1. Numerical Approximation of the Convolution Integral (Adapted from Computer Explorations in Signals and Systems Using MATLAB, Prentice Hall, 2002.) The convolution integral represents the input-output relationship of a linear and time-invariant system and is given as follows: y(t)f(r)h(t T)dT-f (t) h(t), where the input f (t) and the impulse response h(t) are causal infinite duration signals (i.e.,f(t) = h(t) = 0 for t