Unexpected two sets of IQ samples from nrCDLChannel nrTDLChannel

Hello

I am trying to introduce channel models to my IQ signal data via python and connected to matlab.engine.

```

def initialize_channel_models(mateng):
    # Configure the single antenna array in MATLAB
    mateng.eng.eval("single_antenna = struct();", nargout=0)
    mateng.eng.eval("single_antenna.Size = [1, 1, 1, 1, 1];", nargout=0)
    mateng.eng.eval("single_antenna.ElementSpacing = [0.5, 0.5, 1, 1];", nargout=0)
    mateng.eng.eval("single_antenna.PolarizationAngles = 45;", nargout=0)
    mateng.eng.eval("single_antenna.PolarizationModel = 'Model-2';", nargout=0)
    mateng.eng.eval("single_antenna.Element = '38.901';", nargout=0)
    single_antenna = mateng.eng.workspace['single_antenna']
    
    nrcdl = mateng.eng.nrCDLChannel('DelayProfile', 'CDL-C', 'NormalizePathGains', True, 'TransmitAntennaArray', single_antenna)
    nrtdl = mateng.eng.nrTDLChannel('DelayProfile', 'TDL-C', 'NormalizePathGains', True)
    rayleigh = mateng.eng.comm.RayleighChannel('SampleRate', float(20e6), 'PathDelays', float(1.5e-9), 'AveragePathGains', float(-3), 'PathGainsOutputPort', True)
    return {'NRCDL': nrcdl, 'NRTDL': nrtdl, 'Rayleigh': rayleigh}

```

Once applied to my waveform, rayleigh data returns one set of real and imaginary IQ data, but CDL and TDL returns two sets of it. I assumed it was because of the two polarization states, changed that to single as shown above, but I still get two sets of IQ samples. Additionally, this is also occuring for nrTDL data that does not involve the transmit antenna. Are two sets of data expected? What do they represent?

Best

Hud

Answer 1

[Swastik]

Hi @Hud Bin,

I have reviewed the MATLAB part of your code and identified a solution to the issue you are encountering with the "nrCDL channel" producing two waveforms. Below is the MATLAB Code I had used to create the channels and the antenna.

single_antenna = struct();
single_antenna.Size = [1, 1, 1, 1, 1];
single_antenna.ElementSpacing = [0.5, 0.5, 1, 1];
single_antenna.PolarizationAngles = 45;
single_antenna.PolarizationModel = 'Model-2';
single_antenna.Element = '38.901';

nrcdl = nrCDLChannel('DelayProfile', 'CDL-C', 'NormalizePathGains', true, 'TransmitAntennaArray', single_antenna);

Below is the code I used for the generating the transmitting waveform:

SR = 15.36e6;
T = SR * 1e-3;
nrcdl.SampleRate = SR;
cdlinfo = info(nrcdl);
Nt = cdlinfo.NumInputSignals;
txWaveform = complex(randn(T,Nt),randn(T,Nt));

The "nrCDL channel" produces two waveforms due to its default setting of two polarizations. For more details, you can refer to the documentation here:

https://www.mathworks.com/help/5g/ref/nrcdlchannel-system-object.html#mw_78913f50-756a-4c88-a765-3fb29bd8b4f2

To obtain a single set of signal output, you need to modify the "ReceiveAntennaArray" to use only one polarization. Here’s how you can do it:

nrcdl(txWaveform)

ans = 
  -0.0004 - 0.0012i  -0.0002 + 0.0009i
   0.0014 + 0.0036i   0.0004 - 0.0030i
  -0.0046 - 0.0110i  -0.0009 + 0.0094i
   0.0110 + 0.0250i   0.0013 - 0.0215i
  -0.0214 - 0.0507i  -0.0030 + 0.0433i
   0.0389 + 0.0989i   0.0077 - 0.0833i
  -0.0739 - 0.2084i  -0.0241 + 0.1716i
   0.1551 + 1.0239i   0.4847 - 0.8139i
   0.0880 + 0.8038i   0.3254 - 0.5339i
   0.2291 + 2.0330i   1.0107 - 1.6112i
   1.2163 + 2.3451i   0.2411 - 2.0422i
  -1.4382 + 0.2737i   1.0259 + 0.7314i
  -0.2040 - 0.4240i  -0.1679 + 0.2782i
  -1.3907 - 0.4322i   0.7651 + 1.1052i
   0.2620 - 0.2689i  -0.4187 - 0.2264i
   0.9765 - 0.9097i  -1.1093 + 0.2557i
  -0.0934 - 0.2046i   0.1419 + 0.1354i
  -0.4225 + 1.8960i   1.3142 - 1.0488i
   0.5080 + 0.1967i  -0.5542 - 0.3951i
   0.3042 - 1.4999i  -0.8028 + 0.9072i
  -0.4552 + 1.8484i   1.4431 - 1.0118i
  -1.5330 + 1.1353i   1.4211 + 0.0807i
   0.8800 + 0.0509i  -0.7004 - 0.6935i
   0.9749 - 1.2216i  -1.3053 + 0.5358i
  -0.3296 - 0.8597i  -0.1573 + 0.6267i
   1.0464 - 1.2337i  -1.3386 + 0.3491i
  -1.2009 + 0.1523i   1.0635 + 0.5574i
   0.2480 + 0.1264i  -0.1832 - 0.3683i
   0.2821 + 1.6575i   0.8289 - 1.2290i
   0.5171 + 0.8253i  -0.1665 - 0.7255i
  -1.4628 - 0.1838i   1.0868 + 0.9618i
   0.3978 + 1.7929i   0.4665 - 1.6565i
   0.3612 - 1.2843i  -0.9568 + 0.9685i
  -1.1931 + 0.1906i   0.9833 + 0.3821i
  -0.5666 - 2.1265i  -0.9401 + 1.8102i
  -0.6206 - 0.9932i   0.1461 + 0.7416i
   1.9592 - 0.8888i  -2.0021 - 0.4347i
  -0.6802 - 1.6848i  -0.0475 + 1.7860i
  -2.9244 + 1.3383i   2.6801 + 0.4459i
  -0.1462 + 0.2788i   0.0938 - 0.2833i
   0.4008 + 1.5177i   0.6562 - 1.1910i
  -0.5907 + 1.2849i   0.9329 - 0.4864i
   0.0570 + 0.8268i   0.3683 - 0.7086i
   1.2221 + 0.6021i  -0.5944 - 0.9422i
  -1.4149 + 0.3387i   1.2769 + 0.6841i
  -0.8125 + 1.7487i   1.3559 - 1.0665i
   2.4827 + 0.8662i  -1.3441 - 1.8442i
   0.1595 + 0.7936i   0.4292 - 0.3538i
  -1.6925 + 0.6390i   1.4293 + 0.5372i
  -2.5555 + 0.2300i   1.7224 + 1.1504i
  -0.6215 - 1.5653i  -0.5843 + 1.2092i
  -0.2721 - 1.3018i  -0.3389 + 0.9883i
   0.0520 - 0.2746i  -0.1283 + 0.0867i
  -0.4123 + 0.9121i   0.8589 - 0.4356i
   1.0434 + 0.8387i  -0.4235 - 1.1038i
  -0.9228 - 0.2042i   0.6157 + 0.7784i
  -0.3741 + 1.1785i   0.8906 - 0.7255i
  -1.9472 + 1.2017i   1.9155 + 0.4056i
  -0.7556 + 0.3454i   0.4078 - 0.1396i
   1.2571 - 2.5214i  -2.2722 + 1.2390i
  -1.3915 - 1.9064i   0.2342 + 1.9404i
  -0.0814 + 0.3279i   0.2705 - 0.2777i
  -1.7874 + 0.4812i   1.5053 + 0.7560i
  -1.3824 + 0.5186i   1.0905 + 0.2120i
  -0.6494 - 0.5803i   0.0101 + 0.7148i
   0.7009 - 1.0423i  -0.9623 + 0.2160i
   0.3015 + 0.0444i  -0.1667 - 0.1757i
   1.2407 - 0.8317i  -1.1627 - 0.0533i
  -2.0671 + 2.4391i   2.8552 - 0.4132i
  -0.5718 - 0.1499i  -0.0717 + 0.2710i
  -1.4419 + 1.0810i   1.8869 + 0.1005i
  -0.5760 + 1.9385i   1.0881 - 1.1877i
  -0.5077 + 0.6857i   0.7928 - 0.0157i
  -1.0724 + 1.3053i   1.2887 - 0.4776i
   0.0703 + 1.7660i   1.0331 - 1.1758i
  -1.9430 + 3.1115i   2.7096 - 0.9359i
  -1.7301 - 1.7817i  -0.0534 + 2.1249i
  -1.4792 + 0.2343i   1.3870 + 0.3441i
   1.2681 + 0.9770i  -0.5502 - 1.3711i
  -0.7188 + 0.3565i   0.7525 + 0.3045i
   0.3813 - 0.9280i  -0.9312 + 0.3416i
  -1.0194 - 0.3747i   0.7134 + 0.8389i
   0.9076 + 0.5906i  -0.3613 - 1.0997i
  -0.2248 + 1.7747i   1.2184 - 0.8105i
  -0.8607 + 1.2235i   1.1115 - 0.5200i
   0.1309 + 2.1298i   0.9276 - 1.3968i
  -0.5108 - 2.0544i  -1.0077 + 1.6816i
   0.4884 - 0.0070i   0.0119 - 0.3832i
  -0.7081 - 0.0414i   0.2617 + 0.5934i
  -0.9406 + 0.2443i   0.9636 + 0.0782i
   1.6173 + 1.4666i  -0.4851 - 1.8649i
   0.8465 + 1.0495i   0.1082 - 1.0687i
   0.8396 + 2.3944i   0.7043 - 2.0166i
  -0.0721 + 2.8587i   1.5113 - 1.8225i
   1.9289 + 1.6588i  -0.8026 - 2.2269i
   1.7975 - 1.7381i  -2.0480 + 0.6521i
  -2.7734 + 0.9258i   2.5945 + 0.7508i
   1.1383 - 0.0053i  -1.1670 - 0.7950i
   0.3791 - 0.8779i  -0.4156 + 0.5531i
   0.6053 + 1.8189i   0.5337 - 1.6828i
   0.2673 + 1.0911i   0.3772 - 0.7985i
   2.4072 + 1.7399i  -0.8274 - 2.5043i
   0.1711 - 0.6949i  -0.5425 + 0.7141i
   1.2304 + 0.3503i  -0.5020 - 1.1906i
   0.7448 + 1.0548i   0.0016 - 0.7000i
  -1.6811 - 0.3465i   0.9388 + 1.0232i
   0.2603 + 0.2610i  -0.0961 - 0.3784i
  -0.1201 - 1.1872i  -0.6503 + 0.9495i
  -0.3984 - 1.3588i  -0.2680 + 1.0538i
  -0.8733 + 0.9885i   1.2679 - 0.1773i
  -1.3258 + 1.5099i   1.4861 - 0.4505i
   1.8387 - 0.9757i  -1.8939 - 0.3706i
   0.4074 + 0.4064i   0.1939 - 0.3710i
   0.5922 + 0.8012i  -0.1096 - 0.9110i
   0.2442 + 0.6537i   0.2912 - 0.4599i
   0.3639 + 0.9435i   0.0744 - 0.8418i
  -0.6665 - 1.0395i  -0.0181 + 1.2557i
  -2.2006 + 1.1750i   2.1991 + 0.2620i
  -1.0734 + 0.0462i   0.4656 + 0.4296i
   0.5326 - 1.1256i  -0.9290 + 0.4628i
  -1.9632 - 0.8522i   1.0726 + 1.8149i
  -3.2184 + 1.9285i   3.2724 + 0.0794i
   0.3423 + 1.4847i   0.2216 - 1.2809i
  -0.1528 - 0.2802i  -0.0561 + 0.4193i
  -0.0297 - 1.2140i  -0.7627 + 0.6717i
   2.1485 - 1.5468i  -2.1197 - 0.1645i
   1.1144 + 0.7892i  -0.1125 - 0.9730i
  -0.5296 + 1.7025i   1.2974 - 0.8445i
   0.6817 + 2.7326i   0.8851 - 2.3039i
   1.8013 + 0.5649i  -1.2427 - 1.1592i
   0.3420 - 1.8015i  -1.0119 + 1.1976i
  -0.8872 + 0.7824i   1.0938 - 0.1434i
   0.2136 - 0.9723i  -0.8845 + 0.5760i
  -1.0922 - 1.2747i   0.3234 + 1.5386i
  -2.9240 + 0.6601i   2.3872 + 1.0835i
  -2.8192 + 1.3745i   2.5527 + 0.3006i
   0.6233 + 1.2577i   0.0939 - 1.2748i
  -1.4198 + 0.4777i   1.1600 + 0.6596i
  -1.0439 - 1.0985i   0.0085 + 1.0589i
   0.4018 - 0.0956i  -0.2501 - 0.1836i
   0.8874 - 1.0383i  -1.2819 + 0.2019i
   0.5586 - 1.6579i  -1.1157 + 0.9843i
  -1.3251 - 1.1973i   0.3785 + 1.4252i
   0.7140 + 0.7677i  -0.0491 - 1.0719i
   0.2588 - 0.9756i  -0.8271 + 0.7803i
  -1.2852 - 0.8710i   0.6575 + 1.1586i
  -0.8890 + 1.5434i   1.4462 - 0.6169i
  -0.6422 + 1.4606i   1.0270 - 0.7266i
   0.8014 - 0.3245i  -0.7535 - 0.1415i
  -1.3794 + 1.4762i   1.9013 - 0.2094i
  -0.6220 + 1.4765i   0.9713 - 0.7681i
  -0.5813 + 0.6033i   0.6851 - 0.0078i
  -0.4148 - 0.2612i   0.0017 + 0.3201i
   0.0477 - 0.4807i  -0.2140 + 0.2644i
   0.2436 + 0.3737i   0.1042 - 0.3601i
  -0.6260 + 0.9697i   0.8276 - 0.3708i
   2.2771 - 1.2527i  -2.3003 - 0.4435i
   0.3693 + 0.9496i   0.5817 - 0.6030i
  -1.0978 + 0.7088i   0.9314 + 0.1439i
  -1.8941 + 0.5501i   1.6323 + 0.6199i
   0.2344 + 0.5127i  -0.0745 - 0.7558i
   2.1238 + 0.5093i  -1.1696 - 1.3660i
   1.0464 - 1.3395i  -1.4770 + 0.4607i
   0.4897 + 0.1524i   0.0586 - 0.3224i
  -1.0474 + 0.8125i   0.9127 + 0.0975i
  -0.2488 - 1.7631i  -0.7597 + 1.2724i
  -1.1196 + 0.0944i   0.9376 + 0.5220i
  -0.3303 - 0.6427i  -0.2680 + 0.5215i
  -0.2636 - 0.3545i   0.1542 + 0.2989i
   1.4509 + 1.0432i  -0.4453 - 1.5219i
  -1.0594 + 1.3337i   1.5568 - 0.0925i
  -0.8799 + 1.7861i   1.3273 - 0.8936i
  -0.4414 + 0.2935i   0.4368 + 0.0782i
   1.1500 + 1.5748i  -0.0678 - 1.8386i
   1.2137 - 1.8132i  -1.9544 + 0.8600i
  -0.1787 - 1.1052i  -0.1322 + 0.7818i
  -1.5031 + 0.7475i   1.4268 + 0.4194i
  -2.2013 + 0.6133i   1.7275 + 0.6130i
  -1.0515 - 0.8707i   0.0938 + 1.2308i
  -3.5448 - 1.3774i   1.7838 + 2.7781i
  -1.2192 - 0.3114i   0.5596 + 0.4017i
   1.5421 - 0.1306i  -1.0577 - 0.6845i
  -0.1845 + 0.6047i   0.4982 - 0.2651i
   1.0219 + 0.1891i  -0.6757 - 0.7651i
   1.8876 - 0.2538i  -1.5022 - 0.7657i
   1.1197 - 2.4575i  -1.9698 + 1.3435i
  -2.9481 - 0.2818i   2.1222 + 1.7365i
   0.3215 - 0.8902i  -1.0942 + 0.1210i
   0.7979 - 2.3126i  -1.3807 + 1.2936i
  -0.5254 + 1.5986i   1.1968 - 0.8667i
  -1.0907 - 2.7638i  -0.9893 + 2.6360i
  -0.7084 - 1.3972i   0.1095 + 0.9337i
   1.4460 + 0.4804i  -0.9118 - 0.9866i
  -0.9584 - 1.9927i  -0.2681 + 1.9416i
   0.6643 + 0.2574i  -0.3008 - 0.7568i
   0.5645 - 1.2070i  -1.0293 + 0.7032i
  -0.0302 + 1.0013i   0.8321 - 0.8200i
   0.0335 + 1.7802i   0.7137 - 1.0156i
  -1.0365 - 0.2618i   0.4924 + 0.6220i
   1.9242 + 0.0130i  -1.3271 - 1.1398i
   0.8629 - 0.1095i  -0.6200 - 0.1997i
   0.9665 - 1.1614i  -1.3092 + 0.2511i
   0.0091 - 1.2543i  -0.5703 + 0.9829i
  -0.3804 - 0.8865i  -0.1131 + 0.6703i
   0.1855 + 0.5980i   0.1831 - 0.4954i
   0.0948 - 2.0908i  -1.3627 + 1.4757i
  -0.7063 - 1.9649i  -0.2871 + 1.5436i
   1.7647 + 0.3795i  -0.9656 - 1.3820i
   1.3658 + 0.5289i  -0.6243 - 0.8554i
   1.1661 - 0.5043i  -1.0760 - 0.3938i
   2.3630 + 0.8963i  -0.9846 - 1.6920i
  -0.8926 + 0.2654i   0.7133 + 0.4747i
   0.6986 + 0.9429i   0.0235 - 1.2443i
   1.3209 + 0.7654i  -0.4951 - 1.0562i
   1.0790 + 2.0893i   0.4211 - 2.0475i
   0.9649 + 1.0038i  -0.1985 - 0.9301i
  -1.2898 + 2.0843i   2.0425 - 0.6659i
  -1.0601 + 0.5786i   0.7816 + 0.1283i
   0.0605 + 1.4622i   0.8209 - 1.0945i
  -0.4550 + 0.6072i   0.4380 - 0.0416i
  -0.7275 - 0.2021i   0.3195 + 0.5168i
  -0.4158 - 2.9272i  -1.4730 + 2.1238i
   1.7216 - 2.5640i  -2.2999 + 0.6814i
  -0.7307 - 1.4247i   0.0664 + 1.5808i
  -1.9381 + 2.6831i   2.8123 - 1.0258i
   0.0853 - 0.0188i  -0.4203 - 0.0347i
   1.6562 + 1.0278i  -0.4133 - 1.7272i
   2.1009 - 0.8323i  -2.1450 - 0.3298i
   1.6210 - 1.2254i  -1.4662 - 0.1112i
   1.7140 - 0.0024i  -1.1075 - 0.6863i
  -0.9627 + 1.2476i   1.4609 - 0.3955i
   2.1301 + 1.3774i  -0.8436 - 2.0810i
  -0.8696 + 1.8253i   1.6046 - 0.4969i
   0.8352 - 0.5520i  -1.1776 - 0.2847i
   0.5953 - 0.6360i  -0.5281 + 0.3881i
  -1.2263 - 0.4684i   0.5862 + 0.8399i
   0.3206 + 1.3668i   0.5304 - 1.1997i
   1.3613 - 1.0618i  -1.7295 + 0.0719i
   0.3338 - 0.2966i  -0.0175 + 0.1005i
  -0.9849 + 0.8960i   1.0032 - 0.0437i
  -0.7815 + 0.3639i   0.7921 + 0.0996i
  -0.1664 + 1.9946i   1.1735 - 1.3676i
   1.2538 + 2.1057i   0.0724 - 2.0562i
   0.1155 - 0.9639i  -0.7148 + 0.8860i
  -1.8734 - 0.7207i   1.0704 + 1.3944i
  -1.0807 + 0.6606i   1.0197 + 0.0183i
  -0.2212 + 0.5348i   0.3772 - 0.3796i
   1.4857 + 0.1727i  -0.9768 - 0.8314i
  -0.6712 - 0.6993i   0.0707 + 0.9298i
   1.3110 - 1.5791i  -1.7924 + 0.1978i
   0.0052 - 1.5554i  -0.6283 + 1.3350i
  -1.7100 - 0.5460i   0.9479 + 1.0581i
   0.7241 + 0.7713i  -0.0604 - 1.0526i
   1.2672 + 1.1356i  -0.2725 - 1.3455i
   0.2640 + 1.0943i   0.4401 - 0.8257i
   0.2802 + 0.8093i   0.0778 - 0.5152i
  -2.3818 - 1.5592i   0.7720 + 2.3546i
   0.7259 - 0.5339i  -0.8760 - 0.3660i
   0.5733 - 2.8546i  -1.8540 + 1.9160i
  -0.8225 + 0.0705i   0.9462 + 0.0987i
   1.3728 + 0.6729i  -0.8496 - 1.1532i
   1.1505 - 0.9326i  -1.1049 + 0.0736i
   0.3855 + 1.1176i   0.4380 - 0.8751i
  -0.3706 + 0.5645i   0.3625 - 0.1841i
   1.1715 - 1.1105i  -1.3621 + 0.1125i
  -0.4241 + 0.5891i   0.7551 - 0.0365i
  -0.7619 + 0.2713i   0.5749 + 0.0863i
   1.0276 + 1.2294i  -0.0501 - 1.4229i
   0.5882 - 0.3969i  -0.7107 + 0.1403i
  -0.7013 + 0.3065i   0.7822 + 0.1221i
   0.4574 - 0.2028i  -0.6250 - 0.1552i
   0.0707 - 0.9164i  -0.3915 + 0.7502i
  -2.0236 + 0.0083i   1.4770 + 0.9398i
   0.7416 + 1.8978i   0.4137 - 1.8158i
  -0.1231 - 0.7132i  -0.4894 + 0.6980i
   1.7798 - 1.0215i  -1.6933 - 0.3826i
  -0.5429 - 1.6961i  -0.4272 + 1.6892i
   0.3862 + 0.6168i   0.2211 - 0.9705i
   0.3877 + 0.6849i   0.0360 - 0.3572i
  -0.3637 + 0.9945i   0.8002 - 0.7232i
   2.4786 + 0.4023i  -1.6759 - 1.5365i
   1.3036 - 1.1063i  -1.3539 + 0.3095i
  -1.0569 - 0.3732i   0.6232 + 0.7893i
   0.4474 + 0.5991i   0.0495 - 0.7215i
  -1.1324 + 0.9221i   1.1924 + 0.1490i
  -0.0280 - 0.3426i  -0.2230 - 0.0539i
   2.3058 + 1.4163i  -0.7975 - 2.0802i
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   0.4152 + 0.3606i  -0.2551 - 0.4747i
   0.5948 - 1.7366i  -1.1782 + 0.9715i
  -1.7295 + 1.3956i   2.0916 - 0.0361i
   0.0981 - 0.1563i  -0.5658 - 0.0923i
   0.8570 - 1.9569i  -1.3573 + 0.9485i
  -0.7511 + 1.1046i   1.1764 - 0.2781i
  -2.0676 - 0.8456i   0.7936 + 1.6291i
   0.2103 - 0.1831i  -0.1443 - 0.1018i
  -2.3631 + 0.5618i   1.9980 + 0.9403i
   0.3752 + 2.2431i   0.7767 - 1.9932i
  -0.4029 - 0.9194i  -0.4088 + 1.1118i
   1.1085 - 0.1352i  -0.6614 - 0.8277i
   0.5616 + 0.4225i  -0.1575 - 0.2799i
  -0.6067 + 0.8920i   0.9793 - 0.3285i
  -2.5415 + 0.8277i   2.0632 + 1.0033i
  -2.0369 + 0.3074i   1.4459 + 0.5430i
  -0.5405 + 0.3005i   0.4610 + 0.1836i
  -1.5490 + 0.0750i   1.0989 + 0.5789i
   2.0140 + 0.8108i  -1.0938 - 1.7987i
   1.7848 - 1.6431i  -2.0861 + 0.4840i
  -0.4412 - 0.0144i   0.6038 + 0.1142i
   1.8100 + 1.4678i  -0.6476 - 2.0098i
   0.8080 - 0.2497i  -0.5353 + 0.0374i
  -1.5613 + 1.8989i   2.0998 - 0.5025i
   0.3470 + 0.4129i  -0.2600 - 0.5787i
   1.3918 + 0.6243i  -0.5446 - 1.1089i
   0.4931 - 0.3259i  -0.5682 + 0.0643i
   0.4138 + 0.9649i   0.4106 - 0.9575i
   1.1018 + 1.4530i  -0.1246 - 1.4994i
   0.3265 + 0.4846i   0.0357 - 0.3380i
  -0.9280 - 0.3174i   0.4064 + 0.7384i
   0.2946 + 0.4215i   0.0541 - 0.6879i
   2.1546 + 0.6234i  -1.1609 - 1.4206i
  -0.6058 + 0.5167i   0.7463 + 0.1172i
   0.4823 - 0.4850i  -0.7855 + 0.0068i
  -0.2867 - 1.4396i  -0.4096 + 1.2040i
   0.0408 + 0.5476i   0.3396 - 0.4936i
  -1.1561 + 0.3019i   0.9056 + 0.5177i
   0.6670 + 1.1063i   0.1807 - 1.4450i
   2.1669 + 2.4833i  -0.1804 - 2.5920i
  -0.3011 + 0.9463i   0.6085 - 0.3221i
  -0.2872 + 0.7147i   0.5654 - 0.3128i
  -0.9611 + 0.7184i   0.9832 + 0.0059i
   0.5344 + 0.9213i   0.0473 - 0.9908i
  -0.2709 + 0.0969i   0.2586 + 0.2332i
   0.2266 + 0.8715i   0.1551 - 0.9128i
   2.4059 - 2.4443i  -3.0455 + 0.4741i
   0.8646 - 0.5402i  -0.5076 + 0.0280i
  -1.1027 - 0.8361i   0.1804 + 1.2145i
   0.0090 - 0.6704i  -0.2965 + 0.3088i
  -0.5181 - 1.7124i  -0.5831 + 1.5945i
  -1.5985 - 0.1313i   1.2323 + 0.7432i
   0.0420 - 0.1848i  -0.3566 + 0.0596i
   0.2886 - 0.2770i  -0.0786 - 0.0729i
   1.0873 + 2.4893i   0.5244 - 2.2067i
  -0.6859 + 0.1259i   0.4347 + 0.4752i
  -0.5865 + 1.0500i   1.0139 - 0.5022i
  -1.4006 + 0.0927i   0.7973 + 0.8607i
  -1.6347 - 1.2465i   0.4106 + 1.5032i
   0.9991 - 1.4338i  -1.5168 + 0.2609i
   1.4406 - 1.5692i  -1.6283 + 0.4541i
  -2.1766 - 0.7416i   1.2201 + 1.8045i
  -1.3715 + 0.0015i   0.9178 + 0.3456i
   1.9078 + 1.2626i  -0.6557 - 1.9113i
   1.5700 + 0.4451i  -0.8614 - 1.0671i
   3.0126 + 0.7353i  -1.6565 - 2.1303i
   2.3748 - 0.4928i  -1.8678 - 0.5886i
  -0.2815 - 0.1206i   0.2830 + 0.2972i
   0.1549 - 0.3021i  -0.4108 + 0.0996i
   0.6959 - 0.8520i  -0.8214 + 0.1354i
   1.8852 + 0.3684i  -1.0771 - 1.2643i
   0.7174 - 0.7392i  -0.8431 + 0.3776i
  -0.8407 - 0.6131i   0.2428 + 0.7990i
   0.5813 - 2.0461i  -1.5547 + 1.0660i
  -1.1323 - 0.9736i   0.5922 + 1.3349i
  -1.9444 + 1.2612i   1.9479 + 0.0442i
  -0.7499 + 0.9785i   0.9758 - 0.3670i
   0.2906 + 1.7130i   0.6400 - 1.3303i
   0.1215 - 0.0986i  -0.3463 + 0.0685i
   1.0956 - 1.3892i  -1.4294 + 0.2980i
   0.2334 - 0.2586i  -0.1400 + 0.1787i
  -0.8781 + 0.0272i   0.5559 + 0.4303i
  -0.3922 - 0.7893i  -0.1594 + 0.7091i
  -0.3728 + 0.6515i   0.7723 - 0.3158i
  -0.1759 + 1.5415i   0.7367 - 0.9221i
  -0.0672 - 1.3444i  -0.7090 + 0.9827i
  -0.3410 + 0.9211i   0.8889 - 0.4845i
  -1.0001 - 0.5050i   0.1505 + 1.0012i
  -1.2757 - 1.3229i   0.3086 + 1.3965i
   0.8614 + 0.2665i  -0.4791 - 0.8166i
   1.3256 + 0.6569i  -0.4090 - 1.0662i
   0.8724 + 1.9069i   0.3657 - 1.7573i
   1.4510 + 0.2499i  -0.9577 - 0.7390i
  -1.2802 + 0.0799i   0.9986 + 0.7388i
   0.2933 - 0.1967i  -0.4904 - 0.2634i
   1.3411 - 0.5906i  -1.0540 - 0.1731i
  -0.6188 + 1.0242i   1.0010 - 0.3114i
  -0.2341 + 0.0565i   0.0881 - 0.0101i
   1.1882 + 0.5151i  -0.5279 - 0.9272i
  -1.1318 - 0.8797i   0.2757 + 1.3715i
  -0.5590 + 0.5521i   0.8342 - 0.3655i
   1.1637 + 2.0663i   0.1913 - 2.0159i
   1.6668 + 0.7824i  -0.8074 - 1.3077i
   0.0897 + 0.1959i   0.1499 + 0.0032i
  -0.4948 + 1.9064i   1.3496 - 1.1503i
   0.9770 + 0.6455i  -0.5920 - 0.8816i
   0.8869 - 1.8487i  -1.6623 + 0.8489i
   0.0382 - 2.8006i  -1.3155 + 2.0192i
  -2.0843 + 0.3996i   1.8954 + 0.5576i
   2.8493 + 1.4120i  -1.4708 - 2.6126i
  -0.0090 - 2.0079i  -1.0685 + 1.9279i
  -2.0157 - 2.3021i   0.3520 + 2.2764i
   0.0755 + 1.8087i   1.1129 - 1.3376i
  -0.5814 + 1.6989i   1.0188 - 0.7902i
   0.4146 - 0.4243i  -0.4943 + 0.0335i
   0.2549 + 1.0926i   0.4313 - 0.8403i
  -0.0006 - 0.1545i  -0.1785 + 0.1390i
  -0.4541 + 0.4391i   0.6717 + 0.0185i
  -1.8627 + 0.0730i   1.0888 + 0.9799i
  -0.9391 - 1.9466i  -0.4142 + 1.6542i
   0.7781 + 0.0219i  -0.3827 - 0.7133i
   3.7227 + 0.4748i  -2.3922 - 2.2259i
   1.2671 - 1.3783i  -1.4702 + 0.5347i
   1.4923 - 0.5700i  -1.2726 - 0.4468i
  -0.8212 - 1.7590i  -0.3300 + 1.9151i
  -0.5422 - 1.0613i  -0.1529 + 0.6434i
   1.5151 - 1.0872i  -1.5519 + 0.0564i
  -0.9668 + 0.7016i   1.3151 + 0.0685i
  -1.2251 + 2.1867i   1.8893 - 0.8204i
  -1.6908 + 0.8155i   1.3485 + 0.3919i
  -0.7699 - 0.2132i   0.5239 + 0.3123i
   1.2398 + 4.3089i   1.4822 - 3.6721i
   1.1548 + 0.9723i  -0.6447 - 1.0133i
   0.3194 + 0.9013i   0.4795 - 0.7447i
   0.1672 + 0.9432i   0.1121 - 0.7640i
   2.5533 - 0.1633i  -1.7599 - 1.2863i
   1.1480 + 0.3372i  -0.5391 - 0.6176i
   0.7498 + 0.2906i  -0.3715 - 0.5590i
  -1.0821 - 0.6578i   0.4174 + 1.1949i
  -0.4167 + 0.4270i   0.4855 - 0.3160i
   0.3021 - 0.5818i  -0.5484 + 0.3703i
   0.1758 + 0.2604i   0.0257 - 0.4414i
   1.6266 - 1.4785i  -1.9468 + 0.2773i
  -1.0968 + 0.4954i   1.3658 + 0.3265i
  -0.7485 + 1.1526i   0.8001 - 0.5472i
   2.1236 - 0.9730i  -1.9895 - 0.5693i
   2.4492 - 0.0921i  -1.5348 - 1.0780i
   0.0027 + 0.8020i   0.5036 - 0.4272i
   0.2722 + 0.8472i   0.2547 - 0.6926i
  -1.0360 + 1.3153i   1.3489 - 0.2631i
   0.5268 - 0.1299i  -0.5850 - 0.3581i
   0.8791 + 0.8016i   0.0160 - 0.8813i
   0.2559 + 1.1037i   0.2055 - 0.9681i
   2.6668 - 0.7281i  -2.2087 - 0.8993i
   1.3546 + 0.5108i  -0.4491 - 0.9317i
   1.5912 + 0.7842i  -0.8168 - 1.3860i
   1.4462 - 0.8922i  -1.3310 + 0.0354i
   0.1043 + 1.7151i   0.9450 - 1.2659i
   0.6776 - 0.2077i  -0.8066 - 0.0314i
  -1.4723 - 0.9382i   0.6288 + 1.4796i
  -1.0957 - 0.3909i   0.5913 + 0.6777i
  -0.9449 + 2.4765i   2.0470 - 1.2122i
   0.1404 + 0.4861i  -0.2307 - 0.4630i
   0.9019 - 0.8325i  -0.9064 + 0.2179i
  -1.7411 - 0.7885i   0.6994 + 1.5391i
  -0.6450 - 1.1125i  -0.0898 + 0.8510i
   0.1430 + 0.4553i   0.2262 - 0.3666i
   0.1322 + 0.3854i  -0.0167 - 0.3770i
   0.6385 - 0.8663i  -0.7806 + 0.3038i
  -0.6141 + 1.7310i   1.4141 - 0.7995i
  -1.0086 - 0.7337i   0.0172 + 1.0681i
   0.1030 - 0.3853i  -0.0729 - 0.0042i
   0.9588 + 0.6478i  -0.4245 - 0.8209i
  -0.9565 - 0.7970i   0.2936 + 1.0965i
   0.2626 - 0.0883i  -0.2978 - 0.1776i
  -0.7026 - 0.9186i   0.1175 + 1.0751i
   0.3043 + 1.6508i   0.6588 - 1.5291i
   1.4835 - 0.4597i  -1.3703 - 0.2851i
   0.2558 + 1.0997i   0.5988 - 0.9126i
   0.4999 - 0.2061i  -0.6675 + 0.0146i
  -0.8107 + 0.0788i   0.7854 + 0.3752i
  -0.1094 - 0.4450i  -0.4424 + 0.3132i
   0.8263 - 1.9272i  -1.4740 + 0.7645i
   1.9061 - 0.4200i  -1.3566 - 0.7316i
  -0.0010 + 0.8245i   0.5365 - 0.3756i
   0.1168 - 0.1934i  -0.3765 - 0.0485i
   2.1366 - 1.1375i  -2.0189 - 0.3798i
   1.5422 - 0.9209i  -1.4257 - 0.0556i
  -0.0268 - 0.1237i   0.1545 + 0.1467i
  -0.4847 + 1.3364i   0.9772 - 0.5867i
  -1.2900 - 0.7858i   0.3141 + 1.2362i
   0.2228 - 0.2083i  -0.1622 - 0.1797i
   0.5881 + 0.1959i  -0.3688 - 0.3529i
   0.2220 - 0.6235i  -0.4218 + 0.2962i
   0.8604 + 0.7666i  -0.1199 - 1.1513i
   3.3450 + 1.1710i  -1.6836 - 2.4598i
  -0.1824 + 0.0659i   0.1324 + 0.4304i
   0.0874 - 2.0220i  -1.2757 + 1.1361i
   0.6319 - 2.2287i  -1.4754 + 1.2705i
  -0.2775 - 1.4317i  -0.3433 + 1.0215i
  -0.8747 + 1.8790i   1.7553 - 0.7594i
  -1.3667 + 0.0328i   0.5416 + 0.7246i
  -0.2848 - 2.2692i  -0.8979 + 1.5718i
  -0.0895 - 0.0559i   0.1406 + 0.0348i
  -0.4124 - 0.1155i   0.2150 + 0.2987i
  -0.1672 + 0.4881i   0.4094 - 0.2921i
  -0.2688 + 0.2736i   0.2661 + 0.0565i
  -1.6679 - 0.4222i   0.8715 + 1.1950i
  -0.7484 - 0.7294i   0.1280 + 0.6915i
  -0.1224 + 1.0709i   0.7774 - 0.6130i
  -2.0525 + 1.2537i   2.0227 + 0.2985i
  -1.1400 + 2.3252i   1.9580 - 1.1857i
   0.6865 + 1.2456i  -0.1302 - 1.1553i
   0.5489 - 0.9370i  -0.8122 + 0.3810i
   0.2603 + 0.7072i   0.2895 - 0.6070i
  -0.3681 + 0.0980i   0.1761 + 0.2061i
  -0.2544 - 0.3481i   0.0723 + 0.2744i
   1.0071 + 1.2189i  -0.0590 - 1.4539i
   1.3572 + 0.7273i  -0.4816 - 1.0819i
  -0.3676 + 2.1165i   1.3820 - 1.0908i
  -1.0335 - 0.3428i   0.2628 + 0.8325i
  -1.0135 - 0.6174i   0.4519 + 0.9403i
  -1.1637 - 0.7612i   0.2849 + 0.9656i
   1.7144 - 0.2226i  -1.2274 - 0.8889i
   0.9217 - 0.9796i  -1.2222 + 0.2978i
   2.9109 - 1.3749i  -2.5947 - 0.8102i
   2.0394 - 0.2143i  -1.2757 - 0.5735i
  -1.1395 + 0.5974i   1.1510 + 0.2711i
  -1.0949 - 0.1013i   0.5341 + 0.6087i
  -0.0715 - 1.2651i  -0.6553 + 0.8999i
  -1.8341 - 1.2247i   0.7020 + 1.8070i
  -0.5856 - 0.4314i   0.1669 + 0.4356i
  -1.0716 - 0.1812i   0.6428 + 0.6550i
   1.3361 - 0.1569i  -1.0231 - 0.7229i
  -0.7124 + 0.0346i   0.5883 + 0.5293i
   0.9614 - 0.2746i  -0.9197 - 0.5065i
  -0.3394 - 0.9846i  -0.2303 + 1.0716i
   0.9561 - 0.9327i  -1.1377 - 0.1977i
   1.5785 + 0.0249i  -0.9675 - 0.6181i
   0.0701 - 1.6451i  -1.0185 + 1.1296i
  -0.6418 - 1.4455i  -0.0854 + 1.3157i
  -0.3225 + 0.6385i   0.5909 - 0.4022i
  -0.0013 + 0.7342i   0.3365 - 0.4354i
  -0.0308 - 0.3920i  -0.2560 + 0.2902i
   0.2298 + 0.2144i   0.0509 - 0.3960i
   1.8224 + 0.2778i  -1.2290 - 1.0417i
  -1.0575 - 0.9699i   0.4204 + 1.3404i
   0.4063 + 2.2739i   0.9215 - 1.9598i
  -0.4298 - 0.3598i  -0.1552 + 0.7407i
   0.4670 - 0.8896i  -0.6807 + 0.1001i
   0.8046 - 0.6077i  -0.9408 + 0.1499i
   0.5323 - 1.2591i  -0.8715 + 0.4498i
   0.4198 + 1.1137i   0.4495 - 0.8588i
  -1.1737 + 0.7385i   1.0776 + 0.2063i
  -1.7008 + 0.2526i   1.3118 + 0.7317i
  -1.4559 + 0.7803i   1.2807 + 0.0924i
  -0.3420 + 0.2184i   0.3866 + 0.0739i
  -2.2495 + 1.0297i   1.9340 + 0.5282i
  -0.6188 - 2.1613i  -0.8564 + 1.6433i
  -1.5364 + 1.2701i   2.1084 - 0.0334i
  -1.2385 + 1.2126i   1.0102 - 0.3199i
   0.8838 - 1.7775i  -1.4800 + 0.7529i
  -0.0828 - 0.1870i   0.0450 + 0.1273i
   1.0325 - 0.3594i  -0.9201 - 0.3494i
   0.2191 - 0.0623i  -0.0346 + 0.0488i
  -0.8715 + 0.2670i   0.6064 + 0.4102i
  -2.6339 - 1.6220i   1.0313 + 2.3512i
   1.5229 + 2.4437i   0.2513 - 2.7740i
   0.0559 - 0.6665i  -0.5207 + 0.7656i
   0.5986 + 1.7200i   0.7165 - 1.6824i

release(nrcdl)
nrcdl.ReceiveAntennaArray.Size = [1 1 1 1 1];
nrcdl(txWaveform)

ans = 
  -0.0005 - 0.0016i
   0.0019 + 0.0051i
  -0.0065 - 0.0156i
   0.0155 + 0.0353i
  -0.0303 - 0.0718i
   0.0551 + 0.1399i
  -0.1045 - 0.2948i
   0.2193 + 1.4480i
   0.1245 + 1.1368i
   0.3240 + 2.8751i
   1.7202 + 3.3164i
  -2.0340 + 0.3871i
  -0.2885 - 0.5996i
  -1.9667 - 0.6113i
   0.3705 - 0.3803i
   1.3810 - 1.2865i
  -0.1321 - 0.2893i
  -0.5975 + 2.6813i
   0.7184 + 0.2782i
   0.4302 - 2.1212i
  -0.6437 + 2.6140i
  -2.1679 + 1.6056i
   1.2444 + 0.0720i
   1.3787 - 1.7275i
  -0.4661 - 1.2158i
   1.4798 - 1.7447i
  -1.6983 + 0.2154i
   0.3507 + 0.1787i
   0.3989 + 2.3440i
   0.7313 + 1.1671i
  -2.0688 - 0.2599i
   0.5625 + 2.5356i
   0.5108 - 1.8163i
  -1.6873 + 0.2696i
  -0.8013 - 3.0073i
  -0.8776 - 1.4046i
   2.7708 - 1.2569i
  -0.9619 - 2.3826i
  -4.1357 + 1.8927i
  -0.2068 + 0.3943i
   0.5668 + 2.1464i
  -0.8354 + 1.8171i
   0.0806 + 1.1692i
   1.7283 + 0.8515i
  -2.0009 + 0.4791i
  -1.1490 + 2.4730i
   3.5111 + 1.2250i
   0.2256 + 1.1223i
  -2.3936 + 0.9037i
  -3.6141 + 0.3253i
  -0.8789 - 2.2137i
  -0.3848 - 1.8410i
   0.0735 - 0.3884i
  -0.5831 + 1.2899i
   1.4755 + 1.1861i
  -1.3051 - 0.2888i
  -0.5291 + 1.6666i
  -2.7537 + 1.6994i
  -1.0686 + 0.4884i
   1.7778 - 3.5658i
  -1.9679 - 2.6961i
  -0.1152 + 0.4637i
  -2.5278 + 0.6806i
  -1.9550 + 0.7334i
  -0.9184 - 0.8207i
   0.9913 - 1.4741i
   0.4263 + 0.0629i
   1.7546 - 1.1762i
  -2.9234 + 3.4495i
  -0.8087 - 0.2120i
  -2.0392 + 1.5288i
  -0.8146 + 2.7415i
  -0.7180 + 0.9698i
  -1.5166 + 1.8460i
   0.0995 + 2.4975i
  -2.7478 + 4.4004i
  -2.4467 - 2.5197i
  -2.0920 + 0.3313i
   1.7934 + 1.3817i
  -1.0165 + 0.5041i
   0.5392 - 1.3124i
  -1.4416 - 0.5299i
   1.2835 + 0.8352i
  -0.3180 + 2.5098i
  -1.2172 + 1.7302i
   0.1851 + 3.0120i
  -0.7224 - 2.9054i
   0.6907 - 0.0098i
  -1.0014 - 0.0585i
  -1.3302 + 0.3455i
   2.2872 + 2.0741i
   1.1971 + 1.4842i
   1.1873 + 3.3862i
  -0.1020 + 4.0428i
   2.7279 + 2.3460i
   2.5421 - 2.4580i
  -3.9222 + 1.3093i
   1.6098 - 0.0075i
   0.5361 - 1.2416i
   0.8560 + 2.5723i
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I hope this solution resolves the issue you are facing