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Wireless Network Design: Optimization Models and Solution ...

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13 <strong>Optimization</strong> of <strong>Wireless</strong> Broadb<strong>and</strong> (WiMAX) Systems 299<br />

uplink, one slot is a block of 24 sub-carriers by 3 symbols. Mobile WiMAX employs<br />

a carrier permutation scheme that spreads the carriers of each slot over the whole<br />

b<strong>and</strong>width to have better frequency diversity. Thus the sub-carriers of each slot are<br />

spread over the whole b<strong>and</strong> width.<br />

For 10 MHz b<strong>and</strong>width systems, assuming 2:1 down link to uplink ratio, there<br />

are about 390 slots for down link traffic after removing the overhead associate with<br />

FCH <strong>and</strong> MAPs. The total slots for uplink is about 140, after removing the overheads<br />

associated with ranging <strong>and</strong> feedback channels.<br />

The down link slot is further split into two clusters, <strong>and</strong> each cluster contains 14<br />

sub-carriers in frequency <strong>and</strong> 2 symbols in time, forming 28 points in the two dimensional<br />

frequency-time space (Fig. 13.2). Among them, four points are the pilots<br />

for channel estimation. The uplink slot is split into 6 tiles, <strong>and</strong> each tile occupies<br />

4 sub-carriers in frequency <strong>and</strong> 3 symbols in time, forming 12 points in the twodimensional<br />

frequency-time space, among them, 4 points are the pilots for channel<br />

estimation (Fig. 13.3).<br />

Fig. 13.2 Downlink PUSC Slot<br />

WiMAX supports the following modulation coding schemes: 4QAM1/2, 4QAM3/4<br />

16QAM1/2, 16QAM3/4, 64QAM1/2, 64QAM2/3, 64QAM3/4, <strong>and</strong> 64QAM5/6.<br />

The first number indicates the modulation order <strong>and</strong> the last number indicates the<br />

coding rate. The modulation coding scheme (MCS) can be dynamically adjusted<br />

based on the signal strength, channel condition <strong>and</strong> the interference level. Hybrid

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