The received signal in a binary communication system employs antipodal signals r(t) = s(t) + n(t), with s(t) as shown below and n(t) is AWGN with powers spectral density No/2 W/Hz.

The maximum value at the output of the matched filter to input s(t) is

1
2 Joules
2
3 Joules
3
0.66 Joules
4
1.5 Joules

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