Cuntz algebra: Difference between revisions

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+ Short section on applied math. The existing Jorgensen reference already discuss this.
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In telecommunications, the '''delay spread''' is a measure of the [[Multipath propagation|multipath]] richness of a communications channel.
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In general, it can be interpreted as the difference between the time of arrival of the earliest significant multipath component (typically the [[Line-of-sight propagation|line-of-sight]] component) and the time of arrival of the latest multipath component.
The delay spread is mostly used in the characterization of wireless channels, but it also applies to any other multipath channel (e.g. multipath in optical fibers).
 
Delay spread can be quantified through different metrics, although the most common one is the root mean square ([[root mean square|rms]]) delay spread. Denoting the [[power delay profile]] of the channel by <math>A_c(\tau)</math>, the mean delay of the channel is
 
:<math>\overline{\tau}=\frac{\int_0^\infty\tau A_c(\tau)d\tau}{\int_0^\infty A_c(\tau)d\tau}</math>
 
and the rms delay spread is given by <ref>{{citation |  last1=Goldsmith | first1=Andrea | title=Wireless Communications | year=2005 | isbn=978-0-521-83716-3 | publisher=[[Cambridge University Press]] | page=86  }}</ref>
 
:<math>\tau_{\text{rms}}=\sqrt{\frac{\int_0^\infty(\tau-\overline{\tau})^2  A_c(\tau)d\tau}{\int_0^\infty A_c(\tau)d\tau}}</math>
 
==References==
{{Reflist}}
 
==Bibliography==
* Saunders, Antennas and propagation for Wireless communication systems, 2nd ed, pp246–250, 2007
 
[[Category:Radio frequency propagation]]
 
 
{{radio-comm-stub}}

Latest revision as of 23:54, 1 July 2014

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