2.  System Identification: LTI systems are useful in modeling numerous physical
processes. In many cases, the model or the impulse response of the LTI system can be
deduced from external observations. Such observations might include measuring the
response to a known input x(nJ. Using the convolution property of Fourier transform, one
can solve for the impulse response. Since H(w) = hin] can be obtained using the
inverse Fourier transform.
a. (4) Suppose that the response of a particular LTI system to the input
xml = (ý’ un were yin] = ujnj + uInl. Store in x and y the values
of x[nJ and y[nJ on the interval O n N — 1, where N = 64. Plot these signals using
stem to show that the signals are essentially equal to zero outside this interval.