QUESTION 1 (15 x 2 = 30 POINTS) Determine if the following statements are True or False. You need to provide a brief justifi- cation for your answer to get credit. a) The complex baseband representation of g(t) cos(27 fet + 5) is equal to g(t). b) The spectrum of u(t) = 2g(t) cos(27 fet+3) is given by U(f) = eja/8 [G(f fe) +G(f + f.)]. c) OOK stands for binary on-off keying d) The maximum likelihood (ML) detector also minimizes the error probability as long as the prior probabilities of the symbols are all nonzero. e) Matched filter is optimum in the sense that it maximizes the signal energy. f) QPSK, 4-PSK, and 4-QAM are three names for the same modulation. g) All Hamming codes have a minimum distance of 4. h) Every linear block code contains a codeword with only zeros. i) The matched filter receiver gives a lower bit error probability than the correlation receiver. j) The union bound on the probability of error approximation is only accurate when the signal-to-noise ratio is close to zero. k) Inter-symbol interference occurs when the Nyquist criterion is satisfied. 1) The symbol time is proportional to the bandwidth (i.e., larger bandwidth means larger symbol time.) m) The product of the parity-check matrix H and the corresponding generator matrix G gives the identity matrix. n) Gray codes are used to reduce the bit error probability. o) The eye pattern is affected by the choice of basis function