In t his proble1n, 've perform t he old/ new detection
Chapter 11, Problem 11.21(choose chapter or problem)
In t his proble1n, 've perform t he old/ new detection test of 11.2.7, except no'v we monitor k ping tests and observe 'vhether each ping lasts longer than to ms. T he random variable M is the number of pings t hat last longer t han to ins. The decision is Ho if M < m,o . Ot her,vise, t he decision is H 1 . (a)\tVrite a formula for t he false alarm probability as a function of to, 1no, and ' n. (b)Find the maximum likelihood decision number 1no = ffiML for to = 4.5 ms and k = 16 ping tests. (c)Find the maxim um a posteriori pro bability decision number m,o = ffiMAP for t0 = 4.5 ms and k = 16 ping tests. (d) Dra'v the receiver operating curves for t0 = 90 ms and to = 60 ms. In both cases let k = 16 ping tests.
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