(Solved Homework): MATLAB Program and Plots. For each of the following parts, turn in your MATLAB code and plots together on a single sheet of paper. N…

MATLAB Program and Plots. For each of the following parts, turn in your MATLAB code and plots together on a single sheet of paper. Not following these directions will incur deductions. You may combine solutions such that more than one solution is provided on a single page. (a) On two separate plots show the real and imaginary components to the function x(t) = Ce^at for C = 0.5 + j0.5 and a = 0.5 + j10 on the interval t = [-3, 3] with a spacing between measurements of Delta t = 0.01. (b) Shift the signal to the left by 1 second and replot. State what you modified in x(t) to effect this change. (c) Compute the modifications to C and/or a to achieve zero phase for the signal x(t). Replot the signal real and imaginary parts to verify your solution and turn in your analytical work, program and verification plots.

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function my_plot3
X = 0.05;%real part of C
Y = 0.05;%imaginary part of C
aX = 0.05;%real part of a
aY = 10;%imaginary part of a
Mc = sqrt(X^2+Y^2);%modulas of C
theta_C = angle(x+i*y);%angle of C in radian
t = -3:0.01:3;
%solution part(a)
Re_Xt = Mc*exp(ax*t).*cos(ay*t+theta_C);%real part ofx(t)
im_Xt = Mc*exp(ax*t).*sin(ay*t+theta_C);%imaginary part of x(t) shifted by 1 sec
figure(3)
plot(t,lm_Xt),grid on;
xlabel(“t(in seconds)”);
ylabel(“imaginary part of x(t)”);
title(“solution of part(a)”);
%solution of part(b)
Re_Xt_shift = Mc*exp(ax*(t+1).*cos(ay*(t+1)+theta_C);%real part of x(t) shifted by 1 sec
im_Xt_shift = Mc*exp(ax*(t+1).*sin(ay*(t+1)+theta_C);%imaginary part of x(t)shifted by 1sec
figure(3)
plot(t,Re_Xt_shift),grid on;
xlabel(“t(in secongs)”);
ylable(“real part of x(t)”);
title(“solution of part(b),x(t) is shifted by 1 sec”);
figure(4)
plot(t,lm_Xt_shift),grid no;
xlabel(“t(in seconds)”);
ylabel(“imaginary part of x(t)”);
tittle(“solution of part(b),x(t) is shifted by 1 sec”);
figure(5)
plot(t,Xt_zero_phase),grid on;
xlabel(“t(in seconds)”);
ylabel(“x(t)”);
title(“solution of part(c)”);
end

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