a) The input sequence, x[n] to a finite impulse response discrete-time system and its corresponding output sequence, y[n], are: x[n]= 2,3,3,0,0,... y[n] = 2,7,15,19,15,6,0,0,... Determine the impulse response, h[n] of the system, while showing the full working, using: i) Decomposition method. ii) Quadratic long division method

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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a) The input sequence, x[n] to a finite impulse response
discrete-time system and its corresponding output sequence,
y[n], are:
x[n]= 2,3,3,0,0,...
y[n] = 2,7,15,19,15,6,0,0,...
Determine the impulse response, h[n] of the system, while
showing the full working, using:
i) Decomposition method.
ii) Quadratic long division method
From h[n], determine the magnitude and phase response in
the frequency domain of the system.
b) Sketch a non-recursive moving average digital filter with
FOUR coefficients and your sketch should include all the
relevant variables including the appropriate values of the
FOUR coefficients. Then demonstrate the calculations of the
digital filter above with a suitable example.
Transcribed Image Text:a) The input sequence, x[n] to a finite impulse response discrete-time system and its corresponding output sequence, y[n], are: x[n]= 2,3,3,0,0,... y[n] = 2,7,15,19,15,6,0,0,... Determine the impulse response, h[n] of the system, while showing the full working, using: i) Decomposition method. ii) Quadratic long division method From h[n], determine the magnitude and phase response in the frequency domain of the system. b) Sketch a non-recursive moving average digital filter with FOUR coefficients and your sketch should include all the relevant variables including the appropriate values of the FOUR coefficients. Then demonstrate the calculations of the digital filter above with a suitable example.
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