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Efficient Computation of the Feedback Filter for the Hybrid Decision Feedback Equalizer in Highly Dispersive Channels

机译:高分散信道中混合决策反馈均衡器反馈滤波器的高效计算

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摘要

The hybrid decision feedback equalizer (DFE) is a combined time-frequency domain implementation of the conventional time-domain DFE that is able to provide a good trade-off between performance and computational complexity in single carrier transmission over severely frequency-selective channels. In the hybrid DFE the implementation of the feedforward filter is done in the frequency domain, while the feedback filter (FBF) is implemented in the time-domain. The computation of the coefficients for the two filters is usually done in the same domain where they are implemented. A method for frequency-domain computation of the FBF is proposed in the paper. As is known, the key operation in the computation of the FBF is the spectral factorization. In the paper it is proposed to adopt the (cepstral) method for spectral factorization due to Kolmogoroff, which can be efficiently implemented by using the fast Fourier transform (FFT). The application of the method is considered for highly dispersive channels. By using simulations we show that for this type of channels the performance of the proposed method is virtually the same as that obtained by using time-domain approaches. The advantage of the proposed approach is that the efficient FFT gives a substantial reduction of complexity compared to time-domain methods.
机译:混合判决反馈均衡器(DFE)是常规时域DFE的时频组合实现,能够在严重的频率选择信道上的单载波传输中在性能和计算复杂度之间提供良好的折衷。在混合DFE中,前馈滤波器的实现是在频域中完成的,而反馈滤波器(FBF)则是在时域中实现的。两个滤波器的系数的计算通常在实现它们的同一个域中完成。提出了一种BFB的频域计算方法。众所周知,FBF计算中的关键操作是频谱分解。在本文中,由于Kolmogoroff,提出了采用(倒谱)方法进行频谱分解的方法,该方法可以通过使用快速傅里叶变换(FFT)有效地实现。该方法的应用考虑用于高度分散的通道。通过使用仿真,我们表明对于这种类型的信道,所提出的方法的性能实际上与使用时域方法获得的性能相同。所提出的方法的优点在于,与时域方法相比,有效的FFT大大降低了复杂度。

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