A system is called complex if a real-valued input can produce a complex-valued output. Suppose a linear, time-invariant complex system has an impulse response of
h(t)= j[u(-t+2)-u(-t)]
(a) is this system causal? Explain.
(b) Use convolution to determine the zero state response y1(t) of this system in response to the unit-duration pulse x1(t)=u(t)-u(t-1).
(c) Using the results from part b, determine the zero-state response y2(t) in response to x2(t)=2u(t-1)-u(t-2)-u(t-3)