.. _sphx_glr_auto_examples_systems:

Systems and standards
---------------------

DVB-S, DVB-S2, DVB-T, CCSDS and 5G NR.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="comnum.Dvbs2 implements the physical layer of ETSI EN 302 307-1: the BBFRAME, the BCH and LDPC codes of the standard (the 21 parity-check tables of its annexes), the bit interleaver, the QPSK, 8PSK, 16APSK and 32APSK constellations, and the PLFRAME with its π/2-BPSK header, its pilots and its Gold scrambling.">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_01_dvbs2_thumb.png
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  :doc:`/auto_examples/systems/plot_01_dvbs2`

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      <div class="sphx-glr-thumbnail-title">DVB-S2: MODCODs, constellations and frame error rates</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="NR keeps the OFDM of LTE and scales it: the subcarrier spacing is \Delta f = 2^{\mu} \cdot 15 kHz, a 1 ms subframe holds 2^{\mu} slots of 14 symbols, and the cyclic prefix shrinks as 2^{-\mu} (X. Lin et al., &quot;5G New Radio: Unveiling the Essentials of the Next Generation Wireless Access Technology&quot;, IEEE Commun. Standards Mag. 3(3), 2019, Sec. II; \mu = 0 is the numerology of LTE, D. Astély et al., IEEE Commun. Mag. 47(4), 2009). This page builds the pieces a receiver meets first: the numerology (comnum.nr_numerology, comnum.nr_ofdm_modulate), the synchronisation signal block that carries the cell identity (comnum.nr_ssb_grid, comnum.nr_detect_cell_id) and the demodulation reference signals of the data channel (comnum.nr_pdsch_dmrs).">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_02_5g_nr_thumb.png
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  :doc:`/auto_examples/systems/plot_02_5g_nr`

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      <div class="sphx-glr-thumbnail-title">5G NR: numerology, synchronisation block and reference signals</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="comnum.Dvbs implements the DVB-S transmitter of ETSI EN 300 421 V1.1.2 and a receiver aligned on the burst: the energy dispersal of the MPEG-2 transport stream (the PRBS 1 + X^{14} + X^{15} reset every 8 packets), the outer code RS(204, 188), the convolutional interleaver of 12 branches (depths 17 j), the inner code of constraint length 7 (X from 171_8, Y from 133_8) punctured to 2/3, 3/4, 5/6 or 7/8 by Table 2, and the Gray QPSK of Figure 5.">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_03_dvbs_thumb.png
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  :doc:`/auto_examples/systems/plot_03_dvbs`

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      <div class="sphx-glr-thumbnail-title">DVB-S: the error rate after the Viterbi decoder against Table 3</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="comnum.Dvbt implements the non-hierarchical DVB-T transmitter of ETSI EN 300 744 V1.6.2 and a receiver that knows the channel: the outer coding of DVB-S (energy dispersal, RS(204, 188), the convolutional interleaver), the inner code (171, 133) punctured by Table 2, the inner interleaver (six bit interleavers of 126 bits and the symbol interleaver of the 2K or 8K mode), the constellations of Figure 9, and the OFDM frame of 68 symbols with its pilots and its transmission parameter signalling (TPS).">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_04_dvbt_thumb.png
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  :doc:`/auto_examples/systems/plot_04_dvbt`

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      <div class="sphx-glr-thumbnail-title">DVB-T: the frame and the error rate after the Viterbi decoder against Annex A</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="CCSDS 131.0-B-5 (TM Synchronization and Channel Coding, 2023) specifies the channel codes of space telemetry: a convolutional code (Sec. 3), interleaved Reed–Solomon codeblocks (Sec. 4), turbo codes (Sec. 6) and LDPC codes (Sec. 7), then the markers and the randomizer that frame them on the channel (Secs. 9 and 10). comnum reproduces every table the standard prints exactly (card ccsds131_exact): the dual basis of Table F-1, the generators of Annex G, the lengths of Tables 6-2 and 7-5, the parity checks of the LDPC codes, the first bits of the randomizers.">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_05_ccsds_thumb.png
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  :doc:`/auto_examples/systems/plot_05_ccsds`

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      <div class="sphx-glr-thumbnail-title">CCSDS: the codes of telemetry against the normal approximation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="The PDSCH of comnum (comnum.NrPdsch, comnum.NrTransportBlock, comnum.NrHarqProcess) run through test 1-2 of the demodulation requirements of 3GPP TS 38.101-4 (clause 5.2.2.1.1): the fixed reference channel R.PDSCH.1-1.2 (6 PRBs of a 10 MHz carrier at 15 kHz, QPSK, MCS 4, a transport block of 480 bits), the channel TDLC300-100 (Table B.2.1.1-4, 100 Hz of Doppler), 2 transmit antennas with a random Type I precoder per bundle of 2 PRBs at every slot, 2 or 4 receive antennas, HARQ with 4 processes and the redundancy versions 0, 2, 3, 1. The metric is the fraction of the maximum throughput; the requirement is 70 % at 0.2 dB with 2 antennas and −2.9 dB with 4.">

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  .. image:: /auto_examples/systems/images/thumb/sphx_glr_plot_06_nr_pdsch_conformance_thumb.png
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  :doc:`/auto_examples/systems/plot_06_nr_pdsch_conformance`

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      <div class="sphx-glr-thumbnail-title">5G NR PDSCH: TS 38.101-4 test 1-2 against the RAN4 alignment</div>
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.. toctree::
   :hidden:

   /auto_examples/systems/plot_01_dvbs2
   /auto_examples/systems/plot_02_5g_nr
   /auto_examples/systems/plot_03_dvbs
   /auto_examples/systems/plot_04_dvbt
   /auto_examples/systems/plot_05_ccsds
   /auto_examples/systems/plot_06_nr_pdsch_conformance