[CST-2] Info Theory
Alvin
ah296@cam.ac.uk
Sun, 02 Jun 2002 23:13:41 +0100
I think Daugman's working goes along the lines of:
C = Wlog(1 + P/NW)
C' = Wlog(1 + P/8NW)
~= W(log(1 + P/NW) + log(1/8)
= W(log(1 + P/NW) - 3)
= C - 3W
Which is a close approximation if P/NW was a lot larger than 1... What is
the norm for SNR anyway?
Alvin
> Just running through the info theory examples sheet again.
>
> Set 8, part d. I reckon C' = C/8 (approx) by the taylor expansion of lg,
> (some brief experiments with gnuplot confirm this). Have I misunderstood
> the question -- I read it as C' = W lg (1 + P/(8NW))
>
> ?
>
> Thanks