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## A Matlab-based Object-Oriented Approach to Multipath Fading Channel Simulation

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This white paper explains the algorithms used in the Communications Toobox's fading channel function

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Multipath fading channel simulators are essential components of wireless systems physical layer simulations. This white paper presents a MATLAB-based approach to multipath fading channel simulation.
Section II presents an overview of popular methodologies for the simulation of multipath fading channels. Two effects must be simulated: the time selectivity of the channel (Doppler spreading) due to motion, and the frequency selectivity (time spreading) due to resolvable multipath components. Simulation approaches are reviewed for both these tasks.

Section III presents an overview of the simulation methodology used in our channel simulator. The simulator employs an interpolated filtered Gaussian noise source to simulate the Doppler spreading, followed by a bandlimited channel transformation to efficiently simulate the multipath dispersion. Both Rayleigh and Rician processes can be generated, for a set of different Doppler spectra.

Section IV presents the application programming interface (API) of the Communications Toolbox's channel functions, along with channel object properties. Examples illustrate how to create channel objects, use them in a simulation, and visualize simulation quantities using the channel visualization tool.

Simulation examples are given in Section V. The statistical performance is evaluated in terms of the simulated fading processes' probability distributions, Doppler spectra and autocovariances.

Xiaochen Zhang

### Xiaochen Zhang (view profile)

Terrific!

Spencer Carmichael

### Spencer Carmichael (view profile)

I believe there is a typo in equation (15). s(tau - tau_k) should be s(t - tau_k). Can anyone confirm?

Paul Dirac

### Paul Dirac (view profile)

Any idea how Eq. 16 is obtained ? It looks like the Shannon-Whittaker reconstruction formula, but with the time (t) variable in the signal factor s(t) instead of the sinc factor ??? Eq. 16 claims to reconstruct s(t-/tau) using samples of the sinc(B[\tau - nTs]) function(s) to scale delayed versions s(t - nT_s), i.e. uses s(t - nT_s) as basis functions for the reconstruction, whereas the orginal form uses the sinc functions as basis functions?

Dan Wu

thanks

Deema42

Ho Hoa

### Ho Hoa (view profile)

Hello,

I tried to use lteFadingChannel() function in MATLAB. But I don't understand the meaning of SEED and NTERM variables. Can you explain for me?

Niamen Parsa

### Niamen Parsa (view profile)

Hello, How can I visualize the fading channel simulated using 'sum of sinusoid' ?

Xiyu Wang

zhang yao

### zhang yao (view profile)

this file should be download from database IEEE exploded libraries www.ieee.com ，then search “A Matlab-based Object-Oriented Approach to Multipath Fading Channel Simulation” key words

aion

Wei Lau

hui

excellent

abhinibesh

excellent

hongjiang lei

gang

hou

thanks

Angel

mahmod

thanks alot

yang lin

Guan Gui

### Guan Gui (view profile)

David Xiang

thanks

Tarakapraveen Uppalapati

Very good file and very useful for the beginner of the channel simulation using OOP.

PP Zhu

Solomon Uzoaru

I am yet to grab the whole stuff!

David Donovan

Exactly what I was looking for. I was wondering what was going on inside of rayleighchan() and friends!

dd ddd

ok

huzaifa kapasi

excellent reference ... many thanks