Embedded Files
Activity 01
y[n] = x[n] + 2r*cos(w)y[n-1] - r^2*y[n-2]
Linear Synthesizer
Varying "r" by 0.1 (0 - 1) w = pi/2
r=0.0
r=0.1
r=0.2
r=0.3
r=0.4
r=0.5
r=0.6
r=0.7
r=0.8
r=0.9
r=1.0
r>1 signal grows exponentially
r = 1 signal sustains as a sinusoidal wave.
Varying "w" by Pi/6 (-pi/4 - pi/4) r = 0.5
w=-3.14 red
w = -2.36 red
w = -1.57 red
w = -0.79 red
w=0 red
w = 0.79 red
w = 1.57 red
w = 2.38 red
Activity 1
Effect of Rvec_r = 0:0.1:1;w = pi/2;for i= 1:length(vec_r) r = vec_r(i) display_grpah(i,r,w)end
Effect of Wr = 0.5;vec_w = -pi:pi/4:pi;for j= 1:length(vec_w) w = vec_w(j); display_grpah(j,r,w)end
function display_grpah(n,r, w) x = zeros(1,1000); x(1)=1; y = [0,0,0]; for i=1:1000 new = x(i) + 2*r*cos(w)*y(end-1) - (r^2)*y(end-2); y = [y ,new]; end %cmap = hsv(12); figure() plot(y,'LineWidth',1.2,'Color','blue') title_txt = sprintf('%d th Plot of r = %.2f \\omega = %.2f',n,round(r,2),round(w,2)); title(title_txt) grid on xlabel('#sample') ylabel('Amplitude')end
Effect of Rvec_r = 0:0.1:1;w = pi/2;for i= 1:length(vec_r) r = vec_r(i) display_grpah(i,r,w)end
Effect of Wr = 0.5;vec_w = -pi:pi/4:pi;for j= 1:length(vec_w) w = vec_w(j); display_grpah(j,r,w)end
function display_grpah(n,r, w) x = zeros(1,1000); x(1)=1; y = [0,0,0]; for i=1:1000 new = x(i) + 2*r*cos(w)*y(end-1) - (r^2)*y(end-2); y = [y ,new]; end %cmap = hsv(12); figure() plot(y,'LineWidth',1.2,'Color','blue') title_txt = sprintf('%d th Plot of r = %.2f \\omega = %.2f',n,round(r,2),round(w,2)); title(title_txt) grid on xlabel('#sample') ylabel('Amplitude')end
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