1. Discrete Memoryless Channels and Conditional Entropy

Page 1. 1. Discrete Memoryless Channels and Conditional Entropy. In order to study in detail the problem of channel encoding, we must start by defining ...

Discrete Memoryless Channel - an overview | ScienceDirect Topics

In a discrete memoryless channel (DMC), the current output symbol depends only on the current input symbol and not on any of the previous input symbols. 9.5.1 ...

Unit of information Discrete memory less source-Conditional ...

I(X, Y) =H(X), i.e. the mutual information equals the source entropy. 2) If the channel matrix has only one nonzero entry in each row (which necessarily should ...

Channel coding and Classification 3.1 Discrete memoryless channels

is called the conditional entropy of X given Y . Similarly,. IpX; Y q “ HpY q ´ HpY |Xq. Interpretation: Mutual information is a measure of the information ...

Chapter 7 Discrete Memoryless Channels - Section 7.3 A ... - YouTube

Comments ; Chapter 7 Discrete Memoryless Channels - Section 7.3 B Why C is related to I(X;Y)?. Information Theory by Prof. Raymond W. Yeung, CUHK ...

Discrete Memoryless Channel

1-p. 1-p p p. 0. 0. = x. 1. 1. = x. 1. 1. = y. 0. 0. = y. Page 5. 5. Mutual Information. ○ Conditional Entropy. ○ The mean value. -> H(X|Y) : a conditional ...

DISCRETE MEMORYLESS CHANNELS

Discrete memory less channel, the counterpart of a discrete memoryless source is a statistical model with an input X and an output Y that is a noisy version ...

ECE 587 / STA 563: Lecture 6 – Channel Coding - Galen Reeves

6.2 Examples of Discrete Memoryless Channels. 6.2.1 Binary Erasure Channel (BEC). • Encoder can send binary inputs X = {0,1}. Channel output ...

Discrete Memoryless Channel - YouTube

Mutual Information and Channel Capacity. Ali Muqaibel · 867 views ; Introduction to Information Theory: Discrete Information Source and Entropy.

Lecture 10: Channel Coding Theorem: Converse Part 1 Recap

(4) directly follows from the definition of conditional entropy. ... “An efficient feedback coding scheme with low error probability for discrete memoryless.

Conditional Entropy of Lossy Channel Output - Math Stack Exchange

Let N∈N, N>0, and X be a random variable in {0,1}N (possibly further implicit assumptions are needed?). This random variable is transmitted ...

Tutorial 3 1 Examples of Channel Capacity

Time-varying channels. Consider a time-varying discrete memoryless channel. ... conditional entropy H(Y |X = 2) is the maximum possible, i.e., log 3 , so ...

Solved Question 2 a) Consider a discrete memoryless channel

Question: Question 2 a) Consider a discrete memoryless channel represented by the channel diagram below: 0.5 > yo Xo 1 0.5 0.5 Xua 0.5 y2 [3 ...

Memoryless Source - an overview | ScienceDirect Topics

The entropy of a discrete memoryless source, which is the average value of self-information, can be interpreted as the amount of uncertainty associated with ...

Entropy and Information Theory - Stanford Electrical Engineering

Page 1. Entropy and. Information Theory. First ... Examples are entropy, mutual information, conditional entropy, conditional information, and relative ...

Quantization of Binary-Input Discrete Memoryless Channels - arXiv

Since conditional entropy is a member of this class of impurity functions, we can use this result to prove the Theorem. Note that ...

What discrete memoryless channels have zero capacity?

p(W)W=1n1? Alternatively (not, I think, equivalently), what channels W have zero capacity? Of course I know that the completely noisy channel Wj ...

Classical Information Theory | Von Neumann Entropy

Conditional entropy: "Uncertainty in X given we know the outcome of y'. H ... Discrete memoryless channel capacity (Shannon noisy channel coding thm). A ...

Coding for Discrete Sources - MIT OpenCourseWare

2.4.1 Discrete memoryless sources. A discrete memoryless source (DMS) is ... (b) What is the conditional entropy H[X | Y =1]?. (c) Show that H[X | Y =0] ...

Lecture #6 - Purdue Engineering

Motivating Example: Discrete Memoryless Channel. (DMC). A DMC accepts one of r ... want to think of this as conditional entropy "H(XIY)", but what is "H ...