Most of the circuit analysis are performed using both the linear and time-invariant properties. Using these properties,

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Most Of The Circuit Analysis Are Performed Using Both The Linear And Time Invariant Properties Using These Properties 1 (35.3 KiB) Viewed 20 times

Most of the circuit analysis are performed using both the linear and time-invariant properties. Using these properties, the analysis can be simplified as a linear-time invariant (LTI) system. The LTI system is performed using a convolution operation that comprises of an input signal, an output signal and an impulse response as shown in Figure Q2. From the figure, the system is represented by the impulse response, h(t). The input signal, x(t) is given to the system to produce the output signal, y(0). Answer all the questions below: x(t) y(0) h(t) Figure Q2 (a) Given an impulse response, h(t) as shown in Figure Q2(a) and an input signal, X(t) as expressed in equation (1), use the convolution operation to analyze the output signal, y(t). Sketch the graph of the output signal, y(t). x(t) = u(t - 5) -uſt - 7) (1) (18 marks) h(t) 3 2 1 - 1 0 1 2 31 8 -1 -2 3 Figure Q2(a)