stuff from 400G analysis (project deliv 01)

This commit is contained in:
Silas Oettinghaus
2025-03-10 12:48:10 +01:00
parent affdb4ad6f
commit 77ac44536d
15 changed files with 787 additions and 207 deletions

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@@ -26,7 +26,9 @@ classdef Duobinary
M = numel(u);
%make unipolar
if M == 4
if M == 2
data = data;
elseif M == 4
data = data .* sqrt(5);
elseif M == 6
data = data .* sqrt(10);
@@ -59,7 +61,9 @@ classdef Duobinary
bk = bk .* 2;
bk = bk + b;
if M == 4
if M == 2
bk = bk;
elseif M == 4
bk = bk ./ sqrt(5);
elseif M == 6
bk = bk ./ sqrt(10);
@@ -100,7 +104,9 @@ classdef Duobinary
end
%make unipolar
if options.M == 4
if options.M == 2
data = data;
elseif options.M == 4
data = data .* sqrt(5);
elseif options.M == 6
data = data .* sqrt(10);
@@ -140,7 +146,9 @@ classdef Duobinary
mean_power = sum((unique_points .^ 2) .* probabilities);
scaling_factor = sqrt(mean_power);
if options.M == 4
if options.M == 2
data = data ./ sqrt(0.5);
elseif options.M == 4
data = data ./ sqrt(2.5); % 7-level constellation weighted with probability after DB code i.e. mean([-3 3 -2 -2 2 2 -1 -1 -1 1 1 1 0 0 0 0].^2) = 2.5 --> sqrt(2.5) == rms(constellation)
elseif options.M == 6
data = data ./ sqrt(5.8);
@@ -186,7 +194,9 @@ classdef Duobinary
end
%make unipolar
if I == 7 || I == 6
if I == 3
data = data .* 0.5;
elseif I == 7 || I == 6
data = data .* sqrt(2.5);
elseif I == 11
data = data .* sqrt(5.8);
@@ -206,7 +216,9 @@ classdef Duobinary
data = data .* 2;
data = data - round(mean(data));
if M == 4
if M == 2
data = data;
elseif M == 4
data = data ./ sqrt(5);
elseif M == 6
data = data ./ sqrt(10);

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@@ -67,22 +67,29 @@ classdef Postfilter < handle
end
function showFilter(obj,noiseclass_in,options)
function showFilter(obj,options)
arguments
obj
noiseclass_in
options.noiseclass_in =[]
options.fignum = 121
options.color = []
end
% noiseclass_in.spectrum('displayname','Noise PSD shifted to 0dBm','fignum',options.fignum,'normalizeTo0dB',1);
if ~isempty(options.noiseclass_in)
len = length(options.noiseclass_in);
fs = options.noiseclass_in.fs;
else
len = 1024;
fs = 1;
end
figure(options.fignum)
[h,w] = freqz(1,obj.coefficients,length(noiseclass_in),"whole",noiseclass_in.fs);
[h,w] = freqz(1,obj.coefficients,len,"whole",fs);
h = h/max(abs(h));
hold on
w_ = (w - noiseclass_in.fs/2);
w_ = (w - fs/2);
if isempty(options.color)
plot(w_.*1e-9,20*log10(fftshift(abs(h))),'DisplayName',['Burg Coeffs: ', num2str(round(obj.coefficients,2)), ' '],'LineWidth',2);

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@@ -59,9 +59,20 @@ classdef TransmissionPerformance
1.03e-2, 9.29e-3, 8.33e-3, 7.54e-3, 7.04e-3, 4.70e-3];
%% LUT for KP4-FEC and Inner Code https://grouper.ieee.org/groups/802/3/dj/public/23_03/patra_3dj_01b_2303.pdf
CODE_RATE_KP4_AND_INNER = [0.885799];
BERTHRESHOLDS_KP4_AND_INNER = 4.85e-3;
% https://www.ieee802.org/3/bs/public/14_11/parthasarathy_3bs_01a_1114.pdf
CODE_RATE_KP4 = [1/(1+0.052)];%Reed-Solomon RS(544, 514) == KP4
BERTHRESHOLDS_KP4 = 2.2e-4;
CODE_RATE_HDFEC = [1/(1+0.067)]; %Beyond 300 Gbps Short-Reach Links Using TFLN MZMs With 500 mVpp and Linear Equalization
BERTHRESHOLDS_HDFEC = 3.8e-3;
CODE_RATE_O_FEC = [1/(1+0.15)]; %Stefano im Meeting
BERTHRESHOLDS_O_FEC = 2e-2;
end

70
Datatypes/clr.m Normal file
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@@ -0,0 +1,70 @@
classdef clr
properties (Constant)
% Set1 colormap
Set1 = struct( ...
'red', [0.8941, 0.1020, 0.1098], ...
'blue', [0.2157, 0.4941, 0.7216], ...
'green', [0.3020, 0.6863, 0.2902], ...
'purple', [0.5961, 0.3059, 0.6392], ...
'orange', [1.0000, 0.4980, 0.0000], ...
'yellow', [1.0000, 1.0000, 0.2000], ...
'brown', [0.6510, 0.3373, 0.1569], ...
'pink', [0.9686, 0.5059, 0.7490], ...
'gray', [0.6000, 0.6000, 0.6000]);
% Paired colormap
Paired = struct( ...
'lightblue', [0.6510, 0.8078, 0.8902], ...
'blue', [0.1216, 0.4706, 0.7059], ...
'lightgreen', [0.6980, 0.8745, 0.5412], ...
'green', [0.2000, 0.6275, 0.1725], ...
'lightred', [0.9843, 0.6039, 0.6000], ...
'red', [0.8902, 0.1020, 0.1098], ...
'lightorange',[0.9922, 0.7490, 0.4353], ...
'orange', [1.0000, 0.4980, 0.0000], ...
'lightpurple',[0.7922, 0.6980, 0.8392], ...
'purple', [0.4157, 0.2392, 0.6039], ...
'lightyellow',[1.0000, 1.0000, 0.6000], ...
'brown', [0.6941, 0.3490, 0.1569]);
end
methods (Static)
function showRGB(colorArray, names)
% Visualize colors in a horizontal bar chart
if nargin < 2
names = repmat({''}, size(colorArray, 1), 1);
end
figure;
hold on;
for i = 1:size(colorArray, 1)
fill([0 1 1 0], [i-1 i-1 i i], colorArray(i, :), 'EdgeColor', 'k');
text(1.1, i-0.5, names{i}, 'FontSize', 12, 'Interpreter', 'none');
end
ylim([0, size(colorArray, 1)]);
xlim([0, 1.5]);
axis off;
title('Color Preview');
hold off;
end
function showSet(colorStruct)
% Show colors from a structure in a bar plot
names = fieldnames(colorStruct);
colors = cell2mat(struct2cell(colorStruct)');
figure;
hold on;
for i = 1:size(colors, 1)
fill([0 1 1 0], [i-1 i-1 i i], colors(i, :), 'EdgeColor', 'k');
text(1.1, i-0.5, names{i}, 'FontSize', 12, 'Interpreter', 'none');
end
ylim([0, size(colors, 1)]);
xlim([0, 1.5]);
axis off;
title('Color Preview');
hold off;
end
end
end

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@@ -1,8 +1,8 @@
classdef pulseform < int32
enumeration
rc (1) %raised cosine (use this at Tx without matched filter)
rrc (2) %root raised cosine (usually with matched filter)
rc (2) %raised cosine (use this at Tx without matched filter)
rrc (1) %root raised cosine (usually with matched filter)
end
end

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@@ -9,7 +9,9 @@ function beautifyBERplot()
for i = 1:length(lines)
lines(i).LineWidth = 1.3; % Thicker line width
%lines(i).LineStyle = '-'; % Solid lines for simplicity
if string(lines(i).Marker) == "none"
lines(i).Marker = markers{mod(i-1, num_markers) + 1}; % Assign markers cyclically
end
lines(i).MarkerSize = 4; % Marker size
lines(i).MarkerFaceColor = 'auto'; % Use line color for marker face
end

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@@ -0,0 +1,22 @@
function showTransferFunction(coeffs,options)
arguments
coeffs
options.fignum = 765
options.DisplayName = ''
options.color = [1 1 0.1]
end
% Define the filter taps
[H, w] = freqz(coeffs, 1, 1024, 1);
figure(options.fignum);
hold on
plot(w, 10*log10(abs(H)), 'LineWidth', 2,'DisplayName',options.DisplayName,'Color',options.color); %todo
xlabel('Normalized Frequency');
ylabel('Amplitude in dB');
grid on;
ylim([-20,10])
end

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@@ -0,0 +1,68 @@
% basePath = 'C:\Users\Silas\Documents\MATLAB\Datensätze\sioe_labor\';
% db = DBHandler("pathToDB",[basePath,'silas_labor.db']);
if 0
uloops = struct;
uloops.precomp = [0];
uloops.db_precode = [0];
uloops.bitrate = [330,390,450].*1e9; %[300,330,360,390,420,450,480]
uloops.laser_wavelength = [1310];
uloops.M = [4];
uloops.link_length = [2]; % 1,2,3,5,6,8,10
%uloops.alpha = [0:0.1:1];
wh = DataStorage(uloops);
wh.addStorage("ber");
wh = submit_simulations(wh,"parallel",1,"simulation_mode",0);
end
col = cbrewer2('spectral',6);%
col=linspecer(5);
cnt = 1;
for br = uloops.bitrate
a = wh_burg.getStoValue('ber',uloops.precomp, uloops.db_precode, br , uloops.laser_wavelength, uloops.M, uloops.link_length);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
alpha = cellfun(@(x) x.vnle_pf_package{1,1}.pf.coefficients, a,'UniformOutput', false);
figure(23)
hold on
scatter(alpha{1}(2),ber_mlse,100,'MarkerEdgeColor',col(cnt,:),'Marker','x','LineWidth',2,'HandleVisibility','off');
cnt = cnt+1;
end
cnt = 1;
alpha = [];
for br = uloops.bitrate
a = wh_alphas.getStoValue('ber',uloops.precomp, uloops.db_precode, br , uloops.laser_wavelength, uloops.M, uloops.link_length, [0:0.1:1]);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
x_ax = [0:0.1:1];
figure(23)
hold on
% title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,uloops.M));
plot(x_ax,ber_mlse,'DisplayName',sprintf(' %d GBps PAM 4',br.*1e-9),'LineStyle','-','HandleVisibility','on','Color',col(cnt,:));
xticks(x_ax);
set(gca, 'YScale', 'log');
ylim([1e-5 0.4]);
xlim([min(x_ax), max(x_ax) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot();
xlabel('Channel $\alpha$');
ylabel('BER');
cnt = cnt+1;
end

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@@ -0,0 +1,57 @@
% basePath = 'C:\Users\Silas\Documents\MATLAB\Datensätze\sioe_labor\';
% db = DBHandler("pathToDB",[basePath,'silas_labor.db']);
if 0
uloops = struct;
uloops.precomp = [0];
uloops.db_precode = [0];
uloops.bitrate = [390].*1e9; %[300,330,360,390,420,450,480]
uloops.laser_wavelength = [1310];
uloops.M = [4];
uloops.link_length = [2]; % 1,2,3,5,6,8,10
uloops.vnle_order1 = [5,10:10:100];
uloops.vnle_order2 = [0];
uloops.vnle_order3 = [0];
wh = DataStorage(uloops);
wh.addStorage("ber");
wh = submit_simulations(wh,"parallel",1,"simulation_mode",0);
end
col = cbrewer2('spectral',6);%
col=linspecer(5);
cnt = 1;
for n3 = uloops.vnle_order3
a = wh.getStoValue('ber',uloops.precomp, uloops.db_precode, uloops.bitrate , uloops.laser_wavelength, uloops.M, uloops.link_length,...
uloops.vnle_order1,...
uloops.vnle_order2,...
n3);
ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
ber_db = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
log_bers = log10(ber_vnle + 1e-12);
figure(20)
hold on
title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,uloops.M));
% plot(uloops.vnle_order1,ber_vnle,'DisplayName',sprintf('Tx precomp. + VNLE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt,:));
plot(uloops.vnle_order1,ber_mlse,'DisplayName',sprintf('VNLE + Postfilter + ;MLSE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt,:));
plot(uloops.vnle_order1,ber_db,'DisplayName',sprintf('DB tgt. VNLE + MLSE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt+2,:));
xticks(uloops.vnle_order1([1:1:end]));
set(gca, 'YScale', 'log');
ylim([5e-5 0.4]);
xlim([min(uloops.vnle_order1), max(uloops.vnle_order1) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot();
xlabel('Number of 1st order coeff.');
ylabel('BER');
cnt = cnt+1;
end

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@@ -0,0 +1,50 @@
if 0
uloops = struct;
uloops.precomp = [0];
uloops.db_precode = [0,1];
uloops.bitrate = [420].*1e9; %[300,330,360,390,420,450,480]
% uloops.laser_wavelength = [1293,1297.5,1302,1306.5,1310,1313.4,1318,1322.7,1327.4];
uloops.laser_wavelength = [1293, 1302,1310,1318,1327.4];
uloops.M = [4,6,8];
uloops.link_length = [5]; % 1,2,3,5,6,8,10
wh = DataStorage(uloops);
wh.addStorage("ber");
wh = submit_simulations(wh,"parallel",1,"simulation_mode",0);
end
col = cbrewer2('Set2',6);%
col=linspecer(5);
cnt = 1;
m = 8;
% a = wh.getStoValue('ber',1, 0, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
% ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
a = wh.getStoValue('ber',0, 0, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
a = wh.getStoValue('ber',0, 1, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
ber_db = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
x_ax = uloops.laser_wavelength;
figure(21)
hold on
% title(sprintf('%d km | %d GBd | PAM %d',uloops.link_length,uloops.bitrate/log2(m).*1e-9,m));
% plot(x_ax,ber_vnle,'DisplayName',sprintf('Tx precomp. + VNLE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt+1,:));
plot(x_ax,ber_mlse,'DisplayName',sprintf('VNLE + Postfilter + MLSE'),'LineStyle','-','HandleVisibility','on','Color',colorsets.DeepRed.RGB);
% plot(x_ax,ber_db,'DisplayName',sprintf('DB tgt. VNLE + MLSE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt,:));
xticks(x_ax([1:1:end]));
set(gca, 'YScale', 'log');
ylim([5e-5 0.4]);
xlim([min(x_ax)-3, max(x_ax)+3 ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot();
xlabel('Number of 1st order coeff.');
ylabel('BER');
cnt = cnt+1;

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@@ -0,0 +1,70 @@
% basePath = 'C:\Users\Silas\Documents\MATLAB\Datensätze\sioe_labor\';
% db = DBHandler("pathToDB",[basePath,'silas_labor.db']);
if 0
uloops = struct;
uloops.precomp = [0];
uloops.db_precode = [0];
uloops.bitrate = [300,330,360,390,420,450,480].*1e9; %[300,330,360,390,420,450,480]
uloops.laser_wavelength = [1310];
uloops.M = [4];
uloops.link_length = [2]; % 1,2,3,5,6,8,10
uloops.vnle_order1 = [50];
uloops.vnle_order2 = [7];
uloops.vnle_order3 = [7];
uloops.pf_ncoeffs = [1,2,3];
wh = DataStorage(uloops);
wh.addStorage("ber");
wh = submit_simulations(wh,"parallel",1,"simulation_mode",0);
end
col = cbrewer2('spectral',6);%
col=linspecer(5);
cnt = 1;
alpha = [];
for n = uloops.pf_ncoeffs
a = wh.getStoValue('ber',uloops.precomp, uloops.db_precode, uloops.bitrate , uloops.laser_wavelength, uloops.M, uloops.link_length,...
uloops.vnle_order1,...
uloops.vnle_order2,...
uloops.vnle_order3,...
n);
ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
% PF = cellfun(@(x) x.vnle_pf_package{1,1}.pf.coefficients, a,'UniformOutput',false);
%
% showTransferFunction(PF{3}.coefficients,"fignum",12,"color",clr.Set1.red,"DisplayName",['360 GBd']);
%
% showTransferFunction(PF{4}.coefficients,"fignum",12,"color",clr.Set1.blue,"DisplayName",['390 GBd']);
%
% showTransferFunction(PF{5}.coefficients,"fignum",12,'color',clr.Set1.green,"DisplayName",['420 GBd']);
% ber_db = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
x_ax = uloops.bitrate.*1e-9;
figure(23)
hold on
title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,uloops.M));
if n==1
plot(x_ax,ber_vnle,'DisplayName',sprintf('Tx precomp. + VNLE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt+4,:));
end
plot(x_ax,ber_mlse,'DisplayName',sprintf('VNLE + Postfilter + ;MLSE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt,:));
% plot(x_ax,ber_db,'DisplayName',sprintf('DB tgt. VNLE + MLSE'),'LineStyle','-','HandleVisibility','on','Color',col(cnt+2,:));
xticks(x_ax([1:1:end]));
set(gca, 'YScale', 'log');
ylim([1e-5 0.4]);
xlim([min(x_ax(2:end)), max(x_ax) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot();
xlabel('Gross Bitrate in Gbps');
ylabel('BER');
cnt = cnt+1;
end

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@@ -1,20 +1,14 @@
% basePath = 'C:\Users\Silas\Documents\MATLAB\Datensätze\sioe_labor\';
% db = DBHandler("pathToDB",[basePath,'silas_labor.db']);
if 1
if 0
uloops = struct;
uloops.precomp = [0];
uloops.db_precode = [0];
uloops.bitrate = [330].*1e9; %[300,330,360,390,420,450,480]
uloops.precomp = [1];
uloops.db_precode = [0];
uloops.bitrate = [300,330,360,390,420,450,480].*1e9; %[300,330,360,390,420,450,480]
% uloops.bitrate = 390e9;
% uloops.laser_wavelength = [1293,1297.5,1302,1306.5,1310,1313.4,1318,1322.7,1327.4];
uloops.laser_wavelength = [1293];
uloops.M = [4];
uloops.laser_wavelength = [1310];
uloops.M = [6];
uloops.M = [4,6,8];
uloops.link_length = [2]; % 1,2,3,5,6,8,10
wh = DataStorage(uloops);
wh.addStorage("ber");
@@ -22,129 +16,293 @@ if 1
wh = submit_simulations(wh,"parallel",0,"simulation_mode",0);
end
wh_ana = wh;
wh_ana = wh_master;
ber_mlse = {};
ber_vnle = {};
inf_rate_vnle ={};
cols = cbrewer2('Paired',8);
ber_dbtgt ={};
ber_dbenc ={};
alpha = {};
ber_dfe = {};
ngmi = [];
figure()
for precomp = [0,1]
wavelength=uloops.laser_wavelength;
for m = [4,6,8]
%1302
for m = [6]
baudrate = wh_ana.parameter.bitrate.values;
%VNLE
precomp = 1;
precode = 0;
a = wh_ana.getStoValue('ber',precomp, precode, uloops.bitrate , wavelength, m, uloops.link_length);
ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
precode = 1;
a = wh_ana.getStoValue('ber',precomp, precode, baudrate , wavelength, m, uloops.link_length);
ber_vnle_pc = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
%MLSE
% precomp = 0;
% precode = 1;
a = wh_ana.getStoValue('ber',precomp, precode, uloops.bitrate , wavelength, m, uloops.link_length);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
ber_mlse_pc = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
%DB
ber_dbtgt_pc = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
precode = 0;
a = wh_ana.getStoValue('ber',precomp, precode, baudrate , wavelength, m, uloops.link_length);
ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
%MLSE
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
%DB
% precomp = 0;
% precode = 1;
a = wh_ana.getStoValue('ber',precomp, precode, uloops.bitrate , wavelength, m, uloops.link_length);
ber_dbtgt = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
figure(m+20)
if precomp
legndname1 = ['Pre-Emphasis'];
else
legndname1 = ['No Pre-Emphasis'];
end
baudrate = floor( uloops.bitrate.*1e-9 ./log2(m) ) .* 2.5 .* 1e9;
subplot(1,3,1)
hold on
title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,m));
plot(uloops.bitrate,ber_vnle,'DisplayName',sprintf('VNLE'),'Color',cols(3,:),'LineStyle','-','HandleVisibility','on');
plot(uloops.bitrate,ber_dbtgt,'DisplayName',sprintf('DB tgt. + MLSE',uloops.link_length,uloops.M),'Color',cols(1,:),'LineStyle','-','HandleVisibility','on');
plot(uloops.bitrate,ber_mlse,'DisplayName',sprintf('VNLE + 1 tap post-filter + MLSE',uloops.link_length,uloops.M),'Color',cols(4,:),'LineStyle','-','HandleVisibility','on');
title(sprintf('PAM %d',m));
plot(baudrate.*1e-9,ber_vnle,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 0'],'Color',cols(1+precomp,:),'LineStyle','-','HandleVisibility','on');
plot(baudrate.*1e-9,ber_vnle_pc,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 1'],'Color',cols(1+precomp,:),'LineStyle','-.','HandleVisibility','on');
xticks(baudrate.*1e-9);
set(gca, 'YScale', 'log');
ylim([5e-5 0.3]);
% xlim([min(uloops.bitrate.*1e-9), max(uloops.bitrate.*1e-9) ]);
ylim([5e-5 0.4]);
xlim([min(baudrate(2).*1e-9), max(baudrate.*1e-9) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot()
xlabel('Bit Rate in Gbps');
ylabel('BER');
subplot(1,3,2)
hold on
% title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,m));
title(sprintf('PAM %d',m));
plot(baudrate.*1e-9,ber_dbtgt,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 0'],'Color',cols(5+precomp,:),'LineStyle','-','HandleVisibility','on');
plot(baudrate.*1e-9,ber_dbtgt_pc,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 1'],'Color',cols(5+precomp,:),'LineStyle','-.','HandleVisibility','on');
xticks(baudrate.*1e-9);
set(gca, 'YScale', 'log');
ylim([5e-5 0.4]);
xlim([min(baudrate(2).*1e-9), max(baudrate.*1e-9) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot()
xlabel('Bit Rate in Gbps');
ylabel('BER');
subplot(1,3,3)
hold on
% title(sprintf('%d km | %d nm | PAM %d',uloops.link_length,wavelength,m));
title(sprintf('PAM %d',m));
plot(baudrate.*1e-9,ber_mlse,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 0'],'Color',cols(3+precomp,:),'LineStyle','-','HandleVisibility','on');
plot(baudrate.*1e-9,ber_mlse_pc,'DisplayName',['Pre-Emphasis: ', num2str(precomp), '| Diff.-Code: 1'],'Color',cols(3+precomp,:),'LineStyle','-.','HandleVisibility','on');
xticks(baudrate.*1e-9);
set(gca, 'YScale', 'log');
ylim([5e-5 0.4]);
xlim([min(baudrate(2).*1e-9), max(baudrate.*1e-9) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot()
xlabel('Bit Rate in Gbps');
ylabel('BER');
end
cols = linspecer(7);%cbrewer2('Set2',10);
for w = uloops.laser_wavelength
figure(w)
figcnt = 0;
for precode = uloops.db_precode
for precomp = uloops.precomp
for m = uloops.M
a = wh_ana.getStoValue('ber',precomp, precode, uloops.bitrate , w, m, uloops.link_length);
ber_dbtgt = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
figcnt = figcnt+1;
subplot(4,3,figcnt);
hold on
title(sprintf('precomp = %d | precode = %d | %d km | %d nm | PAM %d',precomp,precode,uloops.link_length,w,m));
plot(uloops.bitrate,ber_dbtgt,'DisplayName',sprintf('DB tgt. + MLSE',uloops.link_length,uloops.M),'Color',cols(1,:),'LineStyle','-','HandleVisibility','on');
plot(uloops.bitrate,ber_vnle,'DisplayName',sprintf('VNLE'),'Color',cols(3,:),'LineStyle','-','HandleVisibility','on');
plot(uloops.bitrate,ber_mlse,'DisplayName',sprintf('VNLE + 1 tap post-filter + MLSE',uloops.link_length,uloops.M),'Color',cols(4,:),'LineStyle','-','HandleVisibility','on');
% plot(uloops.bitrate,cellfun(@min, ber_dfe),'DisplayName',sprintf('VNLE + DFE',uloops.link_length,uloops.M),'Color',cols(2,:),'LineStyle','--');
% plot(uloops.bitrate,cellfun(@min, ber_dbenc),'DisplayName',sprintf('DB Encoded',uloops.link_length,uloops.M),'Color',cols(5,:),'LineStyle','-');
set(gca, 'YScale', 'log');
ylim([5e-5 0.5]);
% xlim([min(uloops.bitrate.*1e-9), max(uloops.bitrate.*1e-9) ]);
yline([3.8e-3, 2e-2],'HandleVisibility','off');
legend
beautifyBERplot()
xlabel('Bit Rate in Gbps');
ylabel('Channel Wavelength (nm)');
end
end
end
end
%
%
% cols = linspecer(7);%cbrewer2('Set2',10);
%
%
% for w = uloops.laser_wavelength
%
% figure(w)
% figcnt = 0;
%
% for precode = uloops.db_precode
%
% for precomp = uloops.precomp
%
% for m = uloops.M
%
% a = wh_ana.getStoValue('ber',precomp, precode, uloops.bitrate , w, m, uloops.link_length);
% ber_dbtgt = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
%
% ber_vnle = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
%
% ber_mlse = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
%
% figcnt = figcnt+1;
% subplot(4,3,figcnt);
% hold on
% title(sprintf('precomp = %d | precode = %d | %d km | %d nm | PAM %d',precomp,precode,uloops.link_length,w,m));
%
% plot(uloops.bitrate,ber_dbtgt,'DisplayName',sprintf('DB tgt. + MLSE',uloops.link_length,uloops.M),'Color',cols(1,:),'LineStyle','-','HandleVisibility','on');
%
% plot(uloops.bitrate,ber_vnle,'DisplayName',sprintf('VNLE'),'Color',cols(3,:),'LineStyle','-','HandleVisibility','on');
%
% plot(uloops.bitrate,ber_mlse,'DisplayName',sprintf('VNLE + 1 tap post-filter + MLSE',uloops.link_length,uloops.M),'Color',cols(4,:),'LineStyle','-','HandleVisibility','on');
%
% % plot(uloops.bitrate,cellfun(@min, ber_dfe),'DisplayName',sprintf('VNLE + DFE',uloops.link_length,uloops.M),'Color',cols(2,:),'LineStyle','--');
%
% % plot(uloops.bitrate,cellfun(@min, ber_dbenc),'DisplayName',sprintf('DB Encoded',uloops.link_length,uloops.M),'Color',cols(5,:),'LineStyle','-');
%
% set(gca, 'YScale', 'log');
% ylim([5e-5 0.5]);
% % xlim([min(uloops.bitrate.*1e-9), max(uloops.bitrate.*1e-9) ]);
% yline([3.8e-3, 2e-2],'HandleVisibility','off');
% legend
% beautifyBERplot()
% xlabel('Bit Rate in Gbps');
% ylabel('Channel Wavelength (nm)');
%
% end
% end
% end
% end
m = 6;
ir = [2,2.5,3];
cols = linspecer(6);
baudrate_gather = [];
for i = 1:3
m = uloops.M(i);
%%% GET VNLE VALS
precode = 0;
precomp = 1;
a = wh_master.getStoValue('ber',precomp, precode, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
ber_vnle(i,:) = cellfun(@(x) x.vnle_pf_package{1,1}.ber_vnle, a);
%%% GET DB VALS
precode = 1;
precomp = 0;
a = wh_master.getStoValue('ber',precomp, precode, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
ber_db(i,:) = cellfun(@(x) x.dbtgt_package{1,1}.ber, a);
%%% GET MLSE VALS
precode = 0;
precomp = 0;
a = wh_master.getStoValue('ber',precomp, precode, uloops.bitrate , uloops.laser_wavelength, m, uloops.link_length);
ber_mlse(i,:) = cellfun(@(x) x.vnle_pf_package{1,1}.ber_mlse, a);
inf_rate_pam(i,:) = cellfun(@(x) x.vnle_pf_package{1,1}.air, a);
inf_rate_pam(i,:) = inf_rate_pam(i,:)./log2(m);
bitrate = floor( uloops.bitrate.*1e-9 ./log2(m) ) .* ir(i) .* 1e9;
baudrate = floor( uloops.bitrate.*1e-9 ./log2(m) ) .* 1e9;
baudrate_gather = union(baudrate_gather,baudrate);
baudrate_ticks = 100:20:240;
bitrate_ticks = 300:30:480;
tp = TransmissionPerformance;
netRatesVNLE = tp.calculateNetRate(uloops.bitrate, 'NGMI', cellfun(@min, inf_rate_vnle)./log2(uloops.M), 'BER', cellfun(@min, ber_vnle));
netRatesVNLE = tp.calculateNetRate(bitrate, 'NGMI', inf_rate_pam(i,:), 'BER', ber_vnle(i,:));
pam8= [2.9515 2.9284 2.9203 2.9311 2.8473 2.7740 2.6253];
pam6 = [2.5280 2.5452 2.5579 2.5549 2.5272 2.4243 2.2617];
pam4 = [ 1.9982 1.9972 1.9690 1.7909 1.2493 0.8014 0.6385];
figure(6)
%%% NGMI
figure(12)
hold on
title(sprintf('Performance at 1310 for all lengths'));
% plot(uloops.bitrate.*1e-9,cellfun(@min, inf_rate_vnle),'DisplayName',sprintf('NGMI VNLE; %d km',uloops.link_length),'Color',cols(3,:),'LineStyle',':');
plot(uloops.bitrate.*1e-9,pam4/2,'DisplayName',sprintf('GMI VNLE; PAM 4'),'Color',cols(1,:),'LineStyle',':');
plot(uloops.bitrate.*1e-9,pam6/log2(6),'DisplayName',sprintf('GMI VNLE; PAM 6'),'Color',cols(2,:),'LineStyle',':');
plot(uloops.bitrate.*1e-9,pam8/3,'DisplayName',sprintf('GMI VNLE; PAM 8'),'Color',cols(3,:),'LineStyle',':');
xlabel('Gross Bitrate in Gbps');
title(sprintf('Performance at 1310 nm'));
plot(baudrate.*1e-9,inf_rate_pam(i,:),'DisplayName',sprintf('NGMI; PAM %d',m),'Color',cols(i,:),'LineStyle','-');
xlabel('Baud rate in GBd');
ylabel('NGMI')
beautifyBERplot()
ylim([0,1]);
xticks(baudrate_ticks);
xlim([min(baudrate_ticks) max(baudrate_ticks)]);
%%% AIR
figure(14)
hold on
title(sprintf('Performance at 1310 nm'));
plot(baudrate.*1e-9,inf_rate_pam(i,:).*bitrate.*1e-9,'DisplayName',sprintf('AIR; PAM %d',m),'Color',cols(i,:),'LineStyle','-');
xlabel('Baud rate in GBd');
ylabel('AIR');
beautifyBERplot()
xticks(baudrate_ticks);
xlim([min(baudrate_ticks) max(baudrate_ticks)]);
%%% RATES
figure(16)
hold on
title(sprintf('Performance at 1310 nm'));
if i == 1
hv = 'on';
else
hv = 'off';
end
plot(baudrate*1e-9,netRatesVNLE.SDHD.NetRate.*1e-9,'DisplayName',sprintf('SD+HD FEC',m),'Color',cols(i,:),'LineStyle','-','HandleVisibility',hv,'Marker','o');
plot(baudrate.*1e-9,netRatesVNLE.HD.NetRate.*1e-9,'DisplayName',sprintf('HD FEC',m),'Color',cols(i,:),'LineStyle',':','HandleVisibility',hv,'Marker','diamond');
plot(baudrate.*1e-9,netRatesVNLE.KP4_hamming.NetRate*1e-9,'DisplayName',sprintf('KP4+Hamming',m),'Color',cols(i,:),'LineStyle','-.','HandleVisibility',hv,'Marker','square');
xticks(baudrate_ticks);
xlim([min(baudrate_ticks) max(baudrate_ticks)]);
xlabel('Baud rate in GBd');
ylabel('Net Bitrate in Gbps')
beautifyBERplot()
ylim([250 410])
%%% CODE OVERHEAD IN %
figure(18)
hold on
title(sprintf('Performance at 1310 nm'));
plot(baudrate*1e-9,100.*(1-netRatesVNLE.SDHD.CodeRate)./netRatesVNLE.SDHD.CodeRate,'DisplayName',sprintf('SD+HD FEC',m),'Color',cols(i,:),'LineStyle','-','HandleVisibility',hv,'Marker','o');
plot(baudrate.*1e-9,100.*(1-netRatesVNLE.HD.CodeRate)./netRatesVNLE.HD.CodeRate,'DisplayName',sprintf('HD FEC',m),'Color',cols(i,:),'LineStyle',':','HandleVisibility',hv,'Marker','diamond');
plot(baudrate.*1e-9,100.*(1-netRatesVNLE.KP4_hamming.CodeRate)./netRatesVNLE.KP4_hamming.CodeRate,'DisplayName',sprintf('KP4+Hamming',m),'Color',cols(i,:),'LineStyle','-.','HandleVisibility',hv,'Marker','square');
xticks(baudrate_ticks);
xlim([min(baudrate_ticks) max(baudrate_ticks)]);
xlabel('Baud rate in GBd');
ylabel('FEC Overhead in %')
beautifyBERplot()
%%% CLASSIC BER
figure(22)
subplot(1,4,i)
hold on
plot(baudrate*1e-9,ber_vnle(i,:),'DisplayName',sprintf('Tx precomp + VNLE',m),'Color',cols(i,:),'LineStyle','-','HandleVisibility','on','Marker','o');
plot(baudrate*1e-9,ber_mlse(i,:),'DisplayName',sprintf('VNLE + PF + MLSE',m),'Color',cols(i,:),'LineStyle',':','HandleVisibility','on','Marker','square');
plot(baudrate*1e-9,ber_db(i,:),'DisplayName',sprintf('Diff. Code + DB tgt.',m),'Color',cols(i,:),'LineStyle','--','HandleVisibility','on','Marker','diamond');
yline(4.85e-3,'HandleVisibility','off');
yline(2e-2,'HandleVisibility','off');
xticks(baudrate*1e-9);
xlim([min(baudrate*1e-9) max(baudrate*1e-9)]);
ylim([1e-4 0.3]);
xlabel('Baudrate in GBd');
if i == 1
ylabel('BER')
end
beautifyBERplot()
set(gca, 'YScale', 'log');
legend
subplot(1,4,4)
hold on
if m == 4
plot(bitrate*1e-9,ber_db(i,:),'DisplayName',sprintf('Diff. Code + DB tgt.'),'Color',cols(i,:),'LineStyle','--','HandleVisibility','on','Marker','diamond');
elseif m == 6
plot(bitrate*1e-9,ber_vnle(i,:),'DisplayName',sprintf('VNLE + PF + MLSE'),'Color',cols(i,:),'LineStyle','-','HandleVisibility','on','Marker','o');
% plot(bitrate*1e-9,ber_mlse(i,:),'DisplayName',sprintf('MLSE',m),'Color',cols(i,:),'LineStyle',':','HandleVisibility',hv,'Marker','square');
elseif m ==8
plot(bitrate*1e-9,ber_vnle(i,:),'DisplayName',sprintf('Tx precomp + VNLE'),'Color',cols(i,:),'LineStyle','-','HandleVisibility','on','Marker','o');
% plot(bitrate*1e-9,ber_mlse(i,:),'DisplayName',sprintf('MLSE',m),'Color',cols(i,:),'LineStyle',':','HandleVisibility',hv,'Marker','square');
end
yline(4.85e-3,'HandleVisibility','off');
yline(2e-2,'HandleVisibility','off');
xticks(bitrate_ticks);
xlim([min(bitrate_ticks) max(bitrate_ticks)]);
ylim([1e-4 0.3]);
xlabel('Gross Bitrate in Gbps');
% ylabel('BER')
beautifyBERplot()
set(gca, 'YScale', 'log');
end
figure()
title(sprintf('%d km | 1310 nm | PAM %d | VNLE',uloops.link_length,uloops.M));

View File

@@ -45,6 +45,7 @@ vnle_order3 = 7;
vnle_order=[vnle_order1,vnle_order2,vnle_order3];
dfe_order = [0 0 0];
pf_ncoeffs = 1;
alpha = 0;
@@ -54,6 +55,7 @@ mu_ffe1 = 0.0001;
mu_ffe2 = 0.0008;
mu_ffe3 = 0.001;
mu_dc = 0.005;
% mu_dc = 0;
mu_ffe = [mu_ffe1 mu_ffe3 mu_ffe3];
mu_dfe = 0.0004;
@@ -132,7 +134,7 @@ f_nyquist = fsym/2;
%%% run the simulation or measurement or ...
if simulation_mode
Pform = Pulseformer("fsym",fsym,"fdac",4*fsym,"pulse","rrc","pulselength",16,"rrcalpha",rcalpha);
Pform = Pulseformer("fsym",fsym,"fdac",4*fsym,"pulse","rc","pulselength",16,"alpha",rcalpha);
[Digi_sig,Symbols,Tx_bits] = PAMsource(...
"fsym",fsym,"M",M,"order",16,"useprbs",0,...
@@ -240,9 +242,9 @@ else
%
% Raw_signal = Filter('filtdegree',4,"f_cutoff",Symbols.fs.*0.55,"fs",Raw_signal.fs,"filterType",filtertypes.gaussian,"active",true).process(Raw_signal);
%
Scpe_cell{1}.eye(fsym,M,"displayname",'eye','fignum',227);
% Scpe_cell{1}.eye(fsym,M,"displayname",'eye','fignum',227);
%
% Raw_signal.spectrum("normalizeTo0dB",0,"fignum",336,"fft_length",2^12);
% Raw_signal.spectrum("normalizeTo0dB",0,"fignum",11,"fft_length",2^12);
% Raw_signal.move_it_spectrum("fignum",334);
% Raw_signal.move_it_spectrum("fignum",334);
@@ -283,15 +285,15 @@ for occ = 1:proc_occ
% eq_mlse = FFE_DCremoval("epochs_tr",5,"epochs_dd",5,"len_tr",len_tr,"mu_dd",mu_ffe(1),"mu_tr",0,"order",ffe_order(1),"sps",2,"decide",0,"dc_buffer_len",512,"mu_dc",0.05);
mu_ffe = [mu_ffe1 mu_ffe2 mu_ffe3];
vnle_order=[vnle_order1,vnle_order2,vnle_order3];
% %%%%% VNLE + DFE %%%%
if 1
eq_vnle_dfe = EQ("Ne",vnle_order,"Nb",[0,0,0],"training_length",len_tr,"training_loops",5,"dd_loops",5,"K",2,"DCmu",mu_dc,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",1,"ideal_dfe",0);
if 0
eq_vnle_dfe = EQ("Ne",vnle_order,"Nb",[0,0,0],"training_length",len_tr,"training_loops",5,"dd_loops",5,"K",2,"DCmu",mu_dc,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",0);
[result] = vnle(eq_vnle_dfe,M,Scpe_sig,Symbols,Tx_bits,"precode_mode",doub_mode,"showAnalysis",1);
[result] = vnle(eq_vnle_dfe,M,Scpe_sig,Symbols,Tx_bits,"precode_mode",doub_mode,"showAnalysis",0);
vnle_dfe_package{occ} = result;
end
%%%%% VNLE + PF + MLSE %%%%
if 1
@@ -299,7 +301,7 @@ for occ = 1:proc_occ
% len_tr = length(Symbols)-1000;
eq_vnle_ = EQ("Ne",vnle_order,"Nb",dfe_order,"training_length",len_tr,"training_loops",5,"dd_loops",5,"K",2,"DCmu",mu_dc,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
% eq_vnle_ = VNLE("epochs_tr",5,"epochs_dd",5,"len_tr",4096*2,"mu_dd",[0.0004 0.0005 0.0006],"mu_tr",0,"order",vnle_order,"sps",2,"decide",0);
pf_ = Postfilter("ncoeff",1,"useBurg",1);
pf_ = Postfilter("ncoeff",pf_ncoeffs,"useBurg",1);
mlse_ = MLSE_viterbi("duobinary_output",0,'M',M,'trellis_states',PAMmapper(M,0).levels);
[result] = vnle_postfilter_mlse(eq_vnle_,pf_,mlse_,M,Scpe_sig,Symbols,Tx_bits,"precode_mode",doub_mode,'showAnalysis',1);
@@ -309,12 +311,12 @@ for occ = 1:proc_occ
%%%%% Duobinary Targeting %%%%
if 1
if 0
mlse_db = MLSE_viterbi("DIR",[1,1],"duobinary_output",0,"M",M,"trellis_states",PAMmapper(M,0).levels);
eq_db = EQ("Ne",vnle_order,"Nb",dfe_order,"training_length",len_tr,"training_loops",5,"dd_loops",5,"K",2,"DCmu",mu_dc,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
[result] = duobinary_target(eq_db, mlse_db, M, Scpe_sig, Symbols, Tx_bits, "precode_mode", doub_mode,'showAnalysis',1);
[result] = duobinary_target(eq_db, mlse_db, M, Scpe_sig, Symbols, Tx_bits, "precode_mode", doub_mode,'showAnalysis',0);
dbtgt_package{occ} = result;

View File

@@ -1,7 +1,7 @@
precomp_path = "C:\Users\Silas\Documents\MATLAB\imdd_simulation\projects\standard_system";
precomp_filename = "lab_mpi_setup_2";
precomp_path = "C:\Users\Silas\Documents\MATLAB\Datensätze\sioe_labor\precomp";
precomp_filename = "lab_high_speed";
freqresp = ChannelFreqResp("Nacq",1024,"Navg",64,"Ncp",63,'f_ref',92e9);
freqresp.load('loadPath',precomp_path,'fileName',precomp_filename);

View File

@@ -1,11 +1,11 @@
useprbs = 1;
M = 6;
M = 2;
randkey = 1;
datarate = 448e9;
fsym = round(datarate / log2(M)) ;
%%%%% PRBS Generation in correct shape for Modulation Format %%%%%%
O = 15; %O of prbs
O = 16; %O of prbs
N = 2^(O); %length of prbs
[~,seed] = prbs(O,1); %initialize first seed of prbs
bitpattern=[];
@@ -47,28 +47,79 @@ Tx_bits = Informationsignal(bitpattern);
%%%%% Duobinary %%%%%%
precode = 1;
db_encode = 0;
close all
Symbols_tx = PAMmapper(M,0).map(Tx_bits);
Symbols_tx.fs = fsym;
Symbols1 = Duobinary().precode(Symbols_tx);
figure;histogram(Symbols1.signal);
%%% precode
if precode
Symbols0 = Duobinary().precode(Symbols_tx);
else
Symbols0 = Symbols_tx;
end
Symbols2 = Duobinary().encode(Symbols1);
figure;histogram(Symbols2.signal);
figure;histogram(Symbols0.signal);
for n = 0:200
if db_encode
Symbols1 = Duobinary().encode(Symbols0);
else
Symbols1 = Symbols0;
end
Symbols2 = Symbols1;
pos = 1;
if n~=0
for pos = 1:n
po = randi(100);
a = Symbols2.signal(100+pos) == Symbols1.signal(100+po);
while a == 1
po = po+1;
po = randi(100);
a = Symbols2.signal(100+pos) == Symbols1.signal(100+po);
end
Symbols2.signal(100+pos) = Symbols1.signal(100+po);
end
end
% disp(Symbols2.signal(100:100+pos)==Symbols1.signal(100:100+pos))
%%% encode
if db_encode
% figure;histogram(Symbols2.signal);
Symbols3 = Duobinary().decode(Symbols2);
figure;histogram(Symbols3.signal);
autoArrangeFigures;
% figure;histogram(Symbols3.signal);
% autoArrangeFigures;
elseif precode
Symbols3 = Duobinary().encode(Symbols2);
Symbols3 = Duobinary().decode(Symbols3);
% figure;histogram(Symbols3.signal);
else
Symbols3 = Symbols2;
end
Rx_bits = PAMmapper(M,0).demap(Symbols3);
%%%%% Check BER of Bit Sequence %%%%%%
[~,error_num,ber,error_pos] = calc_ber(Tx_bits.signal,Rx_bits.signal,"skip_front",0,"skip_end",0,"returnErrorLocation",1);
[~,error_num(n+1),ber,error_pos] = calc_ber(Tx_bits.signal,Rx_bits.signal,"skip_front",10,"skip_end",10,"returnErrorLocation",1);
disp(['BER: ',sprintf('%.1E',ber),' - - PAM-',num2str(M)]);
%
% disp(['BER: ',sprintf('%.1E',ber),sprintf(' - Num. Err: %.1d',error_num(n+1)-2),' - - PAM-',num2str(M)]);
fprintf('n: %d - Num. Err: %.1d \n',n,error_num(n+1));
end
figure()
hold on
scatter(1:length(Symbols3),Symbols3.signal,1,'.');
scatter(error_pos,Symbols3.signal(error_pos),14,'o');
figure(3);