Evaluate e^jw/(e^jw-0.5) at 501 equispaced points between [0,pi] and
plot its magnitude, angle, real, and imaginary parts.
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clc;
w = [0:1:500]*pi/500;
X = exp(j*w) ./ (exp(j*w) - 0.5*ones(1,501));
magX = abs(X);
angX = angle(X);
realX = real(X); imagX = imag(X);
subplot(2,2,1); plot(w/pi,magX); grid
xlabel('frequency in pi units') ; title('Magnitude Part'); ylabel('Ma@tude')
subplot(2,2,3); plot(w/pi,angX); grid
xlabel('frequency in pi units'); title('Ang1e Part'); ylabel('Radians')
subplot(2,2,2); plot(w/pi,realX); grid
xlabel('frequency in pi units') ; title('Rea1 Part') ; ylabel('Real')
subplot(2,2,4); plot(w/pi,imagX); grid
xlabel('frequency in pi units'); title('1maginary Part'); ylabel('1maginary')
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