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Synchronization in WLAN

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Symbol Tim<strong>in</strong>g Algorithm<br />

• Symbol tim<strong>in</strong>g can be<br />

performed by calculat<strong>in</strong>g<br />

the crosscorrelation of the<br />

received signal r n and a<br />

known reference t k<br />

|m n |<br />

Correct symbol tim<strong>in</strong>g po<strong>in</strong>t<br />

L−1<br />

tˆ<br />

s<br />

= arg max ∑ r t<br />

n<br />

k = 0<br />

*<br />

n+<br />

k k<br />

In the equation, the value of n that corresponds to<br />

maximum absolute value of the crosscorrelation is the<br />

symbol tim<strong>in</strong>g estimate<br />

2<br />

Sample <strong>in</strong>dex<br />

The output of the crosscorrelator that uses the first 64 samples of<br />

the long tra<strong>in</strong><strong>in</strong>g symbols of IEEE 802.11 preamble<br />

SNR = 10 dB<br />

<strong>WLAN</strong> <strong>Synchronization</strong> 16.3.2004 © Hafeth Hourani 21

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