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(b) Write appropriate difference equations to implement the polyphase version of thesystem.3.FFT properties: (30 Pts)1
ECE 513 - Homework 624.FIR Lattice Filter: (20 Pts)Consider an FIR lattice filter with coefficientsK1= 0.8,K2=-0.47,K3= 0.75.(a) Draw the lattice structure of this FIR filter.(b) Find its impulse response by tracing a unit impulse input(δ(n)) through the latticestructure.(c) Draw the equivalent direct-form structure.5.FIR Lattice Filter: (20 Pts)The system transfer function for a linear phase FIR filteris given asH(z)=0.1325-0.0867z-1+ 0.4205z-2+ 1.3592z-3+0.4205z-4-0.0867z-5+ 0.1325z-6(5)We want to implement this filter using FIR lattice sections. However, we obtained the