# WSSUS model

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The **WSSUS** (**Wide-Sense Stationary Uncorrelated Scattering**) **model** provides a [statistical](/source/Statistics) description of the transmission behavior of [wireless](/source/Wireless) [channels](/source/Channel_(communications)). "Wide-sense [stationarity](/source/Stationary_process)" means the [second-order moments](/source/Stationary_process#Weak_or_wide-sense_stationarity) of the channel are stationary, which means that they depend only on the time difference, while "uncorrelated [scattering](/source/Scattering)" refers to the delay τ due to scatterers. Modelling of mobile channels as WSSUS (wide sense stationary uncorrelated scattering) has become popular among specialists. The model was introduced by Phillip A. Bello in 1963.[1]

A commonly used description of time variant channel applies the set of [Bello functions](https://en.wikipedia.org/w/index.php?title=Bello_functions&action=edit&redlink=1) and the theory of stochastic processes.

## References

1. **[^](#cite_ref-1)** Matthias Pätzold, *Mobile Radio Channels*, ch. 7, John Wiley & Sons, 2011 [ISBN](/source/ISBN_(identifier)) [1119975255](https://en.wikipedia.org/wiki/Special:BookSources/1119975255).

- Kurth, R. R.; Snyder, D. L.; Hoversten, E. V. (1969) ["Detection and Estimation Theory"](http://dspace.mit.edu/bitstream/handle/1721.1/55859/RLE_QPR_093_IX.pdf), *Massachusetts Institute of Technology, Research Laboratory of Electronics, Quarterly Progress Report*, No. 93 (IX), 177–205

### Primary documents

- Bello, Phillip A., ["Characterization of randomly time-variant linear channels"](https://ieeexplore.ieee.org/document/1088793), *IEEE Transactions on Communications Systems*, vol. 11, iss. 4, pp. 360–393, December 1963.

## External links

- [Wide Sense Stationary Uncorrelated Scattering](http://www.wirelesscommunication.nl/reference/chaptr03/fading/wssus.htm) at www.WirelessCommunication.NL

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