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      Statistical Analysis of a Posteriori Channel and Noise Distribution Based on HARQ Feedback

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          Abstract

          In response to a comment on one of our manuscript, this work studies the posterior channel and noise distributions conditioned on the NACKs and ACKs of all previous transmissions in HARQ system with statistical approaches. Our main result is that, unless the coherence interval (time or frequency) is large as in block-fading assumption, the posterior distribution of the channel and noise either remains almost identical to the prior distribution, or it mostly follows the same class of distribution as the prior one. In the latter case, the difference between the posterior and prior distribution can be modeled as some parameter mismatch, which has little impact on certain type of applications.

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          Author and article information

          Journal
          2016-01-16
          Article
          1601.04131
          da34632f-fc53-4d1c-8899-d25c32adfe2d

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          15 pages, 2 figures, 4 tables
          cs.IT math.IT

          Numerical methods,Information systems & theory
          Numerical methods, Information systems & theory

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