Electronics and Communication Engineering - Communication Systems - Discussion

Discussion Forum : Communication Systems - Section 1 (Q.No. 48)
48.
When the channel is noisy, producing a conditional probability of error p = 0.5; the channel capacity and entropy function would be, respectively,
1 and 1
1 and 0.5
0.5 and 1
0 and 1
Answer: Option
Explanation:

.

Discussion:
8 comments Page 1 of 1.

Abhi said:   2 years ago
The signal-to-noise ration is 0.

SNR = Signal power/noise power.
As the channel is noisy the signal power 0.
SNR directly property to signal power.
So, very less signal power makes it considered equivalent to zero.
So SNR = 0.

Adil said:   4 years ago
@Cherub.

According to the formula, its value is 1. Please check it.
(1)

Prerana said:   6 years ago
@Cherub.

Won't we use p and 1-p and hence get entropy 1?

Venky said:   8 years ago
You are right, thanks @Cherub.

Cherub said:   9 years ago
Entropy should be 0.5.

Because entropy = P(xi)log2(1/P(xi)).
= 0.5log2(1/0.5),
= 0.5.

OujaMori said:   9 years ago
How come Log2 of 0.5 is 1 and why not -1?

Anju said:   9 years ago
Channel is considered to be noisy, then s/n = 0.

Toshi said:   1 decade ago
Why s/n is taken as 0?

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