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Ethernet

Module by: Don Johnson

Summary: (Blank Abstract)

Figure 1: The Ethernet architecture consists of a single coaxial cable terminated at either end by a resistor having a value equal to the cable's characteristic impedance. Computers attach to the Ethernet through an interface known as a transceiver because it sends as well as receives bit streams represented as analog voltages.
'ethernet'
'ethernet' (sys24.png)

Ethernet uses as its communication medium a single length of coaxial cable (Figure 1). This cable serves as the "ether", through which all digital data travel. Electrically, computers interface to the coaxial cable (Figure 1) through a device known as a transceiver. This device is capable of monitoring the voltage appearing between the core conductor and the shield as well as applying a voltage to it. Conceptually it consists of two op-amps, one applying a voltage corresponding to a bit stream (transmitting data) and another serving as an amplifier of Ethernet voltage signals (receiving data). The signal set for Ethernet resembles that shown in BPSK Signal Sets, with one signal the negative of the other. Computers are attached in parallel, resulting in the circuit model for Ethernet shown in Figure 2.

Exercise 1

From the viewpoint of a transceiver's sending op-amp, what is the load it sees and what is the transfer function between this output voltage and some other transceiver's receiving circuit? Why should the output resistor R out R out be large?

Solution 1

The transmitting op-amp sees a load or R out + Z 0 ∥ R out N ∥ R out Z 0 R out N , where NN is the number of transceivers other than this one attached to the coaxial cable. The transfer function to some other transceiver's receiver circuit is R out R out divided by this load.

Figure 2: The top circuit expresses a simplified circuit model for a transceiver. The output resistance R out R out must be much larger than Z 0 Z 0 so that the sum of the various transmitter voltages add to create the Ethernet conductor-to-shield voltage that serves as the received signal rt r t for all transceivers. In this case, the equivalent circuit shown in the bottom circuit applies.
'transceiver'
'transceiver' (opamp14.png)

No one computer has more authority than any other to control when and how messages are sent. Without scheduling authority, you might well wonder how one computer sends to another without the (large) interference that the other computers would produce if they transmitted at the same time. The innovation of Ethernet is that computers schedule themselves by a random-access method. This method relies on the fact that all packets transmitted over the coaxial cable can be received by all transceivers, regardless of which computer might actually be the intended recipient. In communications terminology, Ethernet directly supports broadcast. Each computer goes through the following steps to send a packet.

  1. The computer senses the voltage across the cable to determine if some other computer is transmitting.
  2. If another computer is transmitting, wait until the transmissions finish and go back to the first step. If the cable has no transmissions, begin transmitting the packet.
  3. If the receiver portion of the transceiver determines that no other computer is also sending a packet, continue transmitting the packet until completion.
  4. On the other hand, if the receiver senses interference from another computer's transmissions, immediately cease transmission, waiting a random amount of time to attempt the transmission again (go to step 1) until only one computer transmits and the others defer. The condition wherein two (or more) computers' transmissions interfere with others is known as a collision.
The reason two computers waiting to transmit may not sense the other's transmission immediately arises because of the finite propagation speed of voltage signals through the coaxial cable. The longest time any computer must wait to determine if its transmissions do not encounter interference is 2Lc 2 L c , where LL is the coaxial cable's length. The maximum-length-specification for Ethernet is 1 km. Assuming a propagation speed of 2/3 the speed of light, this time interval is 10 μs. As analyzed in this problem, the number of these time intervals required, on the average, to resolve the collision is less than two!

Exercise 2

Why does the factor of two enter into this equation? (Consider the worst-case situation of two transmitting computers located at the Ethernet's ends.)

Solution 2

The worst-case situation occurs when one computer begins to transmit just before the other's packet arrives. Transmitters must sense a collision before packet transmission ends. The time taken for one computer's packet to travel the Ethernet's length and for the other computer's transmission to arrive equals the round-trip, not one-way, propagation time.

Thus, despite not having separate communication paths among the computers to coordinate their transmissions, the Ethernet random access protocol allows computers to communicate without only a slight degradation in efficiency, as measured by the time taken to resolve collisions relative to the time the Ethernet is used to transmit information.

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