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Several high-speed wireline and wireless communication standards modulate encoded data on multiple carrier frequencies using the inverse Fourier transform (FFT). The real part of the quantized inverse FFT samples form a symbol. The symbol is periodically extended by prepending a copy of its last few samples, a.k.a. a cyclic prefix. When the cyclic prefix is longer than the channel order, amplitude and phase distortion can be equalized entirely in the frequency domain. Prior to the FFT, adoi:10.1109/tsp.2006.877637 fatcat:wmb7fvburbae3grbfxnomujbqq