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Problem 1: a) Given is the following circuit. Find analytically the impulse response h(t) of the system where and .

V_in(t)=1 for 0 <= t <= 1sec. and 0 otherwise.

b) We obtain by convolving the impulse response and the given input signal. Find the analytical expression for .

Problem 2: Convolution and Causality

In this part, we want to investigate how convolution affects causality. A signal will be considered causal if it is zero for time t<0 and non-causal otherwise.

Signal 1:	Signal 2:
Rectangular Triangular Delta Shifted Delta Exponential Sinc Non Causal Causal	Rectangular Triangular Delta Shifted Delta Exponential Sinc Non Causal Causal

Start					Stop/Reset

• (a) Convolute a causal rectangular signal and a non causal rectangular signal (Take the screenshot and label the graph as graph1)
• (b) Convolute a causal rectangular signal and a causal rectangular signal (Take the screenshot and label the graph as graph2)
• (c) Convolute a non causal rectangular signal and a non causal sinc signal (Take the screenshot and label the graph as graph3)

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