Question

What are the lattice coefficients corresponding to the FIR filter with system function H(z)= 1+(13/24)z^-1+(5/8)z^-2+(1/3)z^-3?

(a) (1/2,1/4,1/3)

(b) (1,1/2,1/3)

(c) (1/4,1/2,1/3)

(d) None of the mentioned

I had been asked this question in class test.

Enquiry is from Structures for FIR Systems in section Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

The correct option is (c) (1/4,1/2,1/3)

The explanation is: Given the system function of the FIR filter is

H(z)= 1+(13/24)z^-1+(5/8)z^-2+(1/3)z^-3

Thus the lattice coefficients corresponding to the given filter is (1/4,1/2,1/3).