This problem illustrates the development of digital filter structures using Homer's...

This problem illustrates the development of digital filter structures using Homer's rule for polynomial evaluation. To this end consider the polynomial

which computes p(x) with the minimum cost of p multiplications and p additions. (a) Draw the structures corresponding to the factorizations

and determine the system function, number of delay elements, and arithmetic operations for each structure

(b) Draw the Horner structure for the following linear-phase system: