Consider a trinary communication channel [STAR 1979] whose channel diagram is shown in Figure 1.P.6. For i = 1,2, 3 let T; denote the event "digit i is trans- mitted" and let R, denote the event “digit i is received." Assume that a 3 is transmitted 3 times more frequently than a 1, and a 2 is sent twice as often as 1. If a 1 has been received, what is the expression for the probability that a1 was sent? Derive an expression for the probability of a transmission error. P(R1IT1) =1- T1 R1 a / 2 a / 2 B/2 1-B

Consider a trinary communication channel [STAR 1979] whose channel diagram is shown in Figure 1.P.6. For i = 1,2, 3 let T; denote the event "digit i is trans- mitted" and let R, denote the event “digit i is received." Assume that a 3 is transmitted 3 times more frequently than a 1, and a 2 is sent twice as often as 1. If a 1 has been received, what is the expression for the probability that a1 was sent? Derive an expression for the probability of a transmission error. P(R1IT1) =1- T1 R1 a / 2 a / 2 B/2 1-B

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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