An LTI system is described by the difference equation y[n] = 2x[n] - 2x [n 1]...

 

 

  

 

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An LTI system is described by the difference equation y[n] = 2x[n] - 2x [n 1] + 2x[n − 2] a. Determine an equation for the frequency response Hew) and express it in the form where Re H(e) = R(e) is a real function and no is an integer. e-Jung e b. H (ew) is a periodic function of ; determine the period. c. Plot the magnitude of H (e№w) as a function of @ for - << 37. Do this by hand, and then check with the MATLAB function freqz. d. Find all frequencies in the interval -<<, for which the output response to the input ewn is zero. e. When the input to the system is x[n] = cos(0.5mn), determine the output signal and express it in the form y[n] = A cos(won + 4). An LTI system is described by the difference equation y[n] = 2x[n] - 2x [n 1] + 2x[n − 2] a. Determine an equation for the frequency response Hew) and express it in the form where Re H(e) = R(e) is a real function and no is an integer. e-Jung e b. H (ew) is a periodic function of ; determine the period. c. Plot the magnitude of H (e№w) as a function of @ for - << 37. Do this by hand, and then check with the MATLAB function freqz. d. Find all frequencies in the interval -<<, for which the output response to the input ewn is zero. e. When the input to the system is x[n] = cos(0.5mn), determine the output signal and express it in the form y[n] = A cos(won + 4).

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a The frequency response is Hej 2 2ej 2ej2 21 ej ej2 2ejej 1 ej 2... View the full answer