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Wireless Networks

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Performance Analysis of Computer Networks

Abstract

Wireless communications is one of the fastest growing fields in engineering. The last century has witnessed the introduction of many kinds of wireless networks, some of which have become the cornerstone of modern life. Such networks have provided support for nomadic and increasingly mobile users.

What you do speaks so loudly that I cannot hear what you say.

Ralph Waldo Emerson

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Problems

Problems

  1. 9.1

    Show that the maximum value of the throughput is 0.184 for pure ALOHA and 0.368 for slotted ALOHA.

  2. 9.2

    A computer network uses a pure ALOHA access method. Let the channel bit rate be 100 kbps and packet length be 20 bytes. If each node generates 20 packets/min on the average, how many stations can the network support?

  3. 9.3

    A random access network uses the ALOHA access scheme. It consists of two stations which are 800 m apart. Assume each station generates frames at an average rate of 600 packets/s and that the data rate is 2 Mbps. Let the packet length be 12 bytes and the propagation velocity be 2 × 108 m/s. (a) Calculate the probability of collision for pure ALOHA protocol. (b) Repeat for slotted ALOHA.

  4. 9.4

    Compare and contrast CSMA/CD and CSMA/CA.

  5. 9.5

    Compare and contrast RF LAN and IR LAN.

  6. 9.6

    Consider a system with ten stations and deterministic values of walking times with \( \overline{R}=0.4\mu \mathrm{s} \). Assume message lengths are exponentially distributed with mean message length of 1,000 bits and gated service. Plot the mean message delay as a function of the total traffic load \( \rho =\lambda \overline{t}=0.1,0.2,\dots 0.8 \). Take the bit rate to be 1 Mbps.

  7. 9.7

    Repeat the previous problem for exhaustive service.

  8. 9.8

    Describe the requirements for the PHY, MAC, and DLC layers of a wireless ATM network.

  9. 9.9

    Describe FDMA and CDMA.

  10. 9.10

    An FDMA system has the following parameters:

    • λ/station = 100 bps

    • R = 106 bps

    • N = 50

    • L = 1,000 bits

    Plot the mean delay versus offered load ρ.

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Sadiku, M.N.O., Musa, S.M. (2013). Wireless Networks. In: Performance Analysis of Computer Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-01646-7_9

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  • DOI: https://doi.org/10.1007/978-3-319-01646-7_9

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  • Online ISBN: 978-3-319-01646-7

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