$5$ Consider the binary orthogonal signals given in Figure $3,$ for transmitting information over AWGN, the noise assumed to have zero mean and power spectral density $\backslash (\backslash$mathrm$\{$N$\}\_\{0\}/2\backslash ).$ Determine the impulse response of the matched filter demodulators and the output waveforms of the matched filter demodulator when the signal transmitted is $\backslash ($ s$\_\{1\}($t$)\backslash )$ and sketch, the conditional probability density function.

rigure