Weakly symmetric channel capacity

If every row of an

m

-output channel matrix is a permutation of every other row and all column sums agree, the uniform input achieves a uniform output and

C = lo g_{2} m - H (one row) .

Table of contents
- Binary symmetric channel capacity Weakly symmetric channel capacity
- Ternary symmetric channel capacity Weakly symmetric channel capacity

Binary symmetric channel capacity

A binary symmetric channel with crossover probability

p

has capacity

C = 1 - h_{2} (p)

bits per channel use.

Ternary symmetric channel capacity

For diagonal transition probability

1 - 2 α

and each off-diagonal probability

α

,

C = lo g_{2} 3 + (1 - 2 α) lo g_{2} (1 - 2 α) + 2 α lo g_{2} α,

with

0 lo g 0 = 0

.

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