Problem 1: 2.3 A data signal consists of an infinite sequence of rectangular pulses of duration T. That is, s(t) = Σbipr(t-IT), |=-00 where pr(t) is 1 for 0 ≤ t

≤ T and 0 elsewhere. The data is represented by b, and is either +1 or - 1. The signal is filtered by a low- pass RC filter with impulse response h(t) = ae-u(t), where u(t) is one for t < 0 and is 0 otherwise. The filter output is sampled every T seconds. 128 (a) Find an expression for the output of the filter at time in terms of bo, b_1, b_2, ... (b) Suppose that bo = +1. Find the largest and smallest possible value (over all possible data sequences except bo) of the sampled output.