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5G NR - Small peek into PHY chain (with MATLAB simulation)

5G NR - Small peek into PHY chain (with MATLAB simulation) [Under 5G NR]

Similar to "LTE - Small peek into PHY chain", let us take a look at 5G NR DL Data TX chain using MATLAB simulation.
Here we will use "5g Toolbox".

Below is 5G DL TX chain (gNB) magnified for DL data.



Simulation was done for Numerology 1 (30 kHz), 20 MHz, SISO, 16 QAM, 1/3 LDPC coding configuration
with a single transport block fitting into one codeword.

Below is snapshot of MATLAB program for above TX chain (precoding/reference signals/SSB are not considered).

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

gNB_nrDLSCH = nrDLSCH;
gNB_nrDLSCH.MultipleHARQProcesses = true;
gNB_nrDLSCH.TargetCodeRate = FiGSpark_gNB.PDSCHExtension.TargetCodeRate;

FiGSpark_gNB.Carrier.NSlot = 0;

[pdschIndices,pdschIndicesInfo] = nrPDSCHIndices(FiGSpark_gNB.Carrier,FiGSpark_gNB_PDSCH);

TBSizes = nrTBS(FiGSpark_gNB_PDSCH.Modulation,FiGSpark_gNB_PDSCH.NumLayers,...
numel(FiGSpark_gNB_PDSCH.PRBSet),pdschIndicesInfo.NREPerPRB,...
FiGSpark_gNB.PDSCHExtension.TargetCodeRate,0);

rng('default');
transportBlock = randi([0 1],TBSizes(1),1);
setTransportBlock(gNB_nrDLSCH,transportBlock,0,0);

codedTB = gNB_nrDLSCH(FiGSpark_gNB_PDSCH.Modulation,FiGSpark_gNB_PDSCH.NumLayers,...
pdschIndicesInfo.G,0,0);

pdschSymbols = nrPDSCH(FiGSpark_gNB.Carrier,FiGSpark_gNB_PDSCH,codedTB);

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

txWaveform = nrOFDMModulate(FiGSpark_gNB.Carrier, pdschGrid);

Further, I captured bits and values at few stages for one sample run.
These are put below.

Transport block bits (10504)
Codeword i.e. after 1/3 LDPC Coding + Rate matching (33456)
PDSCH Symbols (33456/4=8364, no reference signals)
PDSCH TX grid (51*12=612 REs,14 Symbols, no reference signals)
TX signal (15360)


Above TX Signal can further be analysed or used. For example, below is PSD diagram, generated with below MATLAB commands.

sampleRate = 20000000.00; % 20 mhz
periodogram(txWaveform, hamming(length(txWaveform)),[], sampleRate, 'centered');



Transport block bits (10504):

1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0
0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1
1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0
1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0
0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0
1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1
0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0
1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1
1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1
1 1 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0
0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1
1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0
1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1
1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0
1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1
1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1
1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0
0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1
1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1
0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0
1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0
0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0
0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0
1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1
0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1
1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0
1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1
0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1
1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1
0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0
1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1
1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1
0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1
1 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0
1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1
0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 1 1
0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1
1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0
0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0
1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1
1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 0 0
0 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1
1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0
1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1
1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0
1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1
1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0
1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1
0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0
1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0
1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 0
0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1
1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1
0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1
1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0
1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1
1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 0
0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1
0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1
1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0
1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 1
1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0
0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1
0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0
1 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1
1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1
1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1
1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1
0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0
0 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1
0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1
1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0
1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0
0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1
1 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0
0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1
0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 1 1
1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1
0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1
1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1
0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1
1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0
0 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1
1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 0
1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1
1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1
1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1
1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1
1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0
1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0
0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0
1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1
0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1
0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0
1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0
0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1
1 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1
1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1
1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1
0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1
0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0
0 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0
1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1
0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1
1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1
1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 0
0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0
1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1
1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0
0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1
0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0
0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1
0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1
0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0
1 0 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1
1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1
1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1
1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1
0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0
0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1
1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1
1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1
0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0
1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1
0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1
1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1
0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0
1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0
0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0
1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0
0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1
1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0
0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0
1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0
0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0
1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0
1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0
1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0
1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1
0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0
0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0
0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1
1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1
0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0
0 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1
1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1
0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0
0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0
0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1
0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0
0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0
1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0
0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0
1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1
0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1
0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0
1 1 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0
0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0
1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0
0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0
1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0
0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0
0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0
1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1
0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0
1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0
0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1
1 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0
1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0
1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1
0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0
0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0
1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1
1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0
1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1
0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0
0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1
0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0
1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0
0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0
0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0
1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0
1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1
1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1
1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1
1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1
0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1
0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1
1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0
1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1
0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0
1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1
0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1
0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 0
0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0
1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1
1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 0 0
0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1
1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1
0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1
0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1
0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0
0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1
1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0
1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0
1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 1
1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1
0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0
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0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 0
1 0 1 0 0 0 1 0



Codeword i.e. after 1/3 Turbo Coding + Rate matching (33456):

1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 1
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FFT size (N) for 20 MHz = 1024, cpLen0 = 80, cpLenR = 72
Total samples = 2 * (N*7 + cpLen0 + cpLenR*6) = 15360
TX signal (15360):

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First posted on Sunday, August 29, 2021