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Lattice-Based Analog Mappings for Low-Latency Wireless Sensor Networks

Information Theory 2024-01-31 v1 math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.2401.16952,
  title  = {Lattice-Based Analog Mappings for Low-Latency Wireless Sensor Networks},
  author = {Pedro Suárez-Casal and Óscar Fresnedo and Darian Pérez-Adán and Luis Castedo},
  journal= {arXiv preprint arXiv:2401.16952},
  year   = {2024}
}
R2 v1 2026-06-28T14:31:40.603Z