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Algebraic Number Precoding for Space–Time Block Codes

机译:时空分组码的代数预编码

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We propose a space–time block coding framework based on linear precoding. The codes for $P$ transmit antennas are formed by transmitting the information vector (with $P$ independent information symbols) $L$ times where each time it is rotated by a distinct precoding matrix. The framework generalizes conventional spatial multiplexing techniques and facilitates tradeoff between rate and diversity. We propose a simple construction for precoding matrices whose parameters are chosen to guarantee maximal diversity using algebraic number theory. Our codes exhibit circular structure, which greatly simplifies the performance analysis and facilitates linear decoding. Theoretical analysis and numerical simulations demonstrated excellent performance of the proposed algebraic precoding framework.
机译:我们提出了一种基于线性预编码的时空块编码框架。 $ P $发射天线的代码是通过将信息矢量(带有$ P $个独立的信息符号)发射$ L $次而形成的,其中每次它被一个不同的预编码矩阵旋转。该框架概括了常规的空间复用技术,并促进了速率和分集之间的权衡。我们为预编码矩阵提出了一种简单的构造,其矩阵选择采用代数数论来保证最大分集。我们的代码具有圆形结构,从而大大简化了性能分析并促进了线性解码。理论分析和数值模拟证明了所提出的代数预编码框架的出色性能。

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