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The discrete Fourier transform
Theory of signal distortion
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adaptive equalization additive white Gaussian amplitude distortion channel and linear channel in Fig circulant matrix coefficients complex conjugate convolution correct detection corresponding data-symbol data-transmission system decision-feedback equalizer delay detection process equalized signal error burst error probability error rate feedforward transversal filter filter F Gaussian random variables given by Equation high signal/noise ratios i+ l)th IEEE IEEE Trans integer intersymbol interference l)-component linear baseband channel linear equalizer linear feedforward transversal linear filter lowpass filter matrix mean and variance mean-square error n-component row vector noise component nonlinear filter optimum orthogonal probability density function probability of error pure nonlinear equalizer pure phase distortion real-valued received signal row vector sampled impulse-response sampling intervals seen from Equations shown in Fig signal distortion signal element statistically independent tap gains tolerance to additive tolerance to noise transmission path transmitted unit circle variables with zero white Gaussian noise z-transform zero mean zeros of Y(z