Show that the probability of three symbol errors in a code

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Consider the coded system examined in Computer Example 11.1. Show that the probability of three symbol errors in a code word is negligible compared to the probability of two symbol errors in a code word for SNRs above a certain level.

Example 11.1:

Consider a random experiment with 16 equally likely outcomes. The information associated with each outcome is

where j ranges from 1 to 16. The information is associated with each outcome is greater than one bit, since the random experiment generates more than two equally likely outcomes, and therefore, the probability of each outcome is less than one-half.

Reference no: EM131211483

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