Normalized frequency Assignment Help

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Normalized frequency r In the MATLAB program defines the window is illustrate over 0 ≤ n ≤ (N-1). Further we describe the normalized frequency r = ω/π. As ω varies from -π to π the normalized frequency taken from -1 to 1.

 

%Magnitude response of rectangular window defined over n = 0 to N-1

% h(n) = {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}

b11=[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], a=[1]

w=-pi: pi/256: pi; r = w/pi; Hw11=freqz(b11, a, w);

subplot(2, 1, 1), plot(w, abs(Hw11)); legend ('Length = 11');

xlabel('Frequency \omega, rad/sample'), ylabel('Magnitude of H(\omega)'); grid

%

%Normalized frequency r = ω/π

Hr11=freqz(b11, a, pi*r);

subplot(2, 1, 2), plot(r, abs(Hr11)); legend (' Length = 11');

xlabel('Normalized Frequency r'), ylabel('Magnitude of H(r)'); grid

 

Note in the plot below that as ω goes from -π to π the normalized frequency r goes from -1 to 1.

531_Normalized frequency.png

 

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