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NOTE : This note is about a tempary 5G specification that was implemented and tried before 5G specification is finalized. I keep this note for study purpose.

BRRS (Beam Refinement Reference Signal)

Parameter

BRRS

NID_BRRS = 0;

ns = 0;

l = 0;

Disclaimer : This code is just to push myself (probably readers) to look into the algorithm (formula) specified in the specification to the most detailed level. If you try to convert the specification into the programming code whatever language you choose, you will understand the equation / algorithm in much more detailed level than just reading the document. However, this code has not been verified with any real data.

Filename : Generate_Brrs.m

Last Update : Dec 25, 2016

%V5G.211 - 6.7.5.1

function SequenceBrrs = Generate_Brrs(BRRS)

NID_BRRS = BRRS.NID_BRRS;

N_RB_MAX_DL = BRRS.N_RB_MAX_DL;

ns = BRRS.ns;

l = BRRS.Symbol;

ns_bar = mod(BRRS.ns,20);

r_m = [];

% Generate Psuedo Random Sequence

C_init = 2^10 * (7*(ns_bar + 1) + l + 1) * (2 * NID_BRRS + 1) + 2 * NID_BRRS + 1;

r_m_l = [];

c_m_even = [];

c_m_odd = [];

PR.x2_init = C_init;

for m = 0 : (floor(3/8 * N_RB_MAX_DL)-1)

PR.n = 2*m;

c_m = Generate_PR(PR);

c_m_even = [c_m_even c_m];

PR.n = 2*m+1;

c_m = Generate_PR(PR);

c_m_odd = [c_m_odd c_m];

end;

r_m_l = (1 ./ sqrt(2) * (1 - 2 .* c_m_even)) + (j .* 1 ./ sqrt(2) * (1 - 2 .* c_m_odd));

SequenceBrrs.r_m_l = r_m_l;

end

Filename : PlotSequence_Brrs.m

Last Update : Dec 25, 2016

function h=PlotSequence_Brrs(BrrsSequence,PlotOption)

plotData = BrrsSequence.r_m_l;

if isfield(PlotOption,'NumOfDataToPlot') == 1

NumOfDataToPlot = PlotOption.NumOfDataToPlot;

end;

l = PlotOption.Symbol;

w = 10;

d_n=plotData;

subplot(1,w,[1 (l*w)+2]);

plot(real(d_n),imag(d_n),'ro', ...

'MarkerFaceColor',[1 0 0],'MarkerSize',2);

set(gca,'xticklabel',[]);set(gca,'yticklabel',[]);

set(gca,'xtick',[]);set(gca,'ytick',[]);

ylabel(strcat('symbol = ',num2str(l)));

set(gca,'fontsize',8);

subplot(1,w,[((l*w)+3) ((l*w)+w)]);

n = 0:length(d_n)-1;

plot(n,real(d_n),'r-',n,imag(d_n),'b-');

if exist('NumOfDataToPlot') == 1

xlim([0 NumOfDataToPlot]);

else

xlim([0 n(end)]);

end;

set(gca,'xticklabel',[]);set(gca,'yticklabel',[]);

set(gca,'xtick',[]);set(gca,'ytick',[]);

end

Filename : Test_Generation_Brrs.m

Last Update : Dec 25, 2016

clear

PlotOption = [];

BRRS.NID_BRRS = 0;

BRRS.N_RB_MAX_DL = 100;

BRRS.ns = 0;

BRRS.Symbol = 0;

BrrsSequence = Generate_Brrs(BRRS);

%PlotOption.NumOfDataToPlot = 16;

PlotOption.Symbol = 0;

PlotSequence_Brrs(BrrsSequence,PlotOption);