T ransmission of encoded information through DMC Source messages are encoded in M codewords : where the codeword letter is a letter of input alphabet :
, In DMC, noise sequences (error patterns) :
are added to codewords, producing output sequences :
where the output sequence letter is a letter of output alphabet :
, .
DMC can be defined by MN codeword transition probabilities :
DMC can be defined by DE alphabet-letter transition probabilities , stored in the matrix :
Such description (channel model) is preferred, as .
For the given input probability assignment:
and alphabet-letter transition probabilities mutual information can be calculated.
At first, for the given data (probabilities) describing the source and the channel misinformation is calculated:
. Then, to find , output probability assignment is calculated:
Finally, mutual information:
SOURCE X ENCODER
CHANNEL
DECODER
USER
x1 xM
(…)
…
Transmission of encoded information through DMC
Source messages are encoded in M codewords: where the codeword letter is a letter of
input alphabet:
, In DMC, noise sequences (error patterns):
are added to codewords, producing
output sequences:
where the output sequence letter is a letter of
output alphabet:
, .
DMC can be defined by MN codeword transition probabilities:
DMC can be defined by DE…
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