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VSAT Networks - computeristoy

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158 NETWORKING ASPECTS<br />

where TS−ALOHA is the average delay (s) for S-ALOHA, Tp the<br />

satellite link propagation delay (about 0.25 s), τ the packet duration<br />

(s): τ = L/RTDMA, where RTDMA is the carrier transmission rate (bs −1 ),<br />

G the offered traffic load (packet per time slot) and k the maximum<br />

retransmission interval (time slots).<br />

Figure 4.34 displays packet delay curves for a constant length<br />

packet traffic, with packet length L = 1000 bits, and packet generation<br />

rate λ = 0.1 s −1 as a function of the number of <strong>VSAT</strong>s in<br />

the network. Three multiple access protocols are compared: FDMA<br />

with delay given by (4.27), TDMA with delay given by (4.29) and<br />

S-ALOHA with delay given by (4.30). For FDMA, it is assumed<br />

that a <strong>VSAT</strong> transmits one carrier only (K = 1). For S-ALOHA,<br />

three values of the maximum retransmission interval have been<br />

selected: k = 10, 50 and 100 slots. The network capacity is constant<br />

and equal to R = 100 kbs −1 .Thus,RFDMA = 100 kbs −1 /KN =<br />

100 kbs −1 /N, and RTDMA = R = 100 kbs −1 . The TDMA frame duration<br />

TF varies with the number of <strong>VSAT</strong>s: TF = (number of <strong>VSAT</strong>s) ×<br />

L/RTDMA = number of <strong>VSAT</strong>s × 10 −3 seconds.<br />

Clearly, S-ALOHA delivers a shorter delay than FDMA and<br />

TDMA. This demonstrates its greater ability to convey bursty traffic.<br />

Packet delay (s)<br />

10<br />

1<br />

0.1<br />

WWW.DANVIENTHONG.COM<br />

l = 0.1 s −1<br />

Network capacity<br />

100 kbs −1<br />

FDMA<br />

TDMA<br />

S-ALOHA<br />

k = 100<br />

k = 50<br />

k = 10<br />

0 50 100 150 200 250 300 350 400<br />

Number of <strong>VSAT</strong>s<br />

Figure 4.34 Packet delay for a constant length packet traffic, with packet<br />

length L = 1000 bits, and packet generation rate λ = 0.1 s −1 per <strong>VSAT</strong> as<br />

a function of the number of <strong>VSAT</strong>s in the network. The network capacity<br />

is R = 100 kbs −1 With S-ALOHA, k represents the maximum retransmission<br />

interval in time slots

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