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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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