A method of communication using Orthogonal Frequency Division Multiplexing ("OFDM") includes a step of generating bit streams and the corresponding sets of frequency domain carrier amplitudes modulated as OFDM symbols to be transmitted. A next step includes inserting prefixes as guard intervals in said sample streams. A next step includes transmitting said OFDM symbols. A next step includes using prefix information to estimate the Channel Impulse Response of the transmission channels. A next step includes using the estimated Channel Impulse Response to demodulate said bit streams in the received signals, wherein said prefixes are deterministic and are known to both the receiver and transmitter. The prefixes can be a vector common to the symbols and multiplied by a weighting factor that is different between symbols. The weighting factor can have a complex pseudo-random value.
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