The system function H_II(z) represents a type II FIR generalized linear-phase system with impulse response h_II[n]. This system is cascaded with an LTI system whose system function is (1 – z^–1) to produce a third system with system function H(z) and impulse response h[n]. Prove that the overall system is a generalized linear-phase system, and determine what type of linear phase system it is.