7. Binary phase-shift keying (BPSK) is a simplified version of the QPSK system described in Example 7.1. One version of the system transmits the bit b, 0 or 1, with the waveform x.(0) = cos (21/1 +*+ bx) OSIST for suitable choices of frequency fo and time duration 7. For purposes of this example, assume fo 1 and T = 1. (a) Sketch the ensemble of this process. (b) Can the two bits be distinguished at time1 = 0.25 s? Why or why not? (c) Suppose random bit noise with p(0) = 8 and p() = 2 is transmitted via BPSK, and call the insulting random process XD). Find the probability distributions of XO and of X.5. 7. Binary phase-shift keying (BPSK) is a simplified version of the QPSK system described in Example 7.1. One version of the system transmits the bit b, 0 or 1, with the waveform x.(0) = cos (21/1 +*+ bx) OSIST for suitable choices of frequency fo and time duration 7. For purposes of this example, assume fo 1 and T = 1. (a) Sketch the ensemble of this process. (b) Can the two bits be distinguished at time1 = 0.25 s? Why or why not? (c) Suppose random bit noise with p(0) = 8 and p() = 2 is transmitted via BPSK, and call the insulting random process XD). Find the probability distributions of XO and of X.5