We consider the transmission of spatially correlated analog information in a wireless sensor network (WSN) through fading single-input and multiple-output (SIMO) multiple access channels (MACs) with low-latency requirements. A lattice-based analog joint source-channel coding (JSCC) approach is considered where vectors of consecutive source symbols are encoded at each sensor using an n-dimensional lattice and then transmitted to a multiantenna central node. We derive a minimum mean square error (MMSE) decoder that accounts for both the multidimensional structure of the encoding lattices and the spatial correlation. In addition, a sphere decoder is considered to simplify the required searches over the multidimensional lattices. Different lattice-based mappings are approached and the impact of their size and density on performance and latency is analyzed. Results show that, while meeting low-latency constraints, lattice-based analog JSCC provides performance gains and higher reliability with respect to the state-of-the-art JSCC schemes.

翻译：我们考虑具有低延迟要求的无线传感器网络（WSN）中，通过衰落单输入多输出（SIMO）多址接入信道（MAC）传输空间相关模拟信息。提出一种基于格子的模拟联合信源信道编码（JSCC）方法，其中每个传感器使用n维格子对连续信源符号向量进行编码，然后传输至多天线中心节点。我们推导了能够同时兼顾编码格子多维结构与空间相关性的最小均方误差（MMSE）解码器。此外，采用球形解码器简化对多维格子的搜索过程。研究了不同基于格子的映射方案，并分析了其尺寸与密度对性能及延迟的影响。结果表明，在满足低延迟约束条件下，基于格子的模拟JSCC相比现有先进JSCC方案能够实现性能增益与更高的可靠性。