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Old 09-29-2006, 11:31 PM
Oli Filth
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Default Re: OFDM cyclic prefix and delay sprea

Zeph80 said the following on 29/09/2006 20:47:
> Theres something Im confused about regardibg the cyclic prefix. In articles
> I've read they say that if a refletcion symbol arrives anytime before the
> cyclic prefix ends, then that is fine. Why is just the arrival of that
> before cyclic prefix ends important, even after the len of cyclic prefix
> that delayed symbol still exists in energy to interfere with my symbol.
> Even if I start sampling at the right OFDM symbol start time, am I not
> still receving the reflection symbol energy for the length of that symbol.


The cyclic prefix (CP) has two purposes. Firstly, it acts as a
time-domain guard interval, i.e. it prevents intersymbol interference
(ISI) from the previous symbol.

Secondly, it converts the linear convolution of the channel into
circular convolution. Circular convolution in the time domain is
equivalent to multiplication in the frequency domain (when using a DFT;
see
http://en.wikipedia.org/wiki/Discret...tion_theorem);
i.e. it ensures there is no intercarrier interference (ICI) either.

However, these only occur if the channel length (maximum reflection
delay) is shorter than the CP length.

--
Oli
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