In a binary phase shift keying (BPSK) communications system, one of two equally probable bits, 0 or 1, must be transmitted every T seconds. If the kth bit is j ∈ {0, 1}, the waveform x j(t) = cos(2π f0t + jπ ) is transmitted over the interval [(k - 1)T, kT]. Let X(t) denote the random process in which three symbols are transmitted in the interval [0, 3T ]. Assuming f= is an integer multiple of 1/T , sketch the sample space and corresponding sample functions of the process X(t).