<< Chapter < Page Chapter >> Page >
The analysis and transfer characteristics of wireline channels.

Wireline channels were the first used for electrical communications in the mid-nineteenth century for the telegraph.Here, the channel is one of several wires connecting transmitter to receiver. The transmitter simply creates a voltage relatedto the message signal and applies it to the wire(s). We must have a circuit—a closed path—that supports current flow. In thecase of single-wire communications, the earth is used as the current's return path. In fact, the term ground for the reference node in circuits originated in single-wire telegraphs. You can imagine that the earth's electricalcharacteristics are highly variable, and they are. Single-wire metallic channels cannot support high-quality signaltransmission having a bandwidth beyond a few hundred Hertz over any appreciable distance.

Coaxial cable cross-section

Coaxial cable consists of one conductor wrapped around the central conductor. This type of cable supports broaderbandwidth signals than twisted pair, and finds use in cable television and Ethernet.

Consequently, most wireline channels today essentially consist of pairs of conducting wires ( [link] ), and the transmitter applies a message-related voltage across the pair. How these pairs of wires arephysically configured greatly affects their transmission characteristics. One example is twisted pair , wherein the wires are wrapped about each other. Telephonecables are one example of a twisted pair channel. Another is coaxial cable , where a concentric conductor surrounds a central wire with a dielectric material in between.Coaxial cable, fondly called "co-ax" by engineers, is what Ethernet uses as its channel. In either case, wireline channelsform a dedicated circuit between transmitter and receiver. As we shall find subsequently, several transmissions can share thecircuit by amplitude modulation techniques; commercial cable TV is an example. These information-carrying circuits are designedso that interference from nearby electromagnetic sources is minimized. Thus, by the time signals arrive at the receiver,they are relatively interference- and noise-free.

Both twisted pair and co-ax are examples of transmission lines , which all have the circuit model shown in [link] for an infinitesimally small length. This circuit model arisesfrom solving Maxwell's equations for the particular transmission line geometry.

Circuit model for a transmission line

The so-called distributed parameter model for two-wire cables has the depicted circuit model structure. Element valuesdepend on geometry and the properties of materials used to construct the transmission line.
The series resistance comes from the conductor used in the wires and from the conductor's geometry.The inductance and the capacitance derive from transmission line geometry, and the parallel conductance from the medium betweenthe wire pair. Note that all the circuit elements have values expressed by the product of a constant times a length; thisnotation represents that element values here have per-unit-length units. For example, the series resistance R has units of ohms/meter. For coaxial cable, the element values depend on the inner conductor's radius r i , the outer radius of the dielectric r d , the conductivity of the conductors σ , and the conductivity σ d , dielectric constant ε d , and magnetic permittivity μ d of the dielectric as
R 1 2 δ σ 1 r d 1 r i
C 2 ε d r d r i G 2 σ d r d r i L μ d 2 r d r i For twisted pair, having a separation d between the conductors that have conductivity σ and common radius r and that are immersed in a medium having dielectric and magnetic properties, the elementvalues are then
R 1 r δ σ
C ε d 2 r G σ d 2 r L μ δ 2 r d 2 r

Questions & Answers

how do you get the 2/50
Abba Reply
number of sport play by 50 student construct discrete data
Aminu Reply
width of the frangebany leaves on how to write a introduction
Theresa Reply
Solve the mean of variance
Veronica Reply
Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ... Step 2: Find each score's deviation from the mean. ... Step 3: Square each deviation from the mean. ... Step 4: Find the sum of squares. ... Step 5: Divide the sum of squares by n – 1 or N.
kenneth
what is error
Yakuba Reply
Is mistake done to something
Vutshila
Hy
anas
hy
What is the life teble
anas
hy
Jibrin
statistics is the analyzing of data
Tajudeen Reply
what is statics?
Zelalem Reply
how do you calculate mean
Gloria Reply
diveving the sum if all values
Shaynaynay
let A1,A2 and A3 events be independent,show that (A1)^c, (A2)^c and (A3)^c are independent?
Fisaye Reply
what is statistics
Akhisani Reply
data collected all over the world
Shaynaynay
construct a less than and more than table
Imad Reply
The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
Aschalew Reply
Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400 a. what is the probability of getting more than 12,000 hits? b. what is the probability of getting fewer than 9,000 hits?
Akshay Reply
Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400. a. What is the probability of getting more than 12,000 hits
Akshay
1
Bright
Sorry i want to learn more about this question
Bright
Someone help
Bright
a= 0.20233 b=0.3384
Sufiyan
a
Shaynaynay
How do I interpret level of significance?
Mohd Reply
It depends on your business problem or in Machine Learning you could use ROC- AUC cruve to decide the threshold value
Shivam
how skewness and kurtosis are used in statistics
Owen Reply
yes what is it
Taneeya
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Fundamentals of electrical engineering i. OpenStax CNX. Aug 06, 2008 Download for free at http://legacy.cnx.org/content/col10040/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Fundamentals of electrical engineering i' conversation and receive update notifications?

Ask