Figure P7.30 shows a system consisting of a continuous-time LTI system followed by a sam...

Figure P7.30 shows a system consisting of a continuous-time LTI system followed by a sampler, conversion to a sequence, and an LTI discrete-time system. The continuous-time LTI system is causal and satisfies the linear, constant-coefficient differential equation

The input is a unit impulse δ(t).

(a) Determine

(b) Determine the frequency response and the impulse response h[n] such that w[n] = δ[n]