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Computer Science > Information Theory

arXiv:1410.4986 (cs)
[Submitted on 18 Oct 2014 (v1), last revised 24 Jun 2015 (this version, v2)]

Title:Code Construction and Decoding Algorithms for Semi-Quantitative Group Testing with Nonuniform Thresholds

Authors:Amin Emad, Olgica Milenkovic
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Abstract:We analyze a new group testing scheme, termed semi-quantitative group testing, which may be viewed as a concatenation of an adder channel and a discrete quantizer. Our focus is on non-uniform quantizers with arbitrary thresholds. For the most general semi-quantitative group testing model, we define three new families of sequences capturing the constraints on the code design imposed by the choice of the thresholds. The sequences represent extensions and generalizations of Bh and certain types of super-increasing and lexicographically ordered sequences, and they lead to code structures amenable for efficient recursive decoding. We describe the decoding methods and provide an accompanying computational complexity and performance analysis.
Subjects: Information Theory (cs.IT)
Cite as: arXiv:1410.4986 [cs.IT]
  (or arXiv:1410.4986v2 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.1410.4986

Submission history

From: Amin Emad [view email]
[v1] Sat, 18 Oct 2014 18:20:15 UTC (239 KB)
[v2] Wed, 24 Jun 2015 21:54:41 UTC (244 KB)
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