a. An IIR filter is defined by the transfer function -2 1+3z+4z 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.

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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.
Transcribed Image 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.
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