A discrete-time method is proposed for the estimation and cancellation of intersymbol interference in a digital communication channel. The received signal is first demodulated and sampled and then the fourth-order cumulants of the resulting discrete-time sequence are estimated. The method estimates the channel impulse response from the complex cepstrum of the aforementioned fourth-order cumulants (i.e., tricepstrum). As such, the proposed method depends only on the second- and fourth-order statistics of the transmitted sequence and is capable of reconstructing nonminimum-phase impulse responses. Monte Carlo simulation results demonstrate the effectiveness of the method, its low sensitivity to observation noise, and its improved performance in terms of probability of error of the reconstructed transmitted sequence. Performance comparisons are also given using existing equalization techniques.
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机译：提出了一种离散时间方法，用于估计和取消数字通信信道中的偶尔互动干扰。首先解调和采样接收信号，然后估计产生的离散时间序列的四阶累积物。该方法估计来自上述四阶累积物（即，Tricepstrum）的复杂倒谱系的信道脉冲响应。这样，所提出的方法仅取决于发送序列的第二和四阶统计，并且能够重建非最小相脉冲响应。 Monte Carlo仿真结果证明了该方法的有效性，其对观察噪声的低灵敏度，以及其在重建传输序列的误差概率方面的改进性能。还使用现有均衡技术给出性能比较。
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