Delay Spread

Delay Spread



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Delay Spread
In system evaluations, we typically prefer to address a class of channels
with properties that are likely to be encountered, rather than one specific
impulse response. Therefor we define the (local-mean) average power which is
received with an excess delay that falls within the interval ( T , T
+ dt ). Such characterization for all T gives the "delay profile"
of the channel.

The delay profile determines the frequency dispersion, that is, the extent
to which the channel fading at two different frequencies f 1
and f 2 is correlated .


MP2 audio : Measured channel
data in Edinburgh.

Source: Research group of Prof. Peter
Grant , U. of Edinbourough. See also: discussion of channel
modeling to study CDMA
array processing . Playlist
leading you through the topic of array processing and adaptive antennas
for CDMA. It includes a discussion of the channel model.




In indoor and micro-cellular channels, the delay spread is usually smaller, and rarely exceed a few hundred nanoseconds. Seidel and Rappaport reported delay spreads in four European cities of less than 8 microsec in macro-cellular channels, less than 2 microsec in micro-cellular channels, and between 50 and 300 ns in pico-cellular channels.







Figure: Typical delay profile: Exponential






Figure: Typical indoor delay profile:




In an indoor environment, early reflections
often arrive with almost identical power. This gives a fairly flat profile up to some
point, and a tail of weaker reflections with larger excess delay.





Figure: Typical "bad urban" delay profile



Besides the normal reflections from nearby obstacles (which cause reflection with a short excess delay),
remote high-rise buildings cause strong reflections with large excess delay.
The combined effects often result in multiple clusters of reflections.



From the delay profile, one can compute the correlation of the fading
at different carrier frequencies.



Figure Auto-Covariance of the received amplitude of
two carriers transmitted with certain frequency offset.






The above expressions only represent the behavior of the profile curve.
A correction factor is needed to ensure that the integral over all t equals unity, or to represent the total local-mean power.


Often propagation parameters are measured in frequency domain. Klaus Witrisal
discusses how the delay spread can be estimated
directly from a frequency transfer function .

Figure: Example of impulse response and frequency transfer function
of a multipath channel.


Figure: Measured Delay profile in a German urban environment at 1800 MHz
Delay Spread = 1.2 m sec; coherence BW = 1.3 MHz


Source: Research group of Prof. Paul Walter Baier, U. of Kaiserslautern, Germany.
See also: corresponding scatter plot .



FIGURE: R.M.S. Delay Spread vs. propagation distance in the
U.C. Berkeley, Cory Hall Building.
Source: John Davis and Jean-Paul Linnartz

Figure: Illustration of reflections of various kinds.

Source: Peter Grant, U. of Edinbourough.



  exp(- t /1 m s)
0.5 exp(5- t /1 m s)

for 0 < t < 5 m s
for 5 < t < 10 m s


  exp(-3.5 t /1 m s)
0.1 exp(15- t /1 m s)

for 0 < t < 2 m s
for 15 < t < 20 m s




Adaptive channel equalization
Channel estimation training sequence






Use the handset only in small cells with small delay spreads
Diversity and channel selection can help a little bit (pick a channel where late reflections are in a fade)



Rake receiver separately recovers signals over paths with excessive delays.
CDMA array processing can further improve
performance, because it also exploits angle spreads .





OFDM multi-carrier modulation: The radio
channel is split into many narrowband (ISI-free) subchannels





Delay spread — Wikipedia Republished // WIKI 2
Delay Spread
delay spread - это... Что такое delay spread ?
Delay Spread - YouTube
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English - Russian electronics dictionary .

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