This work studies the design of linear precoder codebooks for Nr × Nt MIMO channels with MMSE detection at the receiver. A natural split of precoder-design is unitary precoding and non-unitary precoding. Unitary precoding is only performing rotation of the data in a way beneficial for the channel. Non-unitary precoding additionally also uses power-loading to further improve the performance. Somewhat surprisingly, unitary precoding facilitates a performance boosting by a re-enumeration of the antenna elements at the receiver side that can not be accommodated in the non-unitary precoding setting. This operation leads to substantial performance gains. The question investigated in this paper is whether this re-enumeration can compensate for the lack of power-loading. The outcome is that for small precoder codebooks, unitary precoding performs as good as non-unitary, while for larger codebooks non-unitary precoding outperforms unitary precoding.
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机译：这项工作研究了具有接收器MMSE检测的N r ×N t MIMO信道的线性预编码器码本的设计。预编码器设计的自然划分是单一预编码和非单一预编码。单一预编码仅以有益于信道的方式执行数据旋转。非单一预编码还另外使用功率负载来进一步改善性能。出乎意料的是，统一预编码通过重新枚举接收器侧的天线元素而无法实现非统一预编码设置，从而促进了性能的提升。此操作可显着提高性能。本文研究的问题是这种重新枚举是否可以弥补功率负载的不足。结果是，对于小型预编码器码本，统一预编码的性能与非统一预编码一样好，而对于较大码本，非统一预编码的性能优于统一预编码。
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