PURPOSE: An OFDM(Orthogonal Frequency Division Multiplexing) system having a 3780-point IDFT(Inverse Discrete Fourier Transform)/DFT(Discrete Fourier Transform) processor and a structure of the 3780-point IDFT/DFT processor are provided to improve the structure of the 3780-point IDFT/DFT processor to be used efficiently in a transmitter and in a receiver. CONSTITUTION: A FEC(Forward Error Correction) part(120) codes an OFDM signal in a frequency domain to sense an error in a receiver side and to correct the error. A mapping part(210) maps the coded OFDM signal in the frequency domain by a mapping method. A 3870-point IDFT processor modulates the OFDM signal in the frequency domain into an OFDM signal in a time domain using a DFT module. And a guard interval insertion part(240) inserts a guard interval to the OFDM signal in the time domain. The 3870-point IDFT processor is constituted with one assembly among an assembly of a 252-point DFT module and a 15-point DFT module, an assembly of a 315-point DFT module and a 12-point DFT module and an assembly of a 420-point DFT module and a 9-point DFT module.
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