Question

A BPSK signal is detected coherently in the presence of AWGN with double-sided power spectral density. The BPSK signal is given by; Signal: FE cos(wet), probability Pų for binary“1 ( - )" and Po for binary “O (+)”. Derive the overall average bit error probability in terms of Ep and y, where Ep is the average bit energy and y is the threshold value. (Show all steps and reasons)

Answer 1

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Giluen Bisk signal is, let S,(t) = EJ? Coswet ost sto set ostsło {phase Shift by º 180] generally, S;lt) El cos (Wet + 8yees]: frantoihi where, i=1,2 l Olt) = 0 OY 180 Ho 66% Transmited Signal energy bér bit 1 Bpsk system is having a signal space with 10 and having two message points that have the co-bidinate points 5,=5" s; (e) q; (e) dt = sa cosa cosulet * Sacosuct co calles is throug LPf) $1= false 8 carat = cose count * casust region Il region a 26b ölj • message s,ft) is located at Soseb, 5g (t) =-66 space region Crossponding to message 140. • alu distance blw message points 26.