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Question: in computer communications at 10 mbps using the ethernet standard...

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In computer communications at 10 Mbps using the Ethernet standard (IEEE 802.3), Manchester or bi-phase pulse formatting is used. Polar mapping is employed such that, in the interval [O,T, a 0 is sent as so(t) = a g(t), and a l is sent as si(t) =-a g(t), where the pulse shape gr(t) is sketched in the figure below: gr(t) 1/T /2 T 1/T (a) Find the impulse response h(t) of the matched filter (MF) for gr(t). (b) Assume that a 0 is sent and no noise is present. The input of the MF is r(t) = so(t). Find the corresponding response y(t) = r(t) * h(t), sampled at t = T. i.e., Y = y(T). What is the value of Y if a is sent? (c) A key advantage of the Manchester format is its capability to detect collisions. To see this, consider two bit sequences from two users. User 1 transmits the sequence 001101 and user 2 the sequence 011011. Sketch the corresponding transmitted sequences s1(t) and s2(t), as well as the received sequence s1(t)+82(t). Comment on your results. Specifically, how is a collision detected?

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