) Given a digital filter with the following numerator anddenominator coefficient vectors, respectively: Num= 8.831, 16.234,25.118, 16.234, 8.831, and Den= 1.0000, 1.7342, 2.5277, 1.5502,0.7998. (a) Find the poles and zeros of the filter transferfunction. Is the filter stable? (b) Plot the magnitude and phase ofH(e jω) of the filter. Hence, determine the type of filter (LP, HP,BP, or Notch) it represents. (c) Determine the 3-dB bandwidth ofthe filter. (d) If the sampling period is T = 0.5 µsec, determinethe 3-dB bandwidth in Hz.
