Update matlab scripts

matlab/matlab/1_synthesis_complementary_filters.m

@@ -7,9 +7,6 @@ s = zpk('s');
 %% Initialize Frequency Vector
 freqs = logspace(-1, 3, 1000);
 
-%% Add functions to path
-addpath('./src');
-
 %% Weighting Function Design
 % Parameters
 n = 3; w0 = 2*pi*10; G0 = 1e-3; G1 = 1e1; Gc = 2;
@@ -45,8 +42,8 @@ ylim([5e-4, 20]);
 yticks([1e-4, 1e-3, 1e-2, 1e-1, 1, 1e1]);
 
 %% Design of the Weighting Functions
-W1 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'G1', 1/10, 'Gc', 0.45);
-W2 = generateWF('n', 2, 'w0', 2*pi*10, 'G0', 1/10, 'G1', 1000, 'Gc', 0.45);
+W1 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'Ginf', 1/10, 'Gc', 0.45);
+W2 = generateWF('n', 2, 'w0', 2*pi*10, 'G0', 1/10, 'Ginf', 1000, 'Gc', 0.45);
 
 %% Plot of the Weighting function magnitude
 figure;

matlab/matlab/2_ligo_complementary_filters.m

@@ -7,9 +7,6 @@ s = zpk('s');
 %% Initialize Frequency Vector
 freqs = logspace(-3, 0, 1000);
 
-%% Add functions to path
-addpath('./src');
-
 %% Upper bounds for the complementary filters
 figure;
 hold on;

matlab/matlab/3_closed_loop_complementary_filters.m

@@ -7,12 +7,9 @@ s = zpk('s');
 %% Initialize Frequency Vector
 freqs = logspace(-1, 3, 1000);
 
-%% Add functions to path
-addpath('./src');
-
 %% Design of the Weighting Functions
-W1 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'G1', 1/10, 'Gc', 0.45);
-W2 = generateWF('n', 2, 'w0', 2*pi*10, 'G0', 1/10, 'G1', 1000, 'Gc', 0.45);
+W1 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'Ginf', 1/10, 'Gc', 0.45);
+W2 = generateWF('n', 2, 'w0', 2*pi*10, 'G0', 1/10, 'Ginf', 1000, 'Gc', 0.45);
 
 %% Generalized plant for "closed-loop" complementary filter synthesis
 P = [ W1 0   1;

matlab/matlab/4_three_complementary_filters.m

@@ -6,15 +6,10 @@ s = zpk('s');
 
 freqs = logspace(-2, 3, 1000);
 
-addpath('./src');
-
-% Weights
-% First we define the weights.
-
 %% Design of the Weighting Functions
-W1 = generateWF('n', 2, 'w0', 2*pi*1, 'G0', 1/10, 'G1', 1000, 'Gc', 0.5);
+W1 = generateWF('n', 2, 'w0', 2*pi*1, 'G0', 1/10, 'Ginf', 1000, 'Gc', 0.5);
 W2 = 0.22*(1 + s/2/pi/1)^2/(sqrt(1e-4) + s/2/pi/1)^2*(1 + s/2/pi/10)^2/(1 + s/2/pi/1000)^2;
-W3 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'G1', 1/10, 'Gc', 0.5);
+W3 = generateWF('n', 3, 'w0', 2*pi*10, 'G0', 1000, 'Ginf', 1/10, 'Gc', 0.5);
 
 %% Inverse magnitude of the weighting functions
 figure;
@@ -32,28 +27,20 @@ xlim([freqs(1), freqs(end)]); ylim([2e-4, 1.3e1])
 leg = legend('location', 'northeast', 'FontSize', 8);
 leg.ItemTokenSize(1) = 18;
 
-% H-Infinity Synthesis
-% Then we create the generalized plant =P=.
-
 %% Generalized plant for the synthesis of 3 complementary filters
 P = [W1 -W1 -W1;
      0   W2  0 ;
      0   0   W3;
      1   0   0];
 
-
-
-% And we do the $\mathcal{H}_\infty$ synthesis.
-
 %% Standard H-Infinity Synthesis
 [H, ~, gamma, ~] = hinfsyn(P, 1, 2,'TOLGAM', 0.001, 'METHOD', 'ric', 'DISPLAY', 'on');
 
-% Obtained Complementary Filters
-% The obtained filters are:
-
-%%
+%% Synthesized H2 and H3 filters
 H2 = tf(H(1));
 H3 = tf(H(2));
+
+%% H1 is defined as the complementary filter of H2 and H3
 H1 = 1 - H2 - H3;
 
 %% Bode plot of the obtained complementary filters

matlab/ref.bib

@@ -14,7 +14,8 @@
 
 @inproceedings{dehaeze21_new_method_desig_compl_filter,
   author          = {Dehaeze, Thomas and Vermat, Mohit and Collette, Christophe},
-  title           = {A New Method of Designing Complementary Fil},
+  title           = {A New Method of Designing Complementary Filters for Sensor
+                  Fusion Using the $\mathcal{H}_\infty$ Synthesis},
   booktitle       = {Gravitational Wave and Particle Astrophysics Detectors},
   year            = 2004,
   volume          = 5500,