semestralka

hod4/1.m

@@ -0,0 +1,30 @@
+% y(n)=(3/4)*y(n-1) + (1/6)*y(n-2) + x(n)+(1/2)*x(n-1)
+clc;
+clear all;
+close all;
+
+cit = [1, 0.5]
+men = [1, -0.75, -1/6]
+roots(men)
+figure;
+zplane(cit, men)
+figure;
+freqz(cit, men, 'whole')
+
+z = roots(cit);
+p = roots(men);
+theta = pi/4;
+r = 0.99;
+new_zero_pair = [0;0];
+new_pole_pair = [r*exp(1j*theta); r*exp(-1j*theta)];
+filter_cit = poly(new_zero_pair)
+filter_men = poly(new_pole_pair)
+z_new = [z; new_zero_pair];
+p_new = [p; new_pole_pair];
+cit_new = poly(z_new)
+men_new = poly(p_new) 
+figure;
+zplane(cit_new, men_new)
+figure;
+freqz(cit_new, men_new, 'whole')
+

hod4/2.m

@@ -0,0 +1,28 @@
+% y(n)=(3/4)*y(n-1) + (1/6)*y(n-2) + x(n)+(1/2)*x(n-1)
+clc;
+clear all;
+close all;
+
+cit = [1, 0.5]
+men = [1, -0.75, -1/6]
+roots(men)
+figure;
+zplane(cit, men);
+figure;
+freqz(cit, men, 'whole');
+
+x = [zeros(1, 10), 1, zeros(1, 100)]
+y = zeros(size(x));
+for n = 3:length(x)
+    y(n) = 0.75*y(n-1) + (1/6)*y(n-2) + x(n) + 0.5*x(n-1)
+
+    stem(0:length(x)-1, y, 'filled');     % plot discrete-time sequence
+    title(['System output up to sample n = ' num2str(n)]);
+    xlabel('n');
+    ylabel('y(n)');
+    ylim([-0.5 1.5]);                     % fixed axis for stability
+    grid on;
+    pause(0.25);
+end
+
+