Fano

5.9 Shannon-Fano-Elias Coding

Define the modified cdf \(\overline{F}(x)\) based on the standard cdf \(F(x)\): \[\overline{F}(x)=\sum_{a<x}p(a)+\frac{1}{2}p(x)=F(x-1)-\frac{1}{2}p(x ......
Shannon-Fano-Elias Shannon Coding Elias Fano

5.4 Bounds on the optimal code length (Shannon-Fano coding)

From section 5.3, we have \(l_i^*=-\log_D p_i\), but it may not be integer, and we should choose \(l_i\) close to \(l_i^*\). So round it up using the ......
Shannon-Fano Shannon optimal Bounds length
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