Given:

Analog Pass-band edge $F_{p}=30 \mathrm{Hz}$

Analog Stop-band edge $F_{s}=75 \mathrm{Hz}$

Gain at Pass-band edge $A_{p}=0.89$

Stop band attenuation: $=0.20$

$\therefore$ Gain at Stop-band edge $A_{s}=0.2$

Let, Sampling period $(\mathrm{T})=1$

Step 1: Pre-warp Analog Frequency

Pass-band edge $\Omega_{p}=2 \pi F_{p}=2 \pi \times 30=60 \pi$

Stop-band edge $\Omega_{s}=2 \pi F_{s}=2 \pi …