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5G NR - Constellation diagram example with MATLAB

Constellation diagram example with MATLAB [Under 5G NR]

We shall continue example from earlier article, "MATLAB simulation of 5G NR DL Data", to take a look at "Constellation diagram".

Below is constellation diagram for TX Grid (PDSCH in our example).
It is evident that it is 16QAM modulation (refer above article).



After OFDM modulation, we added noise (normal distribution), demodulated, and constructed constellation diagram for RX Grid.
3GPP TS 38.901 specify various channel models; here, we simply added noise, created from MATLAB random number generator function, "randn".




Below is snapshot of the MATLAB program, used to create above constellation diagrams.

% FiGSpark™ Copyright 2021 Samir Amberkar
% Example based on MATLAB release 2021a
...

pdschGrid = nrResourceGrid(FiGSpark_gNB.Carrier,FiGSpark_gNB.NTxAnts);
[~,pdschAntIndices] = nrExtractResources(pdschIndices,pdschGrid);
pdschGrid(pdschAntIndices) = pdschSymbols;

txWaveform = nrOFDMModulate(FiGSpark_gNB.Carrier, pdschGrid);

noisyChannel = 0.002 * complex(randn(size(txWaveform)),randn(size(txWaveform)));
rxWaveform = txWaveform + noisyChannel;

rxGrid = nrOFDMDemodulate(FiGSpark_gNB.Carrier, rxWaveform);

fig1 = figure;
plot(pdschGrid,'.');
exportgraphics(fig1,'txgrid-constellation.png');

fig2 = figure;
plot(rxGrid,'.');
exportgraphics(fig2,'rxgrid-constellation.png');

Below are captured grid symbols.

TX (PDSCH) grid
RX grid

TX (PDSCH) grid (612,14):

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First posted on Thursday, September 02, 2021