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Math @ Duke
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Publications [#384660] of Robert Calderbank
Papers Published
- Pllaha, T; Tirkkonen, O; Calderbank, R, Reconstruction of Multi-user Binary Subspace Chirps,
IEEE International Symposium on Information Theory Proceedings, vol. 2020-June
(June, 2020),
pp. 531-536 [doi]
(last updated on 2026/01/16)
Abstract: We consider codebooks of Complex Grassmannian Lines consisting of Binary Subspace Chirps (BSSCs) in N =2m 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 onoff 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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