75 lines
947 B
Matlab
75 lines
947 B
Matlab
%% 1
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a = [1, -1, 0, 0.9];
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b = 1;
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subplot(3,1,1);
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impz(b,a);
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subplot(3,1,2);
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impz(b,a,60);
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subplot(3,1,3);
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impz(b,a,-10:40);
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y = impz(b,a,-5:10);
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display(y);
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%% 2
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a = [1, 0.4, -0.12];
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b = [1, 2];
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k = 0:10;
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y=dstep(b,a,11);
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stem(k,y);
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display(y);
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%% 3-1
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syms n;
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f = sym('1');
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Z1 = ztrans(f);
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display(Z1);
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%% 3-2
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syms a;
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syms n;
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f2 = a^n;
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Z2 = ztrans(f2);
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display(Z2);
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%% 3-3
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f3 = 0.5*n*(heaviside(n)-heaviside(n-5));
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Z3 = ztrans(f3);
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display(Z3);
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%% 3-4
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f4 = a^n*cos(n*pi/2)*heaviside(n);
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Z4 = ztrans(f4);
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display(f4);
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display(Z4);
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%% 4-1
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syms n z;
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f = (-1)^n*heaviside(n);
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h = (-1)^n/3+2*3^n/3*heaviside(n);
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F = ztrans(f);
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H = ztrans(h);
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Y = H*F;
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y = iztrans(Y);
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display(y);
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%% 4-2
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syms n z;
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H = z*(7*z-2)/((z-0.2)*(z-0.5));
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f = 1^n;
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F = ztrans(f);
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Y = F*H;
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y = iztrans(Y);
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display(y);
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%% 5
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a= [1 2^(1/2) 1];
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b = [1 0 0];
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subplot(2,1,1);
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impz(b,a,-2:20);
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display(impz(b,a,-2:20));
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subplot(2,1,2);
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p = roots(a);
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z = roots(b);
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zplane(z,p);
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