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Wireless Network Design: Optimization Models and Solution ...

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308 Hang Jin <strong>and</strong> Li Guo<br />

uplink power densities received at the BTS from different MS are the same if they<br />

use the same MCS. For example, for MCS 0 (4QAM ), the uplink power density is<br />

targeted at -125dBm measured in 10.938 kHz (The b<strong>and</strong>width of one carrier), <strong>and</strong><br />

for MCS 3 (16AM ), the power density is targeted at -116dBm measured in 10.938<br />

kHz. The desired power density levels for different MCS are different to ensure that<br />

the received signal can have sufficient CINR for each MCS (Table 13.2).<br />

According to WiMAX protocol, the uplink power control is done on a per MS<br />

basis. That is, there is only a single power control for each MS. If MS has multiple<br />

burst with different MCS, it is MS’s reasonability to maintain different power<br />

densities among various bursts with different desired MCS. For example, let MS A<br />

have two bursts, where burst 1 uses 4QAM , <strong>and</strong> burst 2 uses 16QAM . Then, MS A<br />

needs to allocate its transmitter power in such a way that the power density for the<br />

second burst is 6dB higher than that of burst 1.<br />

13.3.3.3 Uplink Open Loop Power Control<br />

Due to the multi-path or/<strong>and</strong> MS mobility, the path loss between BS <strong>and</strong> MS varies<br />

with time. To maintain a desired constant received signal level at BS, the MS needs<br />

to vary its output power to compensate the path loss changes. The uplink open loop<br />

power control is done as follows:<br />

• MS receives the systems parameters including the receive sensitivities, antenna<br />

gain, BS transmitted power, at the network entry (the systems parameters will be<br />

broadcast periodically by BS).<br />

• MS detects the down link signal level (preamble power)<br />

• From the detected downlink power, BS antenna gain, <strong>and</strong> BS transmitted power,<br />

MS computes the path loss as: PL = PBS + BSantgain − Ppreamble where PBS<br />

is the BS transmitted power, BSantgain is BS antenna gain, <strong>and</strong> Ppreamble is<br />

the detected preamble power.<br />

• MS then computes the required transmitted power Ptx = Prx + PMCS + PL −<br />

BSantgain where Prx is the required BS sensitivity, PMCS is the power offset<br />

for the desired MCS, (it is the additional CINR required for this MCS beyond<br />

that lowest MCS (4QAM )). Ptx is the current MS output power.<br />

The open loop power control is done at MS side, <strong>and</strong> is transparent to BS.<br />

Uplink Close Loop Power Control<br />

Open loop power control can eliminate most of the signal variation due to the channel<br />

fading <strong>and</strong> MS movement. However, the open loop power control varies the MS<br />

transmitted power based on the down link signal variation, it does not factor in any<br />

uplink signal degradation due to the uplink interferences or other impairments. To<br />

rectify the issue, closed loop power control is added to help tune the uplink transmitted<br />

power. As the name implies, closed loop power control requires comm<strong>and</strong>s

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