There was a small black box that could not be opened to determine what was inside, but there were four terminals visible and accessible. A pair were marked input, the other pair were marked output. Our task was to determine what the circuit's transfer function might be. An impulse was simulated by creating a one teravolt (TV) high triangular pulse by \(2 \mathrm{ps}\) width. This was applied to the input of the box. The output was observed as a decaying exponential as shown in Figure P11-74.

(a) Using the available data, find the impulse response of the unknown circuit.

(b) Design a likely circuit that has the same impulse response as what is in the box.

(c) Comment on the reasonableness of the approach to determine what is in the box. That is, how critical is the design of the impulse to achieve a correct result?