Question four
a) In an LTI discrete-time system with impulse response
h[n] = u[n],
find the output signal y[n] to an input signal given by
x[n] = [u[n]].
b) Find the discrete-time Fourier Transform of
r[n] = u[n]
and call it X(e). (Hint: Use the information given on page 2)
c) Determine and sketch |X(e)|, i.e., the magnitude of X(e) that you found in part (b), for [2,2].
d) Consider a continuous-time system described by y = x(1 - 2t), where x is the input signal and yt is the output signal.
I. Is this system linear? Why?
II. Is this system time-invariant? Why?
Total: (20 marks)