2. Show that SML arg min P(rs) = arg min P(sr) = SMAP SEE(S) SEE(S) for Ps(s) = E(S)-¹. 3. Show that the Maximum Likelihood (ML) decision for the BSC channel is equivalent to minimising the HAMMING distance. 4. Show that the ML decision for the transmission G: 8 (81,..., Sn) → ($1+ €₁,..., Sn + en) with E, independent Gauss random variables with po = 0 and oo is equivalent is equivalent to minimising the EUCLIDian distance n SML = arg min (ri-s - Si) ². SEE(C) i=1

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. Show that
SML = arg min P(r|s) = arg min P(s|r) = SMAP
SEE(S)
SEE(S)
for Ps(s) = E(S)|-¹.
3. Show that the Maximum Likelihood (ML) decision for the BSC channel is equivalent to minimising
the HAMMING distance.
4. Show that the ML decision for the transmission
G: s= ($1,..., Sn) → ($1 + €₁, ..., Sn + en)
with E, independent Gauss random variables with po
minimising the EUCLIDian distance
n
= 0 and go is equivalent is equivalent to
SML = arg min (ri- 8i)².
SEE(C)
i=1
Transcribed Image Text:2. Show that SML = arg min P(r|s) = arg min P(s|r) = SMAP SEE(S) SEE(S) for Ps(s) = E(S)|-¹. 3. Show that the Maximum Likelihood (ML) decision for the BSC channel is equivalent to minimising the HAMMING distance. 4. Show that the ML decision for the transmission G: s= ($1,..., Sn) → ($1 + €₁, ..., Sn + en) with E, independent Gauss random variables with po minimising the EUCLIDian distance n = 0 and go is equivalent is equivalent to SML = arg min (ri- 8i)². SEE(C) i=1
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