(Solution) - a Determine the zeros and sketch the zero pattern for -(2025 Original AI-Free Solution)

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(a) Determine the zeros and sketch the zero pattern for the FIR lattice filter with parameters
K1 = ½, K2 = -1/3, K3 = 1
(b) The same as in part (a) but with K3 = -1.
(c) You should have found that all the zeros lie exactly on the unit circle. Can this result be generalized? How?
(d) Sketch the phase response of the filters in parts (a) and (b). What did you notice? Can this result be generalized? How?