Compute a huffman encoding of the phrase

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Reference no: EM133760037

Assignment: Calculate the Entropy of Source & Receiver & the Joint

Scenario Setup

Message (X): A binary message where '0' and '1' are equally likely. So,
p(X=0)=0.5 and p(X=1)=0.5.

Noisy Channel:

When '0' is sent, there's an 85% chance the receiver gets '0' and a 15% chance the receiver gets '1'.
When '1' is sent, there's a 95% chance the receiver gets '1' and a 5% chance the receiver gets '0'.

A. Calculate the Entropy of the Source (H(X)).
B. Calculate the Entropy of the Receiver (H(Y)):.
C. Calculate the Joint Entropy (H(X,Y)).
D. Calculate the Mutual Information (I(X;Y))

Huffman Codes

A. Calculate the entropy of the phrase "bobby the peewee beekeeper"
B. Compute a Huffman encoding of the phrase. Show the entire tree.
C. Compute the avg number of bits per symbol for this encoding and compare it to the phrase entropy.

Reference no: EM133760037

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