The figure below shows a signalling scheme with signals s1(t) and s0(t) in an AWGN channel of…

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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