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LTE - Small peek into PHY chain (with MATLAB simulation)

LTE - Small peek into PHY chain (with MATLAB simulation) [Under LTE]

Whether it is eNB or UE, "Simulation" is one of the most basic and important PHY development activities.
MATLAB is one of the most used tools for PHY simulation.
Below is a simple and top level diagram of simulation.



Let us take a simple example of PDSCH(+CSR) for 5 MHz bandwidth(25 RBs), SISO, QPSK, 1/3 Turbo coding configuration
with a single transport block fitting into one codeword.
Below is TX chain further magnified for DL data; Ref: 3GPP TS 36.212(DLSCH) and 3GPP TS 36.211 (PDSCH).
Few chain elements like Code segmentation, Precoding, Layer mapping and so on are not present as we have taken a simple case of SISO and small TB.




Below is snapshot of MATLAB program for above TX chain.
For full program, please refer Chapter 5 of "Understanding LTE with MATLAB by Zarrinkoub H.".

%% TX
% Generate payload
dataIn = genPayload(nS, prmLTEDLSCH.TBLenVec);
% Transport block CRC generation
tbCrcOut1 =CRCgenerator(dataIn);
% Channel coding includes - CB segmentation, turbo coding, rate matching,
% bit selection, CB concatenation - per codeword
[data, Kplus1, C1] = lteTbChannelCoding(tbCrcOut1, nS, prmLTEDLSCH, prmLTEPDSCH);
%Scramble codeword
scramOut = lteScramble(data, nS, 0, prmLTEPDSCH.maxG);
% Modulate
modOut = Modulator(scramOut, prmLTEPDSCH.modType);
% Generate Cell-Specific Reference (CSR) signals
csr = CSRgenerator(nS, prmLTEPDSCH.numTx);
% Resource grid filling
E=8*prmLTEPDSCH.Nrb;
csr_ref=reshape(csr(1:E),2*prmLTEPDSCH.Nrb,4);
txGrid = REmapper_1Tx(modOut, csr_ref, nS, prmLTEPDSCH);
% OFDM transmitter
txSig = OFDMTx(txGrid, prmLTEPDSCH);


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

Transport block bits (2600)
Codeword i.e. after 1/3 Turbo Coding + Rate matching (7500)
After Scrambling (7500)
After QPSK Modulation (3750)
CSR (50, 4)
TX grid with PDSCH+CSR (25*12=300,7*2=14)
TX signal (7680)


Transport block bits (2600):

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



Codeword i.e. after 1/3 Turbo Coding + Rate matching (7500):

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



After Scrambling (7500):

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FFT size = 512, cpLen0 = 40, cpLenR = 36
Total samples = 2 * (N*7 + cpLen0 + cpLenR*6) = 7680
TX signal (7680):

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Copyright © Samir Amberkar 2010-21§

LTE - UL HARQ « LTE Index » .
First posted on Monday, August 16, 2021