3. (a) A linear-phase FIR filter is to approximate an ideal low-pass filter with frequency response...

 

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3. (a) A linear-phase FIR filter is to approximate an ideal low-pass filter with frequency response defined as follows: H₂(0) = {e-ine, The filter is to be designed by performing the Hamming window of length, M = 9 and cut off frequency, 0c = 1.2 rad/sec. Calculate the coefficients of the FIR filter. [22 marks] -0c≤0≤0c 0₁ ≤ 10 ≤ T (b) Identify the transfer function for the cascade structure realization for the system described by: y(n) = 0.1 y(n-1) + 0.72 y(n − 2) + 0.7 x(n) - 0.252 x(n − 2) 3. (a) A linear-phase FIR filter is to approximate an ideal low-pass filter with frequency response defined as follows: H₂(0) = {e-ine, The filter is to be designed by performing the Hamming window of length, M = 9 and cut off frequency, 0c = 1.2 rad/sec. Calculate the coefficients of the FIR filter. [22 marks] -0c≤0≤0c 0₁ ≤ 10 ≤ T (b) Identify the transfer function for the cascade structure realization for the system described by: y(n) = 0.1 y(n-1) + 0.72 y(n − 2) + 0.7 x(n) - 0.252 x(n − 2)

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