# lteMovingChannel

Moving channel propagation conditions

## Description

implements
the moving propagation conditions specified in TS 36.104 [1]. The filtered waveform is stored
in matrix `out`

= lteMovingChannel(`model`

,`in`

)`out`

, where each column corresponds
to the waveform at each of the receive antennas. The columns of matrix `in`

correspond
to the channel input waveforms at each transmit antenna. The input
waveforms are filtered with the delay profiles as specified in the
parameter structure `model`

. The delay profiles
are resampled to match the input signal sampling rate. The modeling
process introduces delay on top of the channel group delay.

The time difference between the first multipath component and the reference time (assumed to be 0) follows a sinusoidal characteristic.

$$\Delta \tau =\frac{A}{2}(1+\mathrm{sin}(\Delta \omega (t+{t}_{0})))$$

Where the offset *t _{0}* is

$${t}_{0}=InitTime+\frac{3\pi}{2(\Delta \omega )}$$

If `model`

`.`

`InitTime`

is
0, the delay of the first multipath component is 0. If *t* = 0, $$\Delta \tau =0$$.
Relative delay between all multipath components is fixed.

Two moving propagation scenarios are specified in TS 36.104 [1], Annex B.4:

Scenario 1 implements an extended typical urban with 200 Hz Doppler shift (ETU200) Rayleigh fading model with changing delays. The Rayleigh fading model can be modeled using two different methods as described in

`model`

`.`

`ModelType`

. For Scenario 1,`model`

`.`

`InitTime`

also controls the fading process timing offset. Changing this value produces parts of the fading process at different points in time.Scenario 2 consists of a single non-fading path with unit amplitude and zero phase degrees with changing delay. No AWGN is introduced internally in this model.

## Examples

## Input Arguments

## Output Arguments

## References

[1] 3GPP TS 36.104. “Evolved Universal Terrestrial Radio Access
(E-UTRA); Base Station (BS) Radio Transmission and Reception.” *3rd
Generation Partnership Project; Technical Specification Group Radio Access
Network*. URL: https://www.3gpp.org.

[2] Dent, P., G. E. Bottomley, and T. Croft.
“Jakes Fading Model Revisited.” *Electronics
Letters*. Vol. 29, 1993, Number 13, pp. 1162–1163.

[3] Pätzold, Matthias, Cheng-Xiang Wang,
and Bjørn Olav Hogstad. “Two New Sum-of-Sinusoids-Based
Methods for the Efficient Generation of Multiple Uncorrelated Rayleigh
Fading Waveforms.” *IEEE Transactions on Wireless
Communications*. Vol. 8, 2009, Number 6, pp. 3122–3131.

## See Also

`lteFadingChannel`

| `lteHSTChannel`

| `lteOFDMModulate`

| `lteSCFDMAModulate`

**Introduced in R2013b**