Filter is given by the system function H(z)=1+ (1/3)z-1 +(1/4) z-2 +(1/4) z-3 +(1/3) z-4 + z-5 Implement the filter with a minimum number of multipliers. will the filter have linear phase characteristics?

Solution:

The given $H(z)$ has the linear phase Symmetry property.