• Example 21.3
  • Wireless Local Area Networks




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    Frequency band
    Max. transmit power with 6 dBi antenna gain
    5.150–5.250 GHz
    40 mW (2.5 mW/MHz)
    5.250–5.350 GHz
    200 mW (12.5 mW/MHz)
    5.725–5.825 GHz
    800 mW (50 mW/MHz)
    Ch21-P373580.indd 733
    5/3/07 10:58:21 PM


    734 
    21 Wireless Local Area Networks
    Solution
    f
    200 Hz
    Minimum number of chips 
    20
    Number of tones contained in spreading bandwidth (
    B
    ss

    2
    20
    1,048,576
    1,048,576 
    B
    ss
     
    200
    B
    ss
    209,715,200 
    209.715 MHz
    Chip rate 
    1.2 
    20 
    24 kchip/sec
    Processing gain (
    G
    p

    209.715 
    10
    6
    1.2 
    10
    3
    174,762.5
    Symbol rate 
    1.2 
    10
    3
    3
    400 symbols/sec
    Number of chips per symbol 
    24 
    10
    3
    400
    60
    Example 21.3
    The IEEE 802.11a WLAN uses a 64-subchannel implementation of multicarrier 
    modulation (MCM, i.e., OFDM). Forty-eight subcarriers are used for information 
    transmission, 4 subcarriers for pilot tones are used for synchronization, and 12 are 
    reserved. Each subchannel has a symbol rate of 250 kilo symbols per second (ksps). 
    The occupied bandwidth is 20 MHz. Find the bandwidth of a subchannel. What is 
    modulation effi ciency? What is a user symbol rate? If 16-QAM modulation is used, 
    what is the user data rate if the information bits are encoded with a rate of 
    3
    /
    4
    ? If the 
    guard time between two transmitted symbols is 800 ns, what is the time utilization 
    effi ciency of the system?
    Solution
    Total number of subcarriers 
    48 
    12 

    64
    Bandwidth of subchannels 
    20 
    10
    6
    64
    312.5 kHz
    Modulation effi ciency 
    250
    312.5
    0.8 symbols/sec/Hz
    User symbol transmission rate 
    48 
    250 
    1.2 Msps
    User bit per symbol 
    4 for 16-QPSK modulation





    Ch21-P373580.indd 734
    5/3/07 10:58:22 PM


    User data rate 
    3
    4

    12 
    36 Mbps
    Symbol duration 

    250 
    10
    3
    4000 ns
    Time utilization effi ciency 
    4000
    4800
    0.83

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