System S1 has a real impulse response h1[n] and a real-valued frequency responseH1(ejω).
(a) Does the impulse response h1[n] have any symmetry? Explain.
(b) System S2 is a linear-phase system with the same magnitude response as system S1. What is the relationship between h2[n], the impulse response of system S2, and h1[n]?
(c) Can a causal IIR filter have a linear phase? Explain. If your answer is yes, provide an example.
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