The figure below shows a signalling scheme with signals

s1(t) and s0(t) in an AWGN channel of zero-mean and PSD N0/2.

a. Design a matched-filter receiver that decides in favour

of signals s1(t) and s0(t) over the observation interval 0 _ t _ 3

T, assuming that these two signals are equiprobable. Determine the

corresponding error probability at the receiver output.

b. Now assuming that s1(t) and s0(t) both carry three bits

over the observation interval 0 _ t _ 3 T, design a matchedfilter

receiver that decides in favour of each of the equiprobable bits carried by

s1(t) and s0(t) over (i-1)

The figure below shows a signalling scheme with signals

s1(t) and s0(t) in an AWGN channel of zero-mean and PSD N0/2.

a. Design a matched-filter receiver that decides in favour

of signals s1(t) and s0(t) over the observation interval 0 _ t _ 3

T, assuming that these two signals are equiprobable. Determine the

corresponding error probability at the receiver output.

b. Now assuming that s1(t) and s0(t) both carry three bits

over the observation interval 0 _ t _ 3 T, design a matchedfilter

receiver that decides in favour of each of the equiprobable bits carried by

s1(t) and s0(t) over (i-1)T _ t _ iT. Determine the corresponding

error probability at the receiver output.

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