B write appropriate difference equations to implement

(b) Write appropriate difference equations to implement the polyphase version of the
system.
3. FFT properties: (30 Pts)
1

ECE 513 - Homework 6 2
4. FIR Lattice Filter: (20 Pts)
Consider an FIR lattice filter with coefficients K
1
= 0 . 8, K
2
= - 0 . 47, K
3
= 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 lattice
structure.
(c) Draw the equivalent direct-form structure.
5. FIR Lattice Filter: (20 Pts) The system transfer function for a linear phase FIR filter
is given as
H ( z ) = 0 . 1325 - 0 . 0867 z
- 1
+ 0 . 4205 z
- 2
+ 1 . 3592 z
- 3
+0 . 4205 z
- 4
- 0 . 0867 z
- 5
+ 0 . 1325 z
- 6
(5)
We want to implement this filter using FIR lattice sections. However, we obtained the