PROBLEM 10.1. Suppose you are working in the lab and need to somehow record a real-valued continuous- time signal 2(t) so that it can be stored in memory and later recreated with perfect fidelity, namely, so that the recreated version y(t) is identical to the original (t). Suppose further that the bandwidth of x(t) is 40 kHz, meaning that its Fourier transform X(j21 f) is nonzero only for frequencies satisfying |f|