What Is A Discrete Memoryless Source?

by | Last updated on January 24, 2024

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The discrete memoryless source (DMS) has

the property that its output at a certain time does not depend on its output at any earlier time

. … Memoryless sources are, trivially, always ergodic; a source with memory is ergodic only if it is modeled by an ergodic Markov chain.

What is entropy of binary memoryless source?

The maximum entropy for a binary source is

log 2 1 bit

. The compression, which results in a reduction in the symbol rate, is possible as long as H



(U) < log

b

N. The minimum average number of code symbols required to represent one source symbol is H(U).

What is meant by discrete memoryless channel?

Formally, a discrete memoryless channel is defined by an input alphabet X,

an output alphabet Y (here, X and Y are discrete but potentially could be infinite)

and a transition probability law pY |X (a conditional. probability) on Y ˆ X. When used for n channel uses, the probability law is. pY n|Xn py.

What is a discrete channel?

A communication channel whose input and output each have an alphabet of distinct letters, or, in the case of a physical channel, whose

input and output

are signals that are discrete in time and amplitude (see discrete and continuous systems).

What is discrete memory?

The discrete source with memory (DSM) has

the property that its output at a certain time may depend on its outputs at a number of earlier times

: if this number is finite, the source is said to be of finite order, otherwise it is of infinite order. …

What is a memoryless channel?

From Encyclopedia of Mathematics.

A communication channel for which the statistical properties of the output signal at a time t are determined only by the input signal transmitted at this moment t of time

(and consequently do not depend on the signal transmitted prior to or after the moment t).

What is memoryless source give an example?

The discrete memoryless source (DMS) has the property that its output at a certain time does not depend on its output at any earlier time. … Memoryless sources are, trivially,

always ergodic

; a source with memory is ergodic only if it is modeled by an ergodic Markov chain.

What is the entropy of the source?

An entropy source is

an input device or a measured characteristic of an I/O device on a computer that supplies random bits

: specifically, bits that an attacker cannot know.

What is discrete memoryless source in digital communication?


A source from which the data is being emitted at successive intervals, which is independent of previous values

, can be termed as discrete memoryless source. This source is discrete as it is not considered for a continuous time interval, but at discrete time intervals.

What is discrete communication?

discrete signals

In information theory: Four types of communication. Discrete signals

can represent only a finite number of different, recognizable states

. For example, the letters of the English alphabet are commonly thought of as discrete signals.

What is continuous channel?

A discrete-time continuous channel f(y|x) is

a system with input random variable X and output random variable Y such that Y is related to X through f(y|x)

(cf. Definition 10.22). Remark The integral in Definition 11.1 is precisely the conditional differential entropy h(Y |X = x), which is required to be finite.

What is lossless channel?

lossless coding Coding

in which no information whatsoever is lost during the

encoding (or decoding) process. Generally, encryption and decryption are lossless, as is channel coding. … The decoding of (i.e. recovery from) compression and compaction are lossless.

Is discrete or integrated graphics better?

Discrete graphics is a GPU that is a separate from the processor. … However, since a discrete graphics has its own memory source and power source, it provides

higher performance than integrated graphics

.

Why is it called a discrete GPU?

A discrete graphics card is a type of dedicated graphics card that you place on your computer’s motherboard. It’s called discrete because

it is solely dedicated to handling all your graphics from the icons you see on the screen to the videos you render

. It’s also its own hardware.

How do I know if my graphics card is discrete?


If you see more than one adapter in the list

, then your computer has a discrete GPU. On an Intel-based system, the “Intel HD Graphics” is your integrated chip, and the second adapter is the dedicated graphics processor.

What is channel capacity?

The channel capacity, C, is defined to be

the maximum rate at which information can be transmitted through a channel

. The fundamental theorem of information theory says that at any rate below channel capacity, an error control code can be designed whose probability of error is arbitrarily small.

Leah Jackson
Author
Leah Jackson
Leah is a relationship coach with over 10 years of experience working with couples and individuals to improve their relationships. She holds a degree in psychology and has trained with leading relationship experts such as John Gottman and Esther Perel. Leah is passionate about helping people build strong, healthy relationships and providing practical advice to overcome common relationship challenges.