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Description: 1. To remove the noise/disturbance, the following law is usually used: y(n) = b1*y(n-1) + b2*y(n-2) + ag*x(n) + a1 *x(n-1) where x and

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Description: 1. To remove the noise/disturbance, the following law is usually used: y(n) = b1*y(n-1) + b2*y(n-2) + ag*x(n) + a1 *x(n-1) where x and y are input and output, respectively. find the discrete transfer function of H(z) = Y(z)/X(z) 2. X is sine waveform, amplitude is 5, frequency is 1 kHz, with white noise (which is gaussian distribution: -N(0,1)). B1 = 0.5, b2 = 0.2, ao = 0.2, a1 = 0.1; a) Build the model in Simulink with sample frequency is 100 kHz b) Measure X and Y in the same channel to see the difference. 3. Change sample frequency to 10 kHz, measure X and Y and compared to that obtained in 2b, what is the difference? 4. When B1 = 0.8, rest of conditions are the same as 2, measure X and Y, what is the difference compared to 2? Report Requirement: 1. add the process of deriving the transfer function H(z). 2. Attaches measurement derived in 2 and 3 and comparison. Description: 1. To remove the noise/disturbance, the following law is usually used: y(n) = b1*y(n-1) + b2*y(n-2) + ag*x(n) + a1 *x(n-1) where x and y are input and output, respectively. find the discrete transfer function of H(z) = Y(z)/X(z) 2. X is sine waveform, amplitude is 5, frequency is 1 kHz, with white noise (which is gaussian distribution: -N(0,1)). B1 = 0.5, b2 = 0.2, ao = 0.2, a1 = 0.1; a) Build the model in Simulink with sample frequency is 100 kHz b) Measure X and Y in the same channel to see the difference. 3. Change sample frequency to 10 kHz, measure X and Y and compared to that obtained in 2b, what is the difference? 4. When B1 = 0.8, rest of conditions are the same as 2, measure X and Y, what is the difference compared to 2? Report Requirement: 1. add the process of deriving the transfer function H(z). 2. Attaches measurement derived in 2 and 3 and comparison

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