We present a multiple-input multiple-output (MIMO) extension of the timing error detector (TED) that was originally developed by Mueller and Muller for synchronization on pulse-amplitude modulation over 1-D channels. This MIMO extension applies to the joint detection of multiple asynchronous tracks from one or more readback waveforms in a two-dimensional magnetic recording (TDMR) channel. We provide accurate theoretical expressions of the performance of the proposed scheme and verify its applicability on a modern MIMO TDMR channel. Performance results show that the proposed TED outperforms the conventional 1-D TED that completely ignores the presence of crosstalk interference in MIMO channels.

中文翻译：

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Mueller 和 Müller 时序误差检测器的多输入多输出扩展

我们提出了定时误差检测器 (TED) 的多输入多输出 (MIMO) 扩展，它最初由 Mueller 和 Muller 开发，用于在 1-D 通道上同步脉冲幅度调制。此 MIMO 扩展适用于从二维磁记录 (TDMR) 通道中的一个或多个回读波形中联合检测多个异步轨道。我们提供了所提出方案性能的准确理论表达式，并验证了其在现代 MIMO TDMR 信道上的适用性。性能结果表明，所提出的 TED 优于传统的一维 TED，后者完全忽略了 MIMO 信道中串扰的存在。