Meaning
Guard intervals created by duplicating the end of an orthogonal frequency division multiplexing symbol and appending it to the beginning prevent interference between consecutive blocks. This duplicated segment preserves the orthogonality of the subcarriers in the presence of multipath dispersion. It transforms the linear convolution of the channel into a circular convolution, allowing simple frequency-domain equalization.
Inherent Protection
Multipath propagation causes delayed versions of a transmitted symbol to arrive at the receiver during the subsequent symbol window. By inserting a cyclic prefix that exceeds the maximum delay spread of the channel, the receiver can discard the corrupted portion of the symbol. This mechanism eliminates the destructive effects of inter-symbol interference.
The remaining portion of the symbol remains free from adjacent symbol energy. Thus, the guard interval ensures that the orthogonality among subcarriers is maintained even in highly dispersive environments.
Mathematical Function
Circular convolution in the time domain is mathematically equivalent to point-wise multiplication in the frequency domain. Equalization is simplified because the receiver can correct each subcarrier with a single-tap equalizer. Without this cyclic structure, complex multi-tap time-domain equalizers would be necessary to recover the data.
Transmission Overhead
Adding redundant samples reduces the effective data rate of the system. Design engineers must balance the duration of the guard interval against the expected delay spread of the target operating environment. A longer interval protects against severe multipath but increases the percentage of transmission time wasted on non-information-bearing data.