Reconstruction of Multi-user Binary Subspace Chirps
2020 IEEE International Symposium on Information Theory (ISIT)(2020)
摘要
We consider codebooks of Complex Grassmannian Lines consisting of Binary Subspace Chirps (BSSCs) in N =2
m
dimensions. BSSCs are generalizations of Binary Chirps (BCs), their entries are either fourth-roots of unity, or zero. BSSCs consist of a BC in a non-zero subspace, described by an on-off pattern. Exploring the underlying binary symplectic geometry, we provide a unified framework for BSSC reconstruction-both on-off pattern and BC identification are related to stabilizer states of the underlying Heisenberg-Weyl algebra. In a multi-user random access scenario we show feasibility of reliable reconstruction of multiple simultaneously transmitted BSSCs with low complexity.
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关键词
multiuser binary subspace chirps,complex Grassmannian lines,nonzero subspace,binary symplectic geometry,BSSC reconstruction,BC identification,Heisenberg-Weyl algebra,multiuser random access scenario,reliable reconstruction,multiple simultaneously transmitted BSSC,on-off pattern,stabilizer states
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