Moving Average Filter Input and output relationship is given by; x[n] h[n] - y[n] where, y[n] M2 Zk=-M1 M1+M2+1 x(п — k) (1) Impulse response is given by; 1 h[n] M2 Zk=-M1 M1+M2+1 8(n – k) (2) and the frequency response is H(el") = E=- h[n]e¯j@n = 500 n=-00 (3) 1- Prelab Preparation 1.1) Derive the frequency response by using equation (3) for arbitrary M,and M2. 1.2) Express the frequency response in terms of magnitude and phase H(ej®) = |H(ej")[eiø(w). [H(ei®)| =? ; ø(w) =? 1.3) Calculate the magnitude and phase responses for M1 = 4 and M2 = 4. i) Plot the corresponding responses. 2n ii) What is the magnitude response for w = 0, w = 9 • W = W = = and w = ii) Use MATLAB's freqz command to plot the magnitude and verify your answers.

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Electrical Engineering - Digital signal processor Please solve the question with steps
Moving Average Filter
Input and output relationship is given by;
x[n]-
h[n]
y[n]
where,
y[n]
M2
M1+M2+14k=-M,
x(п — k)
(1)
Impulse response is given by;
1
h[n]
M2
M1+M2+14k=-M,
6 (п — k)
(2)
and the frequency response is
H(ela) = E=-∞ h[n] e¯jwn
(3)
1- Prelab Preparation
1.1) Derive the frequency response by using equation (3) for arbitrary
M,and M2.
1.2) Express the frequency response in terms of magnitude and phase
H(ejw) = |H(ej")|eiacw). |H(ej@)| =? ; ¢(@) =?
1.3) Calculate the magnitude and phase responses for M1
= 4 and M2 = 4.
i)
Plot the corresponding responses.
ii)
What is the magnitude response for w = 0, w =-
ω
W =
and w =
ii)
Use MATLAB's freqz command to plot the magnitude and verify
your answers.
Transcribed Image Text:Moving Average Filter Input and output relationship is given by; x[n]- h[n] y[n] where, y[n] M2 M1+M2+14k=-M, x(п — k) (1) Impulse response is given by; 1 h[n] M2 M1+M2+14k=-M, 6 (п — k) (2) and the frequency response is H(ela) = E=-∞ h[n] e¯jwn (3) 1- Prelab Preparation 1.1) Derive the frequency response by using equation (3) for arbitrary M,and M2. 1.2) Express the frequency response in terms of magnitude and phase H(ejw) = |H(ej")|eiacw). |H(ej@)| =? ; ¢(@) =? 1.3) Calculate the magnitude and phase responses for M1 = 4 and M2 = 4. i) Plot the corresponding responses. ii) What is the magnitude response for w = 0, w =- ω W = and w = ii) Use MATLAB's freqz command to plot the magnitude and verify your answers.
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