Decoding methods: Difference between revisions

Revision as of 04:30, 19 November 2007

Revision as of 04:40, 19 November 2007

Line 28:

:<math>

\begin{align}

\mathbb{P}(x \mbox{ received} \mid y \mbox{ sent}) & {} = \frac{ \mathbb{P}(x \mbox{ received} , y \mbox{ sent}) }{\mathbb{P}(y \mbox{ sent} )} \\ \\

& {} = \frac{ \mathbb{P}(x \mbox{ received} , y \mbox{ sent}) }{\mathbb{P}(ymid x \mbox{ sentreceived})} \cdot \frac{\mathbb{P}(yx \mbox{ sentreceived})}{\mathbb{P}(xy \mbox{ sent})} \\ \\

& {} = \frac{ \mathbb{P}(x \mbox{ received} , y \mbox{ sent}) }{\mathbb{P}(ymid x \mbox{ sentreceived})} \\ \\.

& {} = \mathbb{P}(y \mbox{ received} \mid x \mbox{ sent}).

\end{align}

</math>