Assignment 1 Question 1: Consider the graphical representation of a channel given below. 4/5 a0 b0 1/8 P(a0)=4/7 P(a1)=3/7 1/5 7/8 a1 b1 For this channel, determine following values: a. Entropy a priori of input side of the channel (i.e. H(A) b. Entropy a posteriori of the channel (i.e. H(A/b0), H(A/b1) and H(A/B)) c. Mutual information of channel (i.e. I(A;B)) d. Entropy a priori of output side of the channel (i.e. H(B)) e. Joint entropy of the channel (i.e. H(A,B))

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Assignment 1
Question 1: Consider the graphical representation of a channel given below.
4/5
a0
b0
1/8
P(a0)=4/7
P(a1)=3/7
1/5
7/8
а1
b1
For this channel, determine following values:
a. Entropy a priori of input side of the channel (i.e. H(A)
b. Entropy a posteriori of the channel (i.e. H(A/bo), H(A/b1) and H(A/B))
c. Mutual information of channel (i.e. I(A;B))
d. Entropy a priori of output side of the channel (i.e. H(B))
e. Joint entropy of the channel (i.e. H(A,B))
Transcribed Image Text:Assignment 1 Question 1: Consider the graphical representation of a channel given below. 4/5 a0 b0 1/8 P(a0)=4/7 P(a1)=3/7 1/5 7/8 а1 b1 For this channel, determine following values: a. Entropy a priori of input side of the channel (i.e. H(A) b. Entropy a posteriori of the channel (i.e. H(A/bo), H(A/b1) and H(A/B)) c. Mutual information of channel (i.e. I(A;B)) d. Entropy a priori of output side of the channel (i.e. H(B)) e. Joint entropy of the channel (i.e. H(A,B))
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