MATLAB: Arithmetic coding, is decimal representation of codeword possible

arithmetic codingcode-efficiencyimage compressionMATLAB

I want to calculate the code efficiency and therefore need the average codeword length, which I want to calculate from the digits of the decimal representation.

Is this possible?

Edit:

Just to be a bit more precise: I got a binary column as an output after encoding with arithmetic coding and would like to know if it is possible to represent this output as decimal instead of binary.

Best Answer

The average codeword length is the number of code words divided by the number of bits of output.

The number of decimal digits is

ceil(numberof bits * log(2)/log(10))

which is approximately bits*0.30103

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MATLAB: CodewordLength for BCH encoder

Hi,

Here are few points which may be of help to you

According to the documentation of comm.BCHEncoder default value of M is 15. But in this case, the value of M (the degree of the primitive polynomial) is calculated using the following relation

M=ceil(log2(CodewordLength+1)).

In addition to the above, "BCHPrimitivePoly" property of dvb object is set to a binary vector of length 17 which results in the value of M being 16.

The documentation page for comm.BCHEncoder mentions that the codeword length must use the form (2^M-1) for full-length BCH codes. The one which we use in DVBS2 is shortened so the codeword length(43200) should be less than or equal to 65535(2^16-1)

MATLAB: Conversion of binary to decimal

Hi ablaze, Your code has bin2dec trying to convert a string containing the word 'binary'. Try

a = '1011'
bin2dec(a)

Best Answer

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MATLAB: CodewordLength for BCH encoder

MATLAB: Conversion of binary to decimal

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