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Performance of Reduced-Rank Equalization

机译：降秩均衡的性能

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摘要

We evaluate the performance of reduced-rank equalizers for both single-input single-output (SISO) and multiple-input multiple-output (MIMO) frequency-selective channels. Each equalizer filter is constrained to lie in a Krylov subspace, and can be implemented as a reduced-rank multistage Wiener filter (MSWF). Both reduced–rank linear and decision-feedback equalizers (DFEs) are considered. Our results are asymptotic as the filter length goes to infinity. For SISO channels, the output mean-squared error (MSE) is expressed in terms of the moments of the channel spectrum. For MIMO channels, both successive and parallel interference cancellation are considered. The asymptotic performance in that case requires the computation of moments, which depend on shifted versions of the channel impulse response for different users. Those are also expressed in terms of the MIMO channel frequency response. Numerical results are presented, which show that near full-rank performance can be achieved with relatively low-rank equalizers.
机译：我们评估了单输入单输出（SISO）和多输入多输出（MIMO）频率选择通道的降秩均衡器的性能。每个均衡器滤波器都被约束为位于Krylov子空间中，并且可以实现为降阶多级维纳滤波器（MSWF）。同时考虑了降秩线性均衡器和决策反馈均衡器（DFE）。随着滤波器长度达到无穷大，我们的结果是渐近的。对于SISO通道，输出均方误差（MSE）用通道频谱的矩表示。对于MIMO信道，考虑了连续干扰消除和并行干扰消除。在这种情况下，渐近性能需要计算矩，这些矩取决于不同用户的信道冲激响应的偏移版本。这些也以MIMO信道频率响应来表示。数值结果表明，使用较低等级的均衡器可以达到接近满等级的性能。

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