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2. A signal r, t) is passed through a linear filter whose impulse response is he). The output signal ro (t) of the linear filter is sampled at the symbol period of T. he signal r,(t) is given as (t)t)+n and the n(t) is the AwGN with noise variance of σ-N0/2. Note that s(t) is a complex signal. You have to show your work in detail for the full credit. n(t) where s(t) has the energy of E (a) Derive the maximum SNR of r (t) at the symbol period of T in terms of E, and No. (10 pts) (b) From (a), derive h(t) in terms of s(t) and T in order to achieve the maximunm SNR. 10 pts)
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