A linear digital filter Hd(z) is given below, and the sampling rate is T=0.1 seconds.
Hd(z)=(z-j)(z+j)/(z-0.5)(z+0.5)
1. Show poles and zeros of Hd(z)in the complex z plane. Is this filterstable?
2. Specify the range of acceptable input frequencies fm and wm=2*pie*f for this filter where pie=3.14159....
3. At w=0, w=.5 wm and w=wm ,derive GRAPHICALLY the gain and phase of this digital filter. Only the graphical approach is acceptable for credit.