# Consider an OFDM system, with 1024 subcarriers, operating over B = 10 MHz bandwidth at 1 GHz carrier

Consider an OFDM system, with 1024 subcarriers, operating
over B = 10 MHz bandwidth at 1 GHz carrier frequency. This system is allowed to
take the ratio of cyclic prefix duration TG to that of the symbol duration, T,
as TG/T = 1/4,1/8,1/ 16 or 1/32.

a. Assume first that this system operates in outdoor
environment with a maximum excess delay of 20 _s. What length cyclic
prefix is needed for this system? What is the throughput efficiency?

b. Repeat part (a) for an indoor environment with a maximum
excess delay of 1 _s.

c. If the number of OFDM tones is fixed, derive the
throughput

Consider an OFDM system, with 1024 subcarriers, operating
over B = 10 MHz bandwidth at 1 GHz carrier frequency. This system is allowed to
take the ratio of cyclic prefix duration TG to that of the symbol duration, T,
as TG/T = 1/4,1/8,1/ 16 or 1/32.

a. Assume first that this system operates in outdoor
environment with a maximum excess delay of 20 _s. What length cyclic
prefix is needed for this system? What is the throughput efficiency?

b. Repeat part (a) for an indoor environment with a maximum
excess delay of 1 _s.

c. If the number of OFDM tones is fixed, derive the
throughput efficiency in terms of N, TG and B. How does the throughput
efficiency change as a function of the bandwidth? How does the efficiency
change as a function of the maximum excess delay?

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