5G/NR - Pre Trial - Physical Signal - BRS

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.

BRS (Beam Reference Signal)

 BRS Full BRS - Initial 62 data

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_Brs.m Last Update : Dec 24, 2016 %V5G.211 - 6.7.4.1 function SequenceBrs = Generate_Brs(BRS)       NID_Cell = BRS.NID_Cell;     N_RB_MAX_DL = BRS.N_RB_MAX_DL;       r_m = [];          for l = 0:13                  % Generate Psuedo Random Sequence         ns = floor(1/7);         lp = mod(l,7);         C_init = 2^10 * (7*(ns + 1) + lp + 1) * (2 * NID_Cell + 1) + 2 * NID_Cell + 1;           r_m_l = [];         c_m_even = [];         c_m_odd = [];           PR.x2_init = C_init;           for m = 0 : (8*(N_RB_MAX_DL-18)-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));                  r_m = [r_m ; r_m_l];       end;          SequenceBrs.r_m = r_m;      end

 Filename : PlotSequence_Brs.m Last Update : Dec 24, 2016 function h=PlotSequence_Brs(BrsSequence,PlotOption)       plotData = BrsSequence.r_m;     if isfield(PlotOption,'NumOfDataToPlot') == 1        NumOfDataToPlot = PlotOption.NumOfDataToPlot;     end;          w = 10;          for l = 0:13         d_n=plotData(l+1,:);                  subplot(14,w,(l*w)+1);         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('s = ',num2str(l)));         set(gca,'fontsize',6);           subplot(14,w,[((l*w)+2) ((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   end

 Filename : Test_Generation_Brs.m Last Update : Dec 24, 2016 clear PlotOption = [];   BRS.NID_Cell = 0; BRS.N_RB_MAX_DL = 100;   BrsSequence = Generate_Brs(BRS);   %PlotOption.NumOfDataToPlot = 62; PlotSequence_Brs(BrsSequence,PlotOption);