 2015

2,031 bytes added , 1 June 2015

moved "Procedure" to TISEAN_package:Procedure; added noise reduction tutorial.

Josiah425

156

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 == Porting TISEAN ==
-This section describes the process employed during porting TISEAN package into an Octave Package. This project was started as part of the Google Summer of Code 2015.
+This section will focus on demonstrating the capabilities of the TISEAN package. The previous information about the porting procedure has been moved [[TISEAN_package:Procedure|here]].
-The current progress can be viewed [[User:Josiah425:TISEAN_Package:Table_of_functions| here]].
-To aid in understanding the task there are some charts.
+== Tutorials ==
+These tutorials are based on examples, tutorials and the articles located on the TISEAN website:<br/> [http://www.mpipks-dresden.mpg.de/~tisean/Tisean_3.0.1/ http://www.mpipks-dresden.mpg.de/~tisean/Tisean_3.0.1/].<br/>
-The first chart depicts what to do with each function in the function table. I mainly focuses on those functions that might already implemented in Octave.
+This tutorial will utilize the following dataset:
+* [http://www.mpipks-dresden.mpg.de/~tisean/Tisean_3.0.1/docs/tutorial/amplitude.dat amplitude.dat]
-[[File:Work_flow_TISEAN.png]]
+Please download it as the tutorial functions will reference it.
+=== Noise Reduction ===
-The chart below depicts how to decide which type of port should be utilized.
+This tutorial show different methods of the 'Noise Reduction' section of the TISEAN documentation (located [http://www.mpipks-dresden.mpg.de/~tisean/Tisean_3.0.1/docs/chaospaper/node22.html#SECTION00060000000000000000 here]). It shows the use of simple nonlinear noise reduction (function {{Codeline|lazy}}) and locally projective nonlinear noise reduction (function {{Codeline|ghkss}}). To start let's create noisy data to work with.
+{{Code|Creating a noisy henon map|<syntaxhighlight lang="octave" style="font-size:13px">
-[[File:Porting_Programs_TISEAN.png]]
+hen       = henon (10000);
+hen       = hen(:,1); # We only need the first column
-Both of those charts can be combined into a large one that shows all of the work together.
+hen_noisy = hen + std (hen) * 0.02 .* (-6 + sum (rand ([size(hen), 12]), 3));
+</syntaxhighlight>}}
-[[File:Flow_Together_TISEAN.png]]
+This created a Henon map contaminated by 2% Gaussian noise à la TISEAN. In the tutorials and exercises  on the TISEAN website this would be equivalent to calling {{Codeline|makenoise -%2}} on the Henon map.<br/>
+Next we will reduce the noise using simple nonlinear noise reduction {{Codeline|lazy}}.
+{{Code|Simple nonlinear noise reduction|<syntaxhighlight lang="octave" style="font-size:13px">
+clean       = lazy (hen_noisy,7,-0.06,3);
+# Create delay vectors for both the clean and noisy data
+delay_clean = delay (clean);
+delay_noisy = delay (hen_noisy);
+# Plot both on one chart
+plot (delay_noisy(:,1), delay_noisy(:,2), 'b.;Noisy Data;','markersize,3,...
+      delay_clean(:,1), delay_clean(:,2), 'r.;Clean Data;','markersize,3)
+</syntaxhighlight>}}
+On the chart created the red dots represent cleaned up data. It is much closer to the original than the noisy set.<br/>
+Now we will do the same, only with {{Codeline|ghkss}}.
+{{Code|Locally projective nonlinear noise reduction|<syntaxhighlight lang="octave" style="font-size:13px">
+clean       = ghkss (hen(:,1),'m',7,'q',2,'r',0.05,'k',20,'i',2);
+# Create delay vectors for both the clean and noisy data
+delay_clean = delay (clean);
+delay_noisy = delay (hen_noisy);
+# Plot both on one chart
+plot (delay_noisy(:,1), delay_noisy(:,2), 'b.;Noisy Data;','markersize,3,...
+      delay_clean(:,1), delay_clean(:,2), 'r.;Clean Data;','markersize,3)
+</syntaxhighlight>}}
 [[Category:Octave-Forge]]

TISEAN package: Difference between revisions

TISEAN package (edit)

Revision as of 17:35, 1 June 2015

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