A continuous-time LTI system has the input/output relationship y(t) = etx(2 - 2)da y(t)%3D Determine the impulse response h(t) of the system. Compute the output response y(t) when x (t) is given below: a. b. x(t) 2 4

It is known that u(t) is a unit step signal and a Linear Time Invariant (LTI) system has an impulse response given by h(t) = (4t+1) u(t–2) + (-4t–1)u( t). The LTI system above is then evaluated by passing the input signal x(t) = 2u(t–1) –2u(t–2) into the system. a) Show mathematically whether the above system is a stable system or not and explain your answer completely and explain whether the system is a causal system! b) Draw the input signal for the system above and also describe the impulse response of the system! c) If y(t) is the output signal of the LTI system above, then determine the value of the y(t) signal for each t value!   (use simple way)

Compute the energy and power of the following signal: x[n] = 2 (u[n]u[n - 6]) where u[n] denotes a discrete-time unit step function. ( n

(b) The top panel in Figure 1 shows the input and the impulse response of an LTI system. Sketch the output of the system. Note: No mathematical work is needed, use a graphical approach. x(t) h(t) 2 2 1 1 t -5 -1 1 -3 3 y(t) Figure 1: Figure for Problem 1(b).