In pulse-amplitude modulation (PAM), a PAM word consists of a sequence of pulses, where each pulse may take on a given number of amplitude levels. Suppose a PAM word is n pulses long and each pulse may take on m different levels. (a) How many distinct PAM words are there? (b) If each PAM word, 4 pulses long, is equally likely to occur and each pulse can have one of three levels, (0, 1, 2}, what is the probability of a PAM word occurring with exactly two pulses of level 2?

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)
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2.36 In pulse-amplitude modulation (PAM), a PAM word consists of a sequence of pulses,
where each pulse may take on a given number of amplitude levels. Suppose a PAM word
is n pulses long and each pulse may take on m different levels.
(a) How many distinct PAM words are there?
(b) If each PAM word, 4 pulses long, is equally likely to occur and each pulse can have
one of three levels, {0, 1, 2), what is the probability of a PAM word occurring with
exactly two pulses of level 2?
Transcribed Image Text:2.36 In pulse-amplitude modulation (PAM), a PAM word consists of a sequence of pulses, where each pulse may take on a given number of amplitude levels. Suppose a PAM word is n pulses long and each pulse may take on m different levels. (a) How many distinct PAM words are there? (b) If each PAM word, 4 pulses long, is equally likely to occur and each pulse can have one of three levels, {0, 1, 2), what is the probability of a PAM word occurring with exactly two pulses of level 2?
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