A digital Filter is defined by the following difference equation y(n)= 0.99 y(n-1) + x(n) Answer...

 

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A digital Filter is defined by the following difference equation y(n)= 0.99 y(n-1) + x(n) Answer the following questions and justify your answers- 1) Find the transfer function and impulse response of the filter. 2) Plot the system poles and zeros 3) Find Frequency response, magnitude and phase. 4) Is this filter stable? Recursive? 5) What kind of a filter is this, LP, HP, or ......? 6) Plot Magnitude and phase A digital Filter is defined by the following difference equation y(n)= 0.99 y(n-1) + x(n) Answer the following questions and justify your answers- 1) Find the transfer function and impulse response of the filter. 2) Plot the system poles and zeros 3) Find Frequency response, magnitude and phase. 4) Is this filter stable? Recursive? 5) What kind of a filter is this, LP, HP, or ......? 6) Plot Magnitude and phase