Consider the following normalized lowpass filter with a cutoff frequency of 1 rad/sec:
Hp(s)=1/s+1
Use the above transfer function and BLT to design a corresponding IIR digital lowpass filter with a cutoff freqency of 15 Hz and a sampling rate of 120 Hz.
a. Write the transfer function of the digital filter.
b. Write the Matlab command to plot the magnitude and phase response for the designed filter.