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signal processing from power amplifier operation control point of view

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184 PRACTICAL CONSIDERATIONS<br />

from acquisition can be used to determine path delays, if needed. Depending on<br />

the equalization approach, the path delays may be determined by the processing<br />

delays, for example the tap locations of a linear equalizer.<br />

8.4.5 Pilot symbol and traffic symbol powers<br />

In certain systems, the channel is estimated from a pilot signal (known symbols)<br />

with a different power level than the traffic signal (unknown symbols to be detected).<br />

If the power relation between these two signals is known, then it is straightforward<br />

to estimate the channel response for the traffic signal by scaling the channel response<br />

estimate for the pilot signal. If the power relation is not known, then it may need to<br />

be estimated, depending on the equalization approach. This can be done by either<br />

estimating the ratio of the two powers or estimating the two powers separately. If<br />

done separately, it corresponds to estimating E¡ {k) using the notation of Chapter<br />

1. In CDM systems, this is referred to as code power estimation, as the pilot and<br />

traffic signals are often multiplexed onto different spreading codes.<br />

8.4.6 Pilot symbols and multi-antenna transmission<br />

With multi-antenna transmission, pilot symbols are sent from different transmit<br />

antennas. One approach is to send different pilot symbols from each transmit<br />

antenna so that the channel from each transmit antenna to each receive antenna can<br />

be estimated. If the multiple antennas are used to transmit the same traffic symbols,<br />

then it is also possible to bundle the pilot symbols with the traffic symbols, so that<br />

if weighted copies of the traffic signal are sent from the different transmit antennas<br />

(e.g., beamforming), then the pilot symbols pass through the same beamforming.<br />

8.5 AN EXAMPLE<br />

Here we consider channel estimation for various cellular systems. For GSM/EDGE,<br />

the channel can be estimated using a set of pilot symbols transmitted in the middle<br />

of a burst of data (midamble). The length of the burst is short enough that the<br />

channel can be considered static (not changing) over the burst (at least for most<br />

scenarios).<br />

For the US TDMA system, the burst of data is much longer. While there is a<br />

set of pilot symbols at the beginning of the burst to get started, the channel must<br />

be tracked as it changes over the data portion of the burst.<br />

For CDMA systems, it is common to employ a pilot channel, a stream of pilot<br />

symbols sent on a particular spreading code. The channel can be estimated and<br />

tracked using this continuous stream of pilot symbols.<br />

For OFDM systems, pilot symbols are transmitted at different times and on<br />

different subcarriers. This provides channel measurements in time and frequency<br />

which can be used to estimate the channel for other subcarriers and other times.

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