Hobby Electronics Basics Es/No problem?

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Subject Author Date
Es/No problem? Davy 03-12-06
Posted by Davy on March 12, 2006, 11:03 am
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Hi all,

In Error correcting code, code_bits=.

I am confused with Es/No definition:
Es/No = Eb/No*data_bits_per_frame/symbols_per_frame;

Why not:
Es/No = Eb/No*code_bits_per_frame/symbols_per_frame;

Best regards,
Davy


Posted by Oli Filth on March 12, 2006, 11:41 am
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Davy said the following on 12/03/2006 16:03:
> Hi all,
>
> In Error correcting code, code_bits=.
>
> I am confused with Es/No definition:
> Es/No = Eb/No*data_bits_per_frame/symbols_per_frame;
>
> Why not:
> Es/No = Eb/No*code_bits_per_frame/symbols_per_frame;
>

Because Eb/No is (usually) defined in terms of the energy per *data* bit.

So for an (n,k) code:

        Ebc = Ebi * (k / n)

where Ebi is the energy per data bit, and Ebc is the energy per code bit.
And for an M-ary symbol constellation:

        Es = Ebc * log2(M)

Therefore:

        Es = Ebi * (k / n) * log2(M)

But (k / n) * log2(M) is the number of data bits per symbol. Therefore:

        Es/No = Ebi/No * data bits per symbol

--
Oli

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