5. 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 R₂ denote the event "digit i is received." Assume that a 3 i 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 a 1 wa sent? Derive an expression for the probability of a transmission error. P(R171) =1-α R1 T1% a/2 α/2 B/2 1-ẞ R2 T29 ẞ/2 Y/2 Y/2 T3 1-y R3 Figure 1.P.6. A trinary communication channel: channel diagram

5. 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 R₂ denote the event "digit i is received." Assume that a 3 i 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 a 1 wa sent? Derive an expression for the probability of a transmission error. P(R171) =1-α R1 T1% a/2 α/2 B/2 1-ẞ R2 T29 ẞ/2 Y/2 Y/2 T3 1-y R3 Figure 1.P.6. A trinary communication channel: channel diagram

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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