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Errors
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posted:
11/15/2011
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Chapter 6:

Errors, Error Detection, and Error

Control

Objectives





After reading this chapter, you should be able to:

•Identify the different types of noise commonly

found in computer networks

•Specify the different error-prevention techniques,

and be able to apply an error-prevention technique to

a type of noise

•Compare the different error-detection techniques in

terms of efficiency and efficacy



2

Objectives (continued)





•Perform simple parity and longitudinal parity

calculations, and enumerate their strengths and

weaknesses

•Cite the advantages of cyclic redundancy checksum,

and specify what types of errors cyclic redundancy

checksum will detect

•Differentiate between the three basic forms of error

control, and describe the circumstances under which

each may be used

3

Objectives (continued)







•Follow an example of Stop-and-wait ARQ, Go-

back-N ARQ, and Selective-reject ARQ









4

Introduction





•Noise is always present

•If a communications line experiences too much noise

•Signal will be lost or corrupted

•Communication systems should check for

transmission errors

•Once an error is detected, a system may perform

some action

•Some systems perform no error control, but simply

let the data in error be discarded

5

Noise and Errors – White Noise







•Also known as thermal or Gaussian noise



•Relatively constant



•Can be reduced



•If white noise gets to strong

•Can completely disrupt signal





6

White Noise (continued)









7

Impulse Noise







•One of the most disruptive forms of noise

•Random spikes of power

•Can destroy one or more bits of information



•Difficult to remove from an analog signal

•May be hard to distinguish from original signal



•Impulse noise can damage more bits if the bits are

closer together (transmitted at a faster rate)



8

Impulse Noise (continued)









9

Impulse Noise (continued)









10

Crosstalk







•Unwanted coupling between two different signal

paths

•For example, hearing another conversation while talking

on the telephone



•Relatively constant



•Can be reduced with proper measures





11

Crosstalk (continued)









12

Echo





•The reflective feedback of a transmitted signal as

the signal moves through a medium

•Most often occurs on coaxial cable

•If echo bad enough, it could interfere with original

signal

•Relatively constant

•Can be significantly reduced



13

Echo (continued)









14

Jitter





•The result of small timing irregularities during

transmission of digital signals



•Occurs when a digital signal is repeated over and

over



•If serious enough, jitter forces systems to slow

down their transmission



•Steps can be taken to reduce jitter



15

Jitter (continued)









16

Delay Distortion and Attenuation







•Delay Distortion - occurs because the velocity of

propagation of a signal through a medium varies with the

frequency of the signal



•Can be reduced



•Attenuation - the continuous loss of a signal’s strength as

it travels through a medium









17

Error Prevention





•To prevent errors from happening, several

techniques may be applied:

•Proper shielding of cables to reduce interference

•Telephone line conditioning or equalization

•Replacing older media and equipment with new, possibly

digital components

•Proper use of digital repeaters and analog amplifiers

•Observe the stated capacities of the media



18

Error Prevention (continued)









19

Error Detection







•Despite best prevention techniques, errors may still

occur

•To detect an error, error detection code has to be

added to the data/signal

•Let’s examine two basic techniques for detecting

errors:

•Parity checking

•Cyclic redundancy checksum

20

Parity Checks







•Simple parity - If performing even parity, add a parity bit

such that an even number of 1s is maintained



•If performing odd parity, add a parity bit such that an odd

number of 1s is maintained



•For example, send 1001010 using even parity



•For example, send 1001011 using even parity





21

Parity Checks (continued)







•What happens if the character 10010101 is sent and

the first two 0s accidentally become two 1s?



•Thus, the following character is received: 11110101



•Will there be a parity error?



•Problem: Simple parity only detects odd numbers of bits in

error





22

Longitudinal Parity







•Longitudinal parity

•Adds parity bit to each character

•Then adds row of parity bits after a block of characters



•Row of parity bits is actually a parity bit for each

“column” of characters

•Row parity bits plus column parity bits add a great

amount of redundancy to a block of characters



23

Longitudinal Parity (continued)









24

Longitudinal Parity (continued)









25

Parity Checks (continued)





•Both simple parity and longitudinal parity do not

catch all errors

•Simple parity only catches odd numbers of bit

errors

•Longitudinal parity is better at catching errors

•But requires too many check bits added to a block of data



•We need a better error detection method

•What about cyclic redundancy checksum?

26

Cyclic Redundancy Checksum (CRC)







•CRC error detection method treats packet of data to

be transmitted as a large polynomial



•Transmitter

•Using polynomial arithmetic, divides polynomial by a

given generating polynomial



•Quotient is discarded

•Remainder is “attached” to the end of message



27

Cyclic Redundancy Checksum

(continued)



•Message (with the remainder) is transmitted to the

receiver

•Receiver divides the message and remainder by

same generating polynomial

•If a remainder not equal to zero results  error

during transmission

•If a remainder of zero results  error during

transmission

28

Cyclic Redundancy Checksum

(continued)









29

Error Control







• Once an error is detected, what is the receiver

going to do?

1. Do nothing

2. Return an error message to the transmitter

3. Fix the error with no further help from the

transmitter





30

Error Control (continued)





• Do nothing

• Seems like a strange way to control errors

• Some newer systems such as frame relay perform this

type of error control



• Return a message has three basic formats:

1. Stop-and-wait ARQ

2. Go-back-N ARQ

3. Selective-reject ARQ



31

Stop-and-wait ARQ







•Simplest error control protocol

•A transmitter sends a frame then stops and waits for

an acknowledgment

•If a positive acknowledgment (ACK) is received,

the next frame is sent

•If a negative acknowledgment (NAK) is received,

the same frame is transmitted again



32

Stop-and-wait ARQ (continued)









33

Go-back-N ARQ





•Go-back-N ARQ and selective reject are more

efficient protocols

•They assume that multiple frames are in transmission at

one time (sliding window)

•A sliding window protocol allows transmitter to

send up to the window size frames before receiving

any acknowledgments

•When a receiver does acknowledge receipt, the

returned pack contains the number of the frame

expected next

34

Sliding Window Protocol









35

Go-back-N ARQ (continued)







•Using the go-back-N ARQ protocol, if a

frame arrives in error, the receiver can ask the

transmitter to go back to the Nth frame and

retransmit it

•After the Nth frame is retransmitted, the

sender resends all subsequent frames





36

Selective-reject ARQ







•Most efficient error control protocol



•If a frame is received in error, the receiver asks

transmitter to resend ONLY the frame that was in

error



•Subsequent frames following the Nth frame are not

retransmitted





37

Selective-reject ARQ (continued)









38

Selective-reject ARQ (continued)









39

Selective-reject ARQ (continued)









40

Selective-reject ARQ (continued)









41

Correct the Error







•For a receiver to correct the error with no further

help from the transmitter requires a large amount of

redundant information accompanying original data

•This redundant information allows the receiver to

determine the error and make corrections

•This type of error control is often called forward

error correction





42

Error Detection in Action





•Asynchronous transfer mode (ATM) incorporates

many types of error detection and error control

•ATM inserts a CRC into the data frame (the cell),

which checks only the header and not the data

•This CRC is also powerful enough to perform

simple error correction on the header

•A second layer of ATM applies a CRC to the data,

with varying degrees of error control



43

Summary





•Noise in computer networks

•Error-prevention techniques

•Simple parity and longitudinal parity calculations

•Cyclic redundancy checksum

•Three forms of error control

•Stop-and-wait ARQ, Go-back-N ARQ and

Selective-reject ARQ

44


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