w = [0:1:500]*pi/500;  % [0, pi] axis divided into 501 points.
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('Magnitude')
subplot(2,2,3); plot(w/pi,angX); grid
xlabel('frequency in pi units'); title('Angle Part'); ylabel('Radians')
subplot(2,2,2); plot(w/pi,realX); grid
xlabel('frequency in pi units'); title('Real Part'); ylabel('Real')
subplot(2,2,4); plot(w/pi,imagX); grid
xlabel('frequency in pi units'); title('Imaginary Part'); ylabel('Imaginary')