The token bucket scheme places a limit on the length of time at which traffic can depart at the maximum data rate. Let the token bucket be defined by a bucket size B octets and a token arrival rate of R octets/second, and let the maximum output data rate be M octets/s. a) Derive a formula for S, which is the length of the maximum-rate burst. That is, for how long can a flow transmit at the maximum output rate when governed by a token bucket? b) What is the value of S for b = 250 KB, r = 2 MB/s, and M = 25  MB/s? Hint: The formula for S is not so simple as it might appear, because more tokens arrive while the burst is being output

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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The token bucket scheme places a limit on the length of time at which traffic can depart at the maximum data rate. Let the token bucket be defined by a bucket size B octets and a token arrival rate of R octets/second, and let the maximum output data rate be M octets/s.

a) Derive a formula for S, which is the length of the maximum-rate burst. That is, for how long can a flow transmit at the maximum output rate when governed by a token bucket?

b) What is the value of S for b = 250 KB, r = 2 MB/s, and M = 25  MB/s? Hint: The formula for S is not so simple as it might appear, because more tokens arrive while the burst is being output

(c) Given a channel with an intended capacity of 20 Mbps, the bandwidth of the channel is 3MHz. What signal- to-noise ratio is required to achieve this capacity?

d) Show that doubling the transmission frequency or doubling the distance between transmitting antenna and receiving antenna attenuates the power received by 6dB.

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