Combinatorics

Physics

Channel (broadcasting)

Tensor (intrinsic definition)

Grassmannian

Topology (electrical circuits)

Pure mathematics

Block (permutation group theory)

Computer network

Mathematics

Wireless

Constellation

Algorithm

Random access

Modulation (music)

Astronomy

Channel state information

Rank (graph theory)

Acoustics

Computer science

Theoretical computer science

Fading

Telecommunications

IEEE Wireless Communications Letters

We introduce a modulation for unsourced massive random access whereby the transmitted symbols are rank-1 tensors constructed from Grassmannian sub-constellations. The use of a low-rank tensor structure, together with tensor decomposition in order to separate the users at the receiver, allows a convenient uncoupling between multi-user separation and single-user demapping. The proposed signaling scheme is designed for the block fading channel and multiple-antenna settings, and is shown to perform well in comparison to state-of-the-art approaches.

Tensor-Based Modulation for Unsourced Massive Random Access