Communication Systems - Engineering

Q1:

A source generates three symbols with probabilities 0.25, 0.25, 0.50 at a rate of 3000 symbols per second. Assuming independent generation of symbols, the most efficient source encoder would have average bit rate is as

A 6000 bits/sec

B 4500 bits/sec

C 3000 bits/sec

D 1500 bits/sec

ANS:B - 4500 bits/sec

Use Shannon Fano coding. (0.25) is encoded as 01 Number of bits/sec = 0.25 x 3000 x 2 + 0.25 x 3000 x 2 + 0.5 x 3000 45000 bits/sec.