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1. Suppose that we have a BPSK system with a phase error between transmitter and receiver. That is, the receiver assumes that the transmitted signal

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1. Suppose that we have a BPSK system with a phase error between transmitter and receiver. That is, the receiver assumes that the transmitted signal is T2Ecos(2fct) for 0tT, but the transmitter actually sends the signal T2Ecos(2fct+). (In both cases the - signal is associated with the data bit 0 , and the + signal with the data bit 1). Compete Pe for this system in terms of E6,N0 and . If the phase error is 10 degrees, by bow mazy dB must we increase Eb to get the same Pe as a standard BPSK system? Repeat for =20 degroes. (Hint: You must recompute new signal vectors s0 and s1, and then analyze the problem as in standard BPSK. Remember that the correlator receiver is exactly the same as for standard BPSK; only the transmitted signals have changed.)

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