Could I please have the worked solution for the following question:

Using the bilinear transform determine the transfer function, H(z), of a digital notch filter i.e. a narrow band reject filter, starting from an analogue filter described by the transfer function H(s)=s2+4s+1s2+1 The filter should have a zero amplitude response at a frequency of 50 Hz and a sampling interval, T=1/200 seconds, i.e. a sampling frequency, fs=200Hz. Note: In the normalised form shown above H(s) has a zero amplitude response at 0=1rad/sec but this can be de-normalised to locate the zero response at a frequency a by applying the transformation sas to the transfer function. The analogue and digital filter frequencies are related by: a=T2tan[2aT]. The bilinear transformation is given by: sT2[z+1z1]. Remember to pre-warp the analogue filter frequency response using this expression to get it to (b) From H(z) derive the difference equation for the filter and draw in block diagram form a possible physical realisation of the filter