a. An IIR filter is defined by the transfer function 1+3z-1+4z-2 H(z)=- 1+0.4z 1+4z¬2 i. Find poles and zeros of a system and check whether the system is stable or unstable. ii. Draw the Direct Form-l...

Extracted text: a. An IIR filter is defined by the transfer function 1+3z-1+4z-2 H(z)=- 1+0.4z 1+4z¬2 i. Find poles and zeros of a system and check whether the system is stable or unstable. ii. Draw the Direct Form-l and Direct Form-|| Block diagram realization of the system. b. The normalized lowpass filter with a cutoff frequency of 1 rad/sec is given as Hp(s)= 1 S+1 Use the given H,(s) and the BLT method to design a first order low pass Butterworth digital IIR filter with a cutoff frequency of 15 Hz and a sampling rate of 90 Hz.