5G/NR  -  PDSCH  

 

 

 

PDSCH DMRS(DeModulation Reference Signal) in a Nutshell

 

  • What is this for ?  It is a special physical signal for downlink radio channel estimation especially for decoding PDSCH.
  • Why PDSCH DMRS ? In LTE, there is always on downlink reference siganal called CRS (Cell Reference Signal), but we don't have such a always-on reference signal in NR. Instead NR uses a specific reference signal for each physical channel.
  • For every PDSCH, it is mandatory to have at least one OFDM symbol of DMRS.
  • We can configure additional PDSCH DMRS in addition to the mandatory DMRS. We can add one, two or three additional symbols optionally.
  • In general, UE may decode PDSCH more reliably (i.e, less BLER) as we put more additional DMRS but ideal max throughput would decrease since DMRS takes up more resource elements and as a result the resource elements for user data get reduced.
  • The OFDM symbol for the first DMRS can be 2 (the third symbol) or 3 (the fourth symbol) and this is configured by MIB/PBCH

PDSCH DMRS(DeModulation Reference Signal) in Detail

PDSCH DMRS is a special type of physical layer signal which functions as a reference signal for decoding PDSCH. In LTE (at least in TM1, 2, 3, 4), we don't need this kind of special DMRS for PDSCH because we can use CRS(Cell Specific Reference Signal) for PDSCH decoding.  However, in 5G/NR there is no CRS. That's why we need the DMRS dedicated for PDSCH decoding.

Basic questions.

DMRS configuration sometimes is pretty confusing unless you have some type of big picture. If you frequently refresh yourself with the following questions, it will be helpful when you read further details in this page.

What is the difference between Mapping Type A and  B in terms of resource allocation ?

Type A can start only at symbol 2 or 3 within a slot, meaning that SLIV that start from symbol 4 or higher cannot use this type of DMRS.

Type B starts always at the first symbols of scheduled SLIV.

What is the difference between configuration type 1 and 2 in terms of resource allocation ?

In Configuration type 1, the minimum resource element group in frequency domain is one RE. In Configuration type 2, the minimum resource element group in frequency domain is two consecutive REs. See the pictures in Resource Element Mapping.

What is the effect of port number on DMRS resource element position ?

As antenna port number changes, the location of DMRS position in frequency domain changes.  Check out this note for the details.

How many DMRS symbol can be put into a slot ?

Minimum number is 1, but it can be more than 1 depending on dmrs-AdditionalPosition in RRC. Max number is 4. See 38.211 - Table 7.4.1.1.2-3 and 38.211 - Table 7.4.1.1.2-4 for the details.

Parameters

38.211-7.4.1.1

Higher Layer Parameter

Value

Comment

DL-DMRS-Scrambling-ID

{0,1}

Sequence Generation

DL-DMRS-Scrambling-ID

{0,1,..,65535}

Sequence Generation

Configuration Type

DL-DMRS-config-type

dmrs-Type

type1, type2

RE Mapping

DL-DMRS-typeA-pos

dmrs-TypeA-Position

pos2, pos3

RE Mapping

 

DL-DMRS-add-pos

dmrs-AdditionalPosition

pos0, pos1, pos2, pos3

RE Mapping

 

DL-DMRS-max-len

 

RE Mapping

single or double symbol

 

 

RE Mapping

 

MIB ::= SEQUENCE {

    ...

    dmrs-TypeA-Position                 ENUMERATED {pos2, pos3},

    ...

}

 

PDSCH-TimeDomainResourceAllocation ::=      SEQUENCE {

    k0                                  INTEGER (1..32)

    mappingType                         ENUMERATED {typeA, typeB},

    startSymbolAndLength                INTEGER (1..127)

}

 

PDSCH-TimeDomainResourceAllocation-r16 ::= SEQUENCE {

k0-r16                                                        INTEGER(0..32) OPTIONAL, -- Need S

mappingType-r16                                          ENUMERATED {typeA, typeB},

startSymbolAndLength-r16                             INTEGER (0..127),

repetitionNumber-r16                                    ENUMERATED {n2, n3, n4, n5, n6, n7, n8, n16} OPTIONAL,

                                                                                                             -- Cond Formats1-0and1-1

...

}

 

k0 : Corresponds to L1 parameter 'K0'. When the field is absent the UE applies the value 0

mappingType : PDSCH mapping type. Corresponds to L1 parameter 'Mapping-type' (See SLIV page)

startSymbolAndLength : An index into a table/equation in RAN1 specs capturing valid combinations of start symbol and length (jointly encoded). Corresponds to L1 parameter 'Index-start-len' (See SLIV page)

 

PDSCH-Config ::=                        SEQUENCE {

    ...

    dmrs-DownlinkForPDSCH-MappingTypeA     SetupRelease { DMRS-DownlinkConfig }

    dmrs-DownlinkForPDSCH-MappingTypeB     SetupRelease { DMRS-DownlinkConfig }

    ...

}

 

DMRS-DownlinkConfig ::=               SEQUENCE {

    dmrs-Type                    ENUMERATED {type2}                      OPTIONAL,   -- Need R

    dmrs-AdditionalPosition      ENUMERATED {pos0, pos1, pos3}           OPTIONAL,   -- Need R

    dmrs-group1                  BIT STRING (SIZE (12))                  OPTIONAL,   -- Need R

    dmrs-group2                  BIT STRING (SIZE (12))                  OPTIONAL,   -- Need R

    maxLength                    ENUMERATED {len2}                       OPTIONAL,   -- Need R

    scramblingID0                INTEGER (0..65535)                      OPTIONAL,   -- Need S

    scramblingID1                INTEGER (0..65535)                      OPTIONAL,   -- Need S

    phaseTrackingRS              SetupRelease { PTRS-DownlinkConfig  }   OPTIONAL,   -- Need M

    ...

}

 

PTRS-DownlinkConfig ::= SEQUENCE {

    frequencyDensity             SEQUENCE (SIZE (2)) OF INTEGER (1..276) OPTIONAL, -- Need S

    timeDensity                  SEQUENCE (SIZE (3)) OF INTEGER (0..29) OPTIONAL, -- Need S

    epre-Ratio                   INTEGER (0..3) OPTIONAL, -- Need S

    resourceElementOffset        ENUMERATED { offset01, offset10, offset11 } OPTIONAL, -- Need S

...

}

 

dmrs-Type : Selection of the DMRS type to be used for DL. If the field is absent, the UE uses DMRS type 1.

dmrs-AdditionalPosition : Position for additional DM-RS in DL. The four values represent the cases of 1+0, 1+1, 1+1+1. 1+1+1+1 non-adjacent OFDM symbols for DL. If the field is absent, the UE applies the value pos2.

dmrs-group1 : DM-RS groups that are QCL:ed, i.e. group 1

dmrs-group2 : DM-RS groups that are QCL:ed, i.e. group 2  

maxLength : The maximum number of OFDM symbols for DL front loaded DMRS. 'len1' corresponds to value 1. 'len2 corresponds to value 2. If the field is absent, the UE applies value len1. Corresponds to L1 parameter 'DL-DMRS-max-len'

scramblingID0 : DL DMRS scrambling initalization. Corresponds to L1 parameter 'n_SCID 0'. When the field is absent the UE applies the value Physical cell ID (physCellId) configured for this serving cell

scramblingID1 : DL DMRS scrambling initalization. Corresponds to L1 parameter 'n_SCID 0'. When the field is absent the UE applies the value Physical cell ID (physCellId) configured for this serving cell  

phaseTrackingRS : Configures downlink PTRS. If absent or released, the UE assumes that downlink PTRS are not present  

It would be almost impossible for you to get the practical meaning of these parameters just by looking into the specification unless you are the person who designed this algorithm or create your own program to implement this specification and plot it in graphics. I am not the person who desgined the algorithm and I don't have my own program to implement it. So it was so difficult for me to get any intuitive understandings on these parameters and algorithm. Fortunately, I got a chance to try with Matlab 5G library. Followings are the examples in graphics that I created using Matlab 5G library. I posted Matlab code and more examples here. The subcarrier spacing used in this example is 30 Khz and for the simplicity I assigned only one RB for the PDSCH.

Examples

Look through these examples and try to get some intuitive pattern. If it is not easy for you to see any pattern, refer to Resource Element Mapping section first and then get back to these examples.

Following is the Matlab 5G Toolbox code that I wrote for all the examples in this page

carrier = nrCarrierConfig('NSlot',0);

 

pdsch = nrPDSCHConfig;

pdsch.NumLayers = 1;

pdsch.PRBSet = 0:50;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

 

dmrs = nrPDSCHDMRSConfig;

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

 

if pdsch.NumLayers == 1

   dmrs.DMRSPortSet = [0];

elseif pdsch.NumLayers == 2

   dmrs.DMRSPortSet = [0 1];

elseif pdsch.NumLayers == 3

   dmrs.DMRSPortSet = [0 1 2];

elseif pdsch.NumLayers == 4

   dmrs.DMRSPortSet = [0 1 2 3];

end   

 

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.DMRS = dmrs;

 

sym_dmrs = nrPDSCHDMRS(carrier,pdsch,'OutputDataType','single');

ind_dmrs = nrPDSCHDMRSIndices(carrier,pdsch,'IndexBase','0based','IndexOrientation','carrier');

ind_pdsch = nrPDSCHIndices(carrier,pdsch,'IndexBase','0based','IndexOrientation','carrier');

 

grid = complex(zeros([carrier.NSizeGrid*12 carrier.SymbolsPerSlot pdsch.NumLayers]));

grid(ind_dmrs+1) = sym_dmrs;

grid(ind_pdsch+1) = 0.5;

 

% Plot the grid

hFig = figure(2);

set(hFig, 'Position', [100 100 900 200]);

set(gcf,'color','w');

 

for i = 1:pdsch.NumLayers

    subplot(1,4,i)

    hold on;

    imagesc(abs(grid(:,:,i)));

    title(strcat('Port 100',num2str(dmrs.DMRSPortSet(i))));

    for i = 2:14

        line([i-0.5 i-0.5],[0 273*12],'Color','white');

    end

    for j = 1:12

        line([0 15],[j+0.5 j+0.5],'Color','white');

    end

    hold off;

    axis xy;

    box on;

    xlabel('OFDM Symbols');

    ylabel('Subcarriers');

    xlim([0.5 14.5]);

    ylim([0.5 12.5]);

    set(gca,'xtick',[0:14]);

    set(gca,'xticklabel',{'','0','1','2','3','4','5','6','7','8','9','10','11','12','13'});

    set(gca,'ytick',[0:12]);

    set(gca,'yticklabel',{'','0','1','2','3','4','5','6','7','8','9','10','11'});

end

NOTE : Following is the color coding for the RE (Resource Elements) in the examples in this note

< Layers and Number of DMRS CDM Group(s) Without Data >

pdsch.NumLayers = 1;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 3;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 1;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 3;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 1;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 1;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 1;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 3;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 3;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 3;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 3;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 3;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 3;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 3;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

< dmrs-type >

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

< dmrs-AdditionalPosition >

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 1;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 2;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 3;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

< dmrs-TypeA-Position >

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 3;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 3;

dmrs.DMRSTypeAPosition = 3;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

< maxLength >

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 2;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'A';

pdsch.SymbolAllocation = [0 14]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 2;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 2;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

< PDSCH Mapping Type B>

pdsch.NumLayers = 2;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 1;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 1;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 2;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 1;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 1;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 1;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

 

pdsch.NumLayers = 4;

pdsch.MappingType = 'B';

pdsch.SymbolAllocation = [4 7]; % [startSymbol  Length]

dmrs.DMRSConfigurationType = 2;

dmrs.DMRSLength = 1;

dmrs.DMRSAdditionalPosition = 0;

dmrs.DMRSTypeAPosition = 0;

dmrs.NumCDMGroupsWithoutData = 2;

dmrs.NIDNSCID = 10;

dmrs.NSCID = 0;

Sequence Generation

Following shows how the DMRS data is generated as the baseband. You don't need to understand every details of this unless you are an engineer working at this specific item. Just try to understand what kind of parameters are involved in this process.

  • The sequence generation starts with defining the scrambling identity NIDSCID. This identity can range from 0 to 65535 and is set based on whether a higher-layer parameter DL-DMRS-Scrambling-ID is configured.
  • If the DL-DMRS-Scrambling-ID is not set, NIDSCID defaults to the cell ID NIDcell.
  • The initialization sequence cinit is then calculated using a formula that incorporates NIDSCID, the slot number ns, and other parameters, modulo 231.
  • Two sequences x1(n) and x2(n) are generated and used to create the scrambling sequence c(n) through a specified polynomial relationship and modulo 2 arithmetic.
  • The DMRS sequence r(m) is constructed using the scrambling sequence, involving complex number calculations to produce the final sequence.
  • Finally, the actual PDSCH DMRS symbols ak',l'(p,u) are obtained by scaling the DMRS sequence with a precoding matrix wk' and a sequence of phase shifts wtilde(r).

Resource Element Mapping

Resource Mapping of PDSCH DMRS is done as following equation. For simplicity, let's think of the location of resource element only (i.e, let's think only of k and l). k represents frequency domain location and l represents time domain location.

With this in mind, the first thing you can notice would be

  • Configuration type changes the location pattern in frequency domain
    • Configurataion Type 1 :  3 pairs(6 Resource Elements:RE) of DMRS are dispersed in one OFDM symbol/one RB at the interval of 4 REs (4n). The two RE in each pare are apart at the interval of 2 RE(2k'). In short, 6 REs of DMRS symbols are dispersed at every other REs in frequency domain. This supports 8 DMRS ports in case of double-symbol DMRS(port 1000~1007) and 4 DMRS ports in case of single symbol DMRS(port 1000~1003). See Table 7.4.1.1.2-1 and Table 7.4.1.1.2-5 for further details.
    • Configuration Type 2 : 2 pairs(4 Resource Elements:RE) of DMRS are dispersed in one OFDM symbol/one RB at the interval of 6 REs (6n). The two RE in each pare are apart at the interval of  1 RE(k'), meaning that the two REs in each pair are contiguous. This supports 12 DMRS ports in case of double-symbol DMRS(port 1000~1011) and 8 DMRS ports in case of single symbol DMRS(port 1000~1007). See Table 7.4.1.1.2-2 and Table 7.4.1.1.2-5 for further details.
  • PDSCH mapping type changes the location pattern in time domain
    • PDSCH Mapping Type A : In this type, the DMRS symbol can start only at symbol 2 or 3 regardless of PDSCH start and length. It implies this cannot be used when PDSCH start symbol is greater than 3. This is related to the row 'Type A' in PDSCH SLIV table. This type is used for slot based scheduling.
    • PDSCH Mapping Type B : In this type, the DMRS symbol can start at the first PDSCH symbol regardless of PDSCH start. This is related to the row 'Type B'  in PDSCH SLIV table. This type is used for mini-slot based scheduling

Another points you would notice would be

  • frequency domain location(k) is determined by equation(formula) as shown below
  • time domain location(l) is determined by a predefined table and predefined value.

 

The result of this equation is well summarized by Ref [1] as shown below. If you really want to understand the details of this equation, fill out the resource grid on your own by hand. Since this is simple formula, you would be able to calculate the position of this DMRS RE by hand.

Tables

Followings are various tables that are used in Sequence Generation and Resource Element Mappaing shown above.

< 38.211 - Table 7.4.1.1.2-1: Parameters for PDSCH DM-RS configuration type 1 >

 

< 38.211 - Table 7.4.1.1.2-2: Parameters for PDSCH DM-RS configuration type 2 >

 

< 38.211 - Table 7.4.1.1.2-3: PDSCH DM-RS positions   for single-symbol DM-RS >

This table shows how the location of single symbol DMRS(i.e, maxlength = 1) is determined for each PDSCH mapping type. It shows that for mapping type B there is only one case where additional dmrs can be used. It is when the length of PDSCH is 7 symbols. For mapping type A, one additional dmrs can be used when PDSCH symbol length is equal to or greather than 9, two additional dmrs can be used when PDSCH symbol length is equal to or greather than 10 and three additional dmrs can be used when PDSCH symbol length is equal to or greather than 12.

<38.211-15.2 >

<38.211-16.4 >

NOTE : l1 in above table is defined as follows in 38.211-7.4.1.1

  • the case dmrs-AdditionalPosition equals to 'pos3' is only supported when dmrs-TypeA-Position is equal to 'pos2';
  • ld = 3 and  ld = 4 symbols in Tables 7.4.1.1.2-3 and 7.4.1.1.2-4 respectively is only applicable when dmrs-TypeA-Position is equal to 'pos2';
  • single-symbol DM-RS, l1 = 11 except if all of the following conditions are fulfilled in which case l1 = 12:
  • the higher-layer parameter lte-CRS-ToMatchAround, lte-CRS-PatternList1, or lte-CRS-PatternList2 is configured; and
  • the higher-layer parameter dmrs-AdditionalPosition is equal to 'pos1' and l0 = 3; and
  • the UE has indicated it is capable of additionalDMRS-DL-Alt

 

< 38.211 - Table 7.4.1.1.2-4: PDSCH DM-RS positions   for double-symbol DM-RS >

This table shows how the location of double symbol DMRS(i.e, maxlength = 2) is determined for each PDSCH mapping type. It shows that for mapping type B additional dmrs cannot be used. For mapping type A, only one additional dmrs can be used when PDSCH symbol length is equal to or greather than 10. Regardless of mapping type, 2 additional dmrs cannot be used.

 

< 38.211 -Table 7.4.1.1.2-5: PDSCH DM-RS time index l'  and antenna ports p >

This table shows how many DMRS antenna port can be used for each DMRS configuration (i.e, Configuration type and max length of DMRS symbols). As shown here, when the max dmrs symbol lengh is 1, maximum 4 dmrs antenna ports can be used for configuration type 1 and max 6 dmrs port can be used for configuration type 2. When the max dmrs symbol length is 2, 8 dmrs antenna port can be used for configuration type 1 and 12 dmrs antenna port can be used for configuration type 2.

This information is used to select which Antenna port table is associated in DCI 1_1 for setting up SISO/MIMO

Reference

[1] Wireless Technology Evolution - Transition from 4G to 5G : 5G Americas