Suppose that you were implementing an OFDM system over a real baseband channel.

Question

Suppose that you were implementing an OFDM system over a real baseband channel. Modifying (8.40) to center the transmitted signal around the origin, we have u(t) =e^-j pi(N-1)t/T sigma_n=0^N-1 B[n]e^j2 pi nt/T I_[0, T]. What is the constraint on the frequency domain symbols B[n] such that the time domain signal u(t) is real-valued? Can you choose {B[n]} from a complex-valued constellation? What is the bandwidth of the signal u(t), as a function of N and T? For N = 512, a cyclic prefix of 50 samples, and a sampling rate of 2 MHz, what is the bandwidth and inter-carrier spacing of the baseband channel used? What is the maximum channel delay spread that the system is designed for?

Explanation / Answer

The OFDM over a real baseband channel and modify the transmitted signal around the origin. The constraints of the frequency domain signalsuch that the time domain signal u(t)is real valued a complete complex of valued constellation and the bandwidth oh the signal as a function of N and T.

The sampling rate of the bandwidth and inter carrier spacing of the baseband channel and maximum channel delay spread that a system is designed for the above sampling rate.

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