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Wireless Network Design: Optimization Models and Solution ...

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30 Dinesh Rajan<br />

nel can support a peak data rate of R, then with r<strong>and</strong>om multiple access using the<br />

Aloha protocol, the maximum effective data rate is only 1 2eR, or approximately 18%<br />

of data rate. However, for lightly loaded systems Aloha is a simple strategy that<br />

offers reasonable performance. An excellent historical perspective of Aloha written<br />

by the original inventor including recent application areas is given in [2].<br />

Several variations of Aloha including slotted-Aloha have also been proposed<br />

which improve the performance of the basic scheme [7]. In a slotted Aloha system,<br />

the entire time is discretized into time-slots of fixed duration <strong>and</strong> nodes are<br />

allowed to transmit packets only at the beginning of a time-slot. Further, each node<br />

that has a packet to transmit will only transmit it with a finite probability q at the<br />

beginning of the next time-slot. These changes to Aloha protocol, reduces the number<br />

of collisions <strong>and</strong> increases the overall throughput. The maximum data rate of a<br />

slotted Aloha system can be shown to equal 1 e R.<br />

Many recent multiple access (MA) strategies are based on the idea of carrier<br />

sense multiple access (CSMA) [7, 25]. Several modifications of CSMA have been<br />

proposed in the literature. In a CSMA scheme, each node listens to the medium<br />

to see if the medium is free or if there exists any other signal in the medium. If<br />

the wireless medium is believed to be free then the node transmits its data after<br />

waiting for a r<strong>and</strong>om amount of time. If the medium is sensed as being busy, then<br />

Fig. 2.12 Performance of hard decision <strong>and</strong> soft decision decoding of convolutional codes over an<br />

AWGN channel. The rate of the codes are 1 2 , 1 3 , <strong>and</strong> 1 4 .

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