# Digital terrestrial TV broadcasting systems use OFDM for TV transmissions. Consider such a system…

Digital terrestrial TV broadcasting systems use OFDM for TV
transmissions. Consider such a system operating in a multipath environment with
a maximum excess delay of 10 _s. The system specification is such that the
duration TG of the cyclic prefix is equal to or greater than 1/16 of the OFDM
symbol duration T.

a. Determine the OFDM symbol duration and the frequency
spacing between nearest sub-carriers.

b. If a terrestrial digital TV broadcasting channel is
allocated a bandwidth of 4 MHz, determine the number N of subcarriers in this
OFDM system. Note that the number of subcarriers should

Digital terrestrial TV broadcasting systems use OFDM for TV
transmissions. Consider such a system operating in a multipath environment with
a maximum excess delay of 10 _s. The system specification is such that the
duration TG of the cyclic prefix is equal to or greater than 1/16 of the OFDM
symbol duration T.

a. Determine the OFDM symbol duration and the frequency
spacing between nearest sub-carriers.

b. If a terrestrial digital TV broadcasting channel is
allocated a bandwidth of 4 MHz, determine the number N of subcarriers in this
OFDM system. Note that the number of subcarriers should be expressed as N = 2n
where n is an integer so as to allow FFT and IFFT needed for the OFDM
transceiver. Using the value of N thus found, recalculate the corresponding values
of T and TG. Are the requirements stated above all satisfied? If no, what is
your suggestion for designing this system?

c. Assuming that, including coding and overhead bits, a data
rate of 4 Mbps is sufficient for the transmission of a TV channel, what would
be the alphabet size M of a M-QAM modulation used for broadcasting.

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