getPathFilters
Get path filter impulse response for 3-D MIMO fading channel
Description
returns path filter impulse responses for the 3-D multi-input/multi-output (MIMO)
fading channel object specified by pathFilters
= getPathFilters(lte3d
)lte3d
. You can use this
information, along with the pathGains
output argument returned by the channel object, to
reconstruct a perfect channel estimate.
Examples
Reconstruct Channel Impulse Response Using 3-D Channel Path Filters
Reconstruct the channel impulse response and perform timing offset estimation using path filters of an lte3DChannel
System object.
Configure a channel for delay profile CDL-B from TR 38.901 Section 7.7.1, with 1000 ns delay spread, 2 transmit antennas, and 1 receive antenna.
lte3d = lte3DChannel.makeCDL('CDL-B',1000e-9);
lte3d.Seed = 11;
lte3d.TransmitAntennaArray.Size = [1 1 2];
lte3d.ReceiveAntennaArray.Size = [1 1 1];
Create an LTE waveform for reference measurement channel (RMC) R.10 (10MHz, QPSK, R=1/3, 2 CRS ports).
rmc = lteRMCDL('R.10');
rmc.TotSubframes = 1;
data = [1; 0; 0; 1];
[txWaveform,~,txInfo] = lteRMCDLTool(rmc,data);
lte3d.SampleRate = txInfo.SamplingRate;
Pass the waveform through the channel.
[rxWaveform,pathGains] = lte3d(txWaveform);
Perform timing offset estimation using cell-specific reference signals.
corrcfg.CellRS = 'On';
offset = lteDLFrameOffset(rmc,rxWaveform,corrcfg)
offset = 15
Obtain the path filters used in channel filtering.
pathFilters = getPathFilters(lte3d);
Reconstruct the channel impulse response using the path filters and path gains. Take the average of path gains across all time samples (first dimension). Construct the impulse response, h, for each transmit and receive antenna. Sum the responses for each transmit antenna.
[~,Np,P,R] = size(pathGains); Nh = size(pathFilters,1); h = zeros([Nh P R]); pathGains = permute(mean(pathGains,1),[2 3 4 1]); for np = 1:Np h = h + pathFilters(:,np) .* pathGains(np,:,:); end h = permute(sum(h,2),[1 3 2]); mag = abs(h);
Plot the magnitude of the channel impulse response.
plot(mag,'o:') title('Magnitude of Channel Impulse Response') xlabel('Samples') ylabel('Magnitude')
Estimate the timing offset by finding the peak of the impulse response magnitude.
offset_ref = find(mag==max(mag)) - 1
offset_ref = 15
Input Arguments
lte3d
— MIMO fading channel
lte3DChannel
System object™
MIMO fading channel, specified as an lte3DChannel
System object. This object implements the TR 36.873 link-level MIMO fading
channel.
Output Arguments
pathFilters
— Path filter impulse response
Nh-by-Np
real matrix
Path filter impulse response, returned as an Nh-by-Np real matrix, where:
Nh is the number of impulse response samples.
Np is the number of paths.
Each column of the matrix contains the filter impulse response for each path of the delay profile.
Data Types: double
Version History
Introduced in R2018a
See Also
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