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Synchronization in WLAN

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Preamble Aided Detection (cont’d)<br />

• Delay and Correlate Algorithm<br />

• This algorithm utilizes the same DSW algorithm, but with tak<strong>in</strong>g<br />

advantage of the periodicity of the short tra<strong>in</strong><strong>in</strong>g symbols at start of<br />

the preamble<br />

L−1<br />

*<br />

n<br />

= ∑ n+ k n+ k+<br />

D<br />

k = 0<br />

c r r<br />

L−1 L−1<br />

*<br />

n<br />

= ∑ n+ k+ D n+ k+ D<br />

= ∑ n+ k+<br />

D<br />

k= 0 k=<br />

0<br />

2<br />

cn<br />

r<br />

m<br />

n<br />

n<br />

2<br />

p r r r<br />

⇒ =<br />

( p )<br />

n<br />

2<br />

2<br />

C ÷<br />

( ) * p<br />

D<br />

z − P n<br />

( ) 2<br />

Delay and Correlate Algorithm<br />

Two slid<strong>in</strong>g w<strong>in</strong>dows C & P<br />

The delay D = the period of the start of the preamble (e.g. D = 16 for IEEE 802.11)<br />

<strong>WLAN</strong> <strong>Synchronization</strong> 16.3.2004 © Hafeth Hourani 17<br />

c n<br />

m n

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