Posted by: atri | September 14, 2007

Lecture 8: Shannon’s noise model

Today we looked at the way Shannon modeled the noise stochastically (that is also memory-less) and looked at the notions of capacity and error correction (in stochastic models). We defined the specific channels: BEC_{p},qSC_{p},BEC_{\alpha} and BIAWGN_{\sigma}. Finally we stated Shannon’s capacity theorem for BSC_p.

In the next lecture we will prove the expressions that relate the entropy function to the volume of a Hamming ball and then move on to the proof of Shannon’s capacity theorem (for BSC_p).

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