Consider a three-point moving-average discrete-time filter described by the difference equation y [ n ) = t{x[ n ) +x [ n - 1) +x [ n - 2]}
(a) Find and sketch the impulse response h[ n ] of the filter.
(b) Find the frequency response H( fl) of the filter.
(c) Sketch the magnitude response I H(fl)I and the phase response O( fl) of the filter.