Moving Average Filter Input and output relationship is given by; x[n]. h[n] - y[n] where, M2 M1+M2+14k=-M, y[n] x(п — k) (1) Impulse response is given by; 1 h[n] M2 Zk=-M1 8(n – k) (2) M1+M2+1 and the frequency response is H(el") = E=-∞h[n] e¬jwn (3) %3D 1- Prelab Preparation 1.1) Derive the frequency response by using equation (3) for arbitrary Mand M2. 1.2) Express the frequency response in terms of magnitude and phase H(ei") = |H(ej«)leió@). [H(ejw)| =? ; ¢(@) =? 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 = ,W = 9 = an Use MATLAB's freqz command to plot the magnitude and verify and w = ii) your answers.
Moving Average Filter Input and output relationship is given by; x[n]. h[n] - y[n] where, M2 M1+M2+14k=-M, y[n] x(п — k) (1) Impulse response is given by; 1 h[n] M2 Zk=-M1 8(n – k) (2) M1+M2+1 and the frequency response is H(el") = E=-∞h[n] e¬jwn (3) %3D 1- Prelab Preparation 1.1) Derive the frequency response by using equation (3) for arbitrary Mand M2. 1.2) Express the frequency response in terms of magnitude and phase H(ei") = |H(ej«)leió@). [H(ejw)| =? ; ¢(@) =? 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 = ,W = 9 = an Use MATLAB's freqz command to plot the magnitude and verify and w = ii) your answers.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Digital signal Processing - Electrical Engineering
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4f115b3-e841-4a1c-be62-348e12154942%2F2c07981a-c7ca-4444-9599-34fde7a34a8b%2Fefmbfgd_processed.jpeg&w=3840&q=75)
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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