diff --git a/Functions/Theory/NGMI/calculate_gmi_example.m b/Functions/Theory/NGMI/calculate_gmi_example.m
new file mode 100644
index 0000000..bcd4d8f
--- /dev/null
+++ b/Functions/Theory/NGMI/calculate_gmi_example.m
@@ -0,0 +1,49 @@
+% Parameters
+symbols = [0, 1, 2, 3];                  % PAM-4 symbols
+P_X = [0.25, 0.25, 0.25, 0.25];         % Uniform probabilities
+sigma2 = 0.1;                           % Noise variance
+received_samples = [0.2, 1.1, 1.9, 2.8];% Received symbols (example)
+gray_bits = [0 0; 0 1; 1 1; 1 0];       % Gray coding (bits per symbol)
+m = size(gray_bits, 2);                 % Bits per symbol
+N = length(received_samples);           % Number of received samples
+
+% Conditional probability function for AWGN
+q_Y_given_X = @(y, x) (1 / sqrt(2 * pi * sigma2)) * exp(-(y - x).^2 / (2 * sigma2));
+
+% Entropy term
+H_X = -sum(P_X .* log2(P_X)); % Entropy of input distribution
+
+% GMI computation
+noise_impact_term = 0;
+for k = 1:N
+    y_k = received_samples(k); % Current received sample
+    [~, closest_symbol_idx] = min(abs(symbols - y_k)); % Closest symbol index
+    closest_symbol = symbols(closest_symbol_idx);     % Closest symbol
+    
+    for i = 1:m
+        % Extract i-th bit for each symbol
+        bit_mask = gray_bits(:, i); % Binary column for i-th bit of all symbols
+        matching_symbols = symbols(bit_mask == gray_bits(closest_symbol_idx, i));
+
+        % Numerator: Sum over x in x_{b_{k, i}}
+        numerator = sum(q_Y_given_X(y_k, matching_symbols) .* P_X(ismember(symbols, matching_symbols)));
+
+        % Denominator: Sum over all x
+        denominator = sum(q_Y_given_X(y_k, symbols) .* P_X);
+
+        % Logarithmic contribution
+        noise_impact_term = noise_impact_term + log2(numerator / denominator);
+    end
+end
+
+% Normalize the noise impact term by N
+noise_impact_term = noise_impact_term / N;
+
+% GMI
+GMI = H_X + noise_impact_term;
+NGMI = GMI / m;
+
+
+% Display the result
+fprintf('GMI: %.4f bits\n', GMI);
+fprintf('NGMI: %.4f bits\n', NGMI);
\ No newline at end of file
diff --git a/Functions/Theory/NGMI/mutual_infomation_undertsanding_gpt.m b/Functions/Theory/NGMI/mutual_infomation_undertsanding_gpt.m
new file mode 100644
index 0000000..abb6c26
--- /dev/null
+++ b/Functions/Theory/NGMI/mutual_infomation_undertsanding_gpt.m
@@ -0,0 +1,43 @@
+% estimate_entropies.m
+clear; rng(0);
+
+%% 1) Parameters
+M        = 1e5;          % number of Monte-Carlo samples
+EbNo_dB  = 0;           % SNR per bit in dB
+EbNo     = 10^(EbNo_dB/10);
+sigma2   = 1/(2*EbNo);   % noise variance per real dimension
+
+% 4-QAM constellation (row vector)
+X  = [1+1j, 1-1j, -1+1j, -1-1j];  
+N  = numel(X);
+PX = ones(1,N)/N;        % uniform PMF
+
+%% 2) Generate transmit symbols and AWGN
+idx = randi(N,1,M);             % 1×M random symbol indices
+s   = X(idx);                   % 1×M transmitted symbols
+n   = sqrt(sigma2)*(randn(1,M) + 1j*randn(1,M));
+y   = s + n;                    % 1×M received samples
+
+%% 3) Compute p_{Y|X}(y|x) for each constellation point
+%    Create an N×M matrix where row n is |y - X(n)|^2
+d2     = abs(bsxfun(@minus, X(:), y)).^2;        % N×M
+pYgX   = (1/(pi*sigma2)) * exp(-d2 / sigma2);    % N×M
+
+%% 4) Estimate H(Y) = -E[ log2 p_Y(Y) ]
+%    Mixture density p_Y(y_m) = sum_n PX(n)*pYgX(n,m)
+pY     = PX * pYgX;                 % 1×M
+HY      = -mean(log2(pY));          % bits
+
+%% 5) Estimate H(Y|X) = -E[ log2 p(Y|X) ]
+%    For each m, pick the row corresponding to the true idx(m)
+linearIdx = sub2ind([N, M], idx, 1:M);
+pYgX_true = pYgX(linearIdx);        % 1×M
+HYgX     = -mean(log2(pYgX_true));  % bits
+
+%% 6) Mutual information
+I = HY - HYgX;
+
+%% 7) Display
+fprintf('Estimated H(Y)      = %.4f bits\n', HY);
+fprintf('Estimated H(Y|X)    = %.4f bits\n', HYgX);
+fprintf('Estimated I(X;Y)    = %.4f bits\n', I);
diff --git a/Functions/Theory/PMD_maxwellshape/dgd_considerations.m b/Functions/Theory/PMD_maxwellshape/dgd_considerations.m
new file mode 100644
index 0000000..fd998db
--- /dev/null
+++ b/Functions/Theory/PMD_maxwellshape/dgd_considerations.m
@@ -0,0 +1,116 @@
+
+if 0
+pmd             = 0.2 * ( 1e-12 / sqrt(1e3) ) ;   % 0.1 ps/sqrt(km) -> 1e-9 -> s/sqrt(m)
+L               = 1000;     % m
+corr_len        = 100;
+num_wave_plates = 100;
+wp_len          = L / num_wave_plates; %waveplate length
+dgd             = pmd * sqrt(L); 
+fdac            = 120e9;    % GHz
+
+fsim            = fdac * 512 ; %oversampled simulation frequency
+dt              = 1/fsim;   % sample time
+nt              = 4;      % sampled signal length
+omega           = 2*pi*[(0:nt/2-1),(-nt/2:-1)]/(dt*nt) ;  %angular frequency vector for optical signal of length nt
+omega           = 2*pi*fsim ;  %angular frequency vector for optical signal of length nt
+
+for rlz = 1:20000
+
+    db0 = [];
+    db1 = [];
+    delta_beta = [];
+    
+    db0             = (rand(num_wave_plates,1)*2*pi - pi); % normal distr. between -pi <-> +pi
+
+    db1             = sqrt(3*pi/8)*(dgd/fsim)/ num_wave_plates .* omega; % linear increasing delta beta 1
+    
+    %loop over waveplates
+    for n_wp = 1:length(db0)
+        delta_beta(n_wp,:)      = (db1+db0(n_wp))./corr_len;
+    end
+    
+    dphi            = delta_beta*wp_len;       %phase shift due to propagation constant = beta * L
+
+    if rlz == 1
+        figure()
+        plot(cumsum( delta_beta ));
+    end
+    
+    dphi_end(rlz)   = sum( dphi );
+
+end
+
+figure;
+histogram((dphi_end),100);
+
+deltaT = mean(abs(dphi_end));
+
+%H               = exp(-1j*dphi);       % Filter to apply phase shift in freq. domain
+end
+
+
+PMD         = 0.1 * ( 1e-12 / sqrt(1e3) ); %PMD s/sqrt(m)
+L           = 10e3;                   %m
+sigma_dgd   = PMD * sqrt(L);       % in sec.
+disp(['variance of DGD in pico seconds: ',num2str(sigma_dgd*1e12)]);
+disp(['variance of DGD in pico seconds: ',num2str(sigma_dgd*1e12)]);
+
+dgd = [];
+for i = 1:4
+    dgd(i,:)       = DGD(sigma_dgd,10000);
+end
+
+rms =  PMD * sqrt(40e3) * 1e12 ;       % in sec.
+t = [0:0.01:100];
+z2 = sqrt(2/pi).*(t.^2)/(rms.^3).*exp(-t.^2/(2*rms^2)) ;
+figure;
+histogram(dgd*1e12,1000,"Normalization","pdf");
+hold on
+plot(t(1:200),z2(1:200),'r');
+hold off
+
+function z = DGD(sigma_dgd,N)
+
+    %PMD = sqrt( (PMD*1e12)^2/3 );
+
+   % PMD = PMD * 1/( 1e-12 / sqrt(1e3) );
+
+    sigma_dgd = sigma_dgd*1e12;
+
+    x = [0:N];
+
+    almaga = randn(3,N)*sigma_dgd;
+
+    y = almaga.^2;
+
+    z0 = sqrt(sum(y,1));
+
+   
+    disp(mean(z0));
+    disp(std(z0));
+  % disp(var(z0));
+
+    z1 = [];
+
+    for l = 0:0.1:N
+        z1 = [z1 sum(z0(1,:)>l & z0(1,:)<l+0.1) / N ];
+    end
+
+     z = z0 *1e-12;
+
+    rms = sigma_dgd;
+    t = [0:0.01:N];
+    z2 = sqrt(2/pi).*(t.^2)/(rms.^3).*exp(-t.^2/(2*rms^2)) ;
+
+    figure;
+    histogram(z0,1000,"Normalization","pdf");
+    hold on
+    plot(t(1:200),z2(1:200),'r');
+
+    return
+
+end
+
+
+
+
diff --git a/Functions/Theory/PMD_maxwellshape/pmd_maxwell.m b/Functions/Theory/PMD_maxwellshape/pmd_maxwell.m
new file mode 100644
index 0000000..f66694d
--- /dev/null
+++ b/Functions/Theory/PMD_maxwellshape/pmd_maxwell.m
@@ -0,0 +1,59 @@
+
+PMDcoeff    = 0.1 * ( 1e-12 / sqrt(1e3) ); %PMD s/sqrt(m)
+
+
+L_40        = 40e3;                   %m
+mean_dgd    = PMDcoeff * sqrt(L_40);       % in sec. E(tau) == PMD value 
+
+disp(['defined mean of DGD in pico seconds: ',num2str(mean_dgd*1e12)]);
+
+dgd_40km = [];
+for i = 1:4000
+    dgd_40km(i,:) = getDGDrealization(mean_dgd,1);
+end
+
+disp(['simulated mean of DGD in pico seconds: ',num2str(mean(dgd_40km)*1e12)]);
+
+%%% 2 test for segmented link %%%%
+
+L_10        = 10e3;                   %m
+mean_dgd    = PMDcoeff * sqrt(L_10);       % in sec. E(tau) == PMD value 
+
+dgd_10km = [];
+for j = 1:4
+    for i = 1:1000
+        dgd_10km(i,j) = getDGDrealization(mean_dgd,1);
+    end
+end
+
+a = sum(dgd_10km,2) ;
+
+%%% calc maxwell curve
+mean_dgd =  PMDcoeff * sqrt(L_40) * 1e12 ; % in sec.
+q = sqrt(pi/8) * mean_dgd;
+t = [0:0.01:100];
+
+maxwell = sqrt(2/pi).* (t.^2)/(q.^3) .* exp(-t.^2/(2*q^2)) ;
+
+
+%%% plot everything 
+
+figure;
+histogram(dgd_40km*1e12,1000,"Normalization","pdf",'EdgeColor','none','FaceColor','b','FaceAlpha',0.6);
+hold on
+histogram(a*1e12,1000,"Normalization","pdf",'EdgeColor','none','FaceColor','g','FaceAlpha',0.6);
+plot(t(1:200),maxwell(1:200),'r','LineWidth',3);
+xline(mean_dgd,'LineWidth',3,'Color','magenta')
+hold off
+
+function z = getDGDrealization(mean_dgd,N)
+
+    mean_dgd = mean_dgd; %to pico seconds
+    q = sqrt(pi/8) * mean_dgd;
+    threenormaldists = randn(3,N)*q; %3x normal dist around [-1,1] with a deviation of mean_dgd 
+
+    y = threenormaldists.^2;
+
+    z = sqrt(sum(y,1));
+  
+end
\ No newline at end of file
diff --git a/projects/S21/ExampleDirectoryApp.mlapp b/projects/S21/ExampleDirectoryApp.mlapp
new file mode 100644
index 0000000..1a890df
Binary files /dev/null and b/projects/S21/ExampleDirectoryApp.mlapp differ
diff --git a/projects/S21/HF Kabel/kabel-09z07001.s2p b/projects/S21/HF Kabel/kabel-09z07001.s2p
new file mode 100644
index 0000000..7a46069
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-09z07001.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 12:02:29
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-09z07002.s2p b/projects/S21/HF Kabel/kabel-09z07002.s2p
new file mode 100644
index 0000000..0121d48
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-09z07002.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 12:06:28
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-1.s2p b/projects/S21/HF Kabel/kabel-miniband-1.s2p
new file mode 100644
index 0000000..228105b
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-1.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:10:48
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-2.s2p b/projects/S21/HF Kabel/kabel-miniband-2.s2p
new file mode 100644
index 0000000..f04f8e4
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-2.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:13:00
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-3.s2p b/projects/S21/HF Kabel/kabel-miniband-3.s2p
new file mode 100644
index 0000000..d21c116
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-3.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:07:40
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-4.s2p b/projects/S21/HF Kabel/kabel-miniband-4.s2p
new file mode 100644
index 0000000..d25736b
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-4.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:15:49
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-5defekt.s2p b/projects/S21/HF Kabel/kabel-miniband-5defekt.s2p
new file mode 100644
index 0000000..102a505
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-5defekt.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 13:57:44
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-6.s2p b/projects/S21/HF Kabel/kabel-miniband-6.s2p
new file mode 100644
index 0000000..166b0d3
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-6.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:01:17
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-miniband-7.s2p b/projects/S21/HF Kabel/kabel-miniband-7.s2p
new file mode 100644
index 0000000..4b6edd2
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-miniband-7.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 14:02:57
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-sn2830-2ea.s2p b/projects/S21/HF Kabel/kabel-sn2830-2ea.s2p
new file mode 100644
index 0000000..8711dff
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-sn2830-2ea.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 13:26:37
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/kabel-sn2831-2ea.s2p b/projects/S21/HF Kabel/kabel-sn2831-2ea.s2p
new file mode 100644
index 0000000..f117a37
--- /dev/null
+++ b/projects/S21/HF Kabel/kabel-sn2831-2ea.s2p	
@@ -0,0 +1,806 @@
+#  HZ   S   RI   R     50.00 
+! Rohde & Schwarz ZVA67 4Ports - Version 3.60 - 1305.7002k04 SN: 101159
+! Date: 2024-06-25 13:30:12
+! Measurements: S11 S21 S12 S22 
+! 
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diff --git a/projects/S21/HF Kabel/plot_cable.m b/projects/S21/HF Kabel/plot_cable.m
new file mode 100644
index 0000000..d438cf3
--- /dev/null
+++ b/projects/S21/HF Kabel/plot_cable.m	
@@ -0,0 +1,113 @@
+[file,path] = uigetfile("*.S2P");
+
+filename = [path , file];
+
+matrix = loads2p(filename);
+
+frex = matrix(:,1);
+for i = 1:numel(frex)
+    if frex(i) > 1e4
+        frex(i) = frex(i).*1e-9;
+    end
+end
+
+
+
+
+figure(101)
+lines = numel(findall(gcf, 'type','line'))/4+1;
+
+[CC, LL, MM] = ndgrid({1,2,3,4}, {'-', ':', '-.', '--'}, {'none','+', 'o', '*', 'square', 'diamond'});
+combinations = [CC(:), LL(:), MM(:)];
+cols =     [0.3467    0.5360    0.6907
+    0.9153    0.2816    0.2878
+    0.4416    0.7490    0.4322
+    1.0000    0.5984    0.2000];
+
+heads = ["S11","S12","S22","S21"];
+for i = 1:4
+    subplot(2,2,i)
+    hold on
+    plot(frex,10*log10(abs(matrix(:,2*i)+1i.*matrix(:,2*i+1))),"Color",cols(combinations{lines,1},:),'DisplayName',file,'LineStyle',combinations{lines,2},'Marker',combinations{lines,3},'MarkerSize',3);
+    if i == 2 || i == 3
+        ylim([-6 0]);
+    else
+        ylim([-30 0]);
+    end
+    xlim([0 70]);
+    title(heads(i))
+    xlabel('Frequency in GHZ');
+    ylabel('Attenuation in dB');
+    legend
+end
+sgtitle(['S-Parameter']);
+
+
+
+function matrix = loads2p(filepath)
+startRow = 2;
+
+%% Read columns of data as text:
+% For more information, see the TEXTSCAN documentation.
+formatSpec = '%20s%25s%23s%23s%23s%23s%23s%23s%23s%s%[^\n\r]';
+
+%% Open the text file.
+fileID = fopen(filepath,'r');
+
+%% Read columns of data according to the format.
+% This call is based on the structure of the file used to generate this code. If an error occurs for a different file, try regenerating the code from the Import Tool.
+dataArray = textscan(fileID, formatSpec, 'Delimiter', '', 'WhiteSpace', '', 'TextType', 'string', 'HeaderLines' ,startRow-1, 'ReturnOnError', false, 'EndOfLine', '\r\n');
+
+%% Close the text file.
+fclose(fileID);
+
+%% Convert the contents of columns containing numeric text to numbers.
+% Replace non-numeric text with NaN.
+raw = repmat({''},length(dataArray{1}),length(dataArray)-1);
+for col=1:length(dataArray)-1
+    raw(1:length(dataArray{col}),col) = mat2cell(dataArray{col}, ones(length(dataArray{col}), 1));
+end
+numericData = NaN(size(dataArray{1},1),size(dataArray,2));
+
+for col=[1,2,3,4,5,6,7,8,9,10]
+    % Converts text in the input cell array to numbers. Replaced non-numeric text with NaN.
+    rawData = dataArray{col};
+    for row=1:size(rawData, 1)
+        % Create a regular expression to detect and remove non-numeric prefixes and suffixes.
+        regexstr = '(?<prefix>.*?)(?<numbers>([-]*(\d+[\,]*)+[\.]{0,1}\d*[eEdD]{0,1}[-+]*\d*[i]{0,1})|([-]*(\d+[\,]*)*[\.]{1,1}\d+[eEdD]{0,1}[-+]*\d*[i]{0,1}))(?<suffix>.*)';
+        try
+            result = regexp(rawData(row), regexstr, 'names');
+            numbers = result.numbers;
+
+            % Detected commas in non-thousand locations.
+            invalidThousandsSeparator = false;
+            if numbers.contains(',')
+                thousandsRegExp = '^[-/+]*\d+?(\,\d{3})*\.{0,1}\d*$';
+                if isempty(regexp(numbers, thousandsRegExp, 'once'))
+                    numbers = NaN;
+                    invalidThousandsSeparator = true;
+                end
+            end
+            % Convert numeric text to numbers.
+            if ~invalidThousandsSeparator
+                numbers = textscan(char(strrep(numbers, ',', '')), '%f');
+                numericData(row, col) = numbers{1};
+                raw{row, col} = numbers{1};
+            end
+        catch
+            raw{row, col} = rawData{row};
+        end
+    end
+end
+
+
+%% Replace non-numeric cells with NaN
+R = cellfun(@(x) ~isnumeric(x) && ~islogical(x),raw); % Find non-numeric cells
+raw(R) = {NaN}; % Replace non-numeric cells
+
+%% Create output variable
+matrix = cell2mat(raw);
+%% Clear temporary variables
+clearvars filename startRow formatSpec fileID dataArray ans raw col numericData rawData row regexstr result numbers invalidThousandsSeparator thousandsRegExp R;
+
+end
diff --git a/projects/S21/M8199B_Spara/M8199B_ch1_inverted_Scope_Ch4.s2p b/projects/S21/M8199B_Spara/M8199B_ch1_inverted_Scope_Ch4.s2p
new file mode 100644
index 0000000..15aa6f6
--- /dev/null
+++ b/projects/S21/M8199B_Spara/M8199B_ch1_inverted_Scope_Ch4.s2p
@@ -0,0 +1,603 @@
+# GHz S RI R 50
+! S-Parameters data
+! Freq   reS11   imS11   reS21   imS21   reS12   imS12   reS22   imS22
+0.2031250000                     0.0000000000           0.0000000000           0.9987050029          -0.0508755075           0.9987050029          -0.0508755075           0.0000000000           0.0000000000
+0.3437500000                     0.0000000000           0.0000000000           0.9680852043          -0.0147660918           0.9680852043          -0.0147660918           0.0000000000           0.0000000000
+0.5000000000                     0.0000000000           0.0000000000           0.9567632105          -0.0120976504           0.9567632105          -0.0120976504           0.0000000000           0.0000000000
+0.6679687500                     0.0000000000           0.0000000000           0.9375122720           0.0111012692           0.9375122720           0.0111012692           0.0000000000           0.0000000000
+0.8437500000                     0.0000000000           0.0000000000           0.9617458612           0.0087783809           0.9617458612           0.0087783809           0.0000000000           0.0000000000
+1.0078125000                     0.0000000000           0.0000000000           0.9637471576           0.0025454739           0.9637471576           0.0025454739           0.0000000000           0.0000000000
+1.1875000000                     0.0000000000           0.0000000000           0.9610321867           0.0232461100           0.9610321867           0.0232461100           0.0000000000           0.0000000000
+1.3398437500                     0.0000000000           0.0000000000           0.9747995525           0.0371127820           0.9747995525           0.0371127820           0.0000000000           0.0000000000
+1.5078125000                     0.0000000000           0.0000000000           0.9838890604           0.0053493042           0.9838890604           0.0053493042           0.0000000000           0.0000000000
+1.6679687500                     0.0000000000           0.0000000000           0.9593686789           0.0217257773           0.9593686789           0.0217257773           0.0000000000           0.0000000000
+1.8359375000                     0.0000000000           0.0000000000           0.9745205820           0.0450117116           0.9745205820           0.0450117116           0.0000000000           0.0000000000
+2.0078125000                     0.0000000000           0.0000000000           0.9657587105           0.0128311785           0.9657587105           0.0128311785           0.0000000000           0.0000000000
+2.1367187500                     0.0000000000           0.0000000000           0.9591894829           0.0248996852           0.9591894829           0.0248996852           0.0000000000           0.0000000000
+2.3046875000                     0.0000000000           0.0000000000           0.9649581842           0.0008635102           0.9649581842           0.0008635102           0.0000000000           0.0000000000
+2.4726562500                     0.0000000000           0.0000000000           0.9638138192           0.0226960018           0.9638138192           0.0226960018           0.0000000000           0.0000000000
+2.6523437500                     0.0000000000           0.0000000000           0.9593819547           0.0370490153           0.9593819547           0.0370490153           0.0000000000           0.0000000000
+2.8242187500                     0.0000000000           0.0000000000           0.9650199950           0.0231657914           0.9650199950           0.0231657914           0.0000000000           0.0000000000
+2.9882812500                     0.0000000000           0.0000000000           0.9749280026          -0.0084963293           0.9749280026          -0.0084963293           0.0000000000           0.0000000000
+3.1562500000                     0.0000000000           0.0000000000           0.9677913155           0.0455327993           0.9677913155           0.0455327993           0.0000000000           0.0000000000
+3.3125000000                     0.0000000000           0.0000000000           0.9695009588           0.0155299298           0.9695009588           0.0155299298           0.0000000000           0.0000000000
+3.4726562500                     0.0000000000           0.0000000000           0.9682949871          -0.0004945852           0.9682949871          -0.0004945852           0.0000000000           0.0000000000
+3.6406250000                     0.0000000000           0.0000000000           0.9749562215           0.0192515808           0.9749562215           0.0192515808           0.0000000000           0.0000000000
+3.7929687500                     0.0000000000           0.0000000000           0.9740841994           0.0166712427           0.9740841994           0.0166712427           0.0000000000           0.0000000000
+3.9531250000                     0.0000000000           0.0000000000           0.9831300450           0.0292910123           0.9831300450           0.0292910123           0.0000000000           0.0000000000
+4.1210937500                     0.0000000000           0.0000000000           0.9656254829          -0.0136510096           0.9656254829          -0.0136510096           0.0000000000           0.0000000000
+4.2968750000                     0.0000000000           0.0000000000           0.9765560148           0.0211750637           0.9765560148           0.0211750637           0.0000000000           0.0000000000
+4.4687500000                     0.0000000000           0.0000000000           0.9781272833           0.0209659243           0.9781272833           0.0209659243           0.0000000000           0.0000000000
+4.6210937500                     0.0000000000           0.0000000000           0.9696542175          -0.0044859448           0.9696542175          -0.0044859448           0.0000000000           0.0000000000
+4.7890625000                     0.0000000000           0.0000000000           0.9633705463           0.0085350939           0.9633705463           0.0085350939           0.0000000000           0.0000000000
+4.9296875000                     0.0000000000           0.0000000000           0.9708613999           0.0392409056           0.9708613999           0.0392409056           0.0000000000           0.0000000000
+5.0898437500                     0.0000000000           0.0000000000           0.9739981332           0.0243945952           0.9739981332           0.0243945952           0.0000000000           0.0000000000
+5.2851562500                     0.0000000000           0.0000000000           0.9656532494           0.0057255749           0.9656532494           0.0057255749           0.0000000000           0.0000000000
+5.4531250000                     0.0000000000           0.0000000000           0.9742292215          -0.0227970590           0.9742292215          -0.0227970590           0.0000000000           0.0000000000
+5.5820312500                     0.0000000000           0.0000000000           0.9627674551           0.0235934244           0.9627674551           0.0235934244           0.0000000000           0.0000000000
+5.7617187500                     0.0000000000           0.0000000000           0.9863144721           0.0054159317           0.9863144721           0.0054159317           0.0000000000           0.0000000000
+5.9296875000                     0.0000000000           0.0000000000           0.9689767720          -0.0103060479           0.9689767720          -0.0103060479           0.0000000000           0.0000000000
+6.0937500000                     0.0000000000           0.0000000000           0.9774280539           0.0217145034           0.9774280539           0.0217145034           0.0000000000           0.0000000000
+6.2382812500                     0.0000000000           0.0000000000           0.9650800324           0.0046257302           0.9650800324           0.0046257302           0.0000000000           0.0000000000
+6.4335937500                     0.0000000000           0.0000000000           0.9647965518           0.0558707889           0.9647965518           0.0558707889           0.0000000000           0.0000000000
+6.5937500000                     0.0000000000           0.0000000000           0.9677005792           0.0139893089           0.9677005792           0.0139893089           0.0000000000           0.0000000000
+6.7617187500                     0.0000000000           0.0000000000           0.9671191239          -0.0056675230           0.9671191239          -0.0056675230           0.0000000000           0.0000000000
+6.9140625000                     0.0000000000           0.0000000000           0.9627415668          -0.0067852360           0.9627415668          -0.0067852360           0.0000000000           0.0000000000
+7.0898437500                     0.0000000000           0.0000000000           0.9565759495          -0.0044581559           0.9565759495          -0.0044581559           0.0000000000           0.0000000000
+7.2226562500                     0.0000000000           0.0000000000           0.9813538252           0.0390394394           0.9813538252           0.0390394394           0.0000000000           0.0000000000
+7.3945312500                     0.0000000000           0.0000000000           0.9493807259           0.0357085780           0.9493807259           0.0357085780           0.0000000000           0.0000000000
+7.5585937500                     0.0000000000           0.0000000000           0.9422403138           0.0136468039           0.9422403138           0.0136468039           0.0000000000           0.0000000000
+7.7304687500                     0.0000000000           0.0000000000           0.9626792011           0.0051155363           0.9626792011           0.0051155363           0.0000000000           0.0000000000
+7.8945312500                     0.0000000000           0.0000000000           0.9544877561          -0.0006035677           0.9544877561          -0.0006035677           0.0000000000           0.0000000000
+8.0703125000                     0.0000000000           0.0000000000           0.9519736361          -0.0124592878           0.9519736361          -0.0124592878           0.0000000000           0.0000000000
+8.2109375000                     0.0000000000           0.0000000000           0.9504809581           0.0035174864           0.9504809581           0.0035174864           0.0000000000           0.0000000000
+8.3906250000                     0.0000000000           0.0000000000           0.9538714298           0.0613746867           0.9538714298           0.0613746867           0.0000000000           0.0000000000
+8.5390625000                     0.0000000000           0.0000000000           0.9553896790          -0.0005308538           0.9553896790          -0.0005308538           0.0000000000           0.0000000000
+8.7265625000                     0.0000000000           0.0000000000           0.9520659665           0.0155208692           0.9520659665           0.0155208692           0.0000000000           0.0000000000
+8.8984375000                     0.0000000000           0.0000000000           0.9461987961          -0.0043565949           0.9461987961          -0.0043565949           0.0000000000           0.0000000000
+9.0507812500                     0.0000000000           0.0000000000           0.9461187879           0.0108834967           0.9461187879           0.0108834967           0.0000000000           0.0000000000
+9.1953125000                     0.0000000000           0.0000000000           0.9495385289           0.0071618325           0.9495385289           0.0071618325           0.0000000000           0.0000000000
+9.3710937500                     0.0000000000           0.0000000000           0.9440026710           0.0111858175           0.9440026710           0.0111858175           0.0000000000           0.0000000000
+9.5312500000                     0.0000000000           0.0000000000           0.9577327756          -0.0132684968           0.9577327756          -0.0132684968           0.0000000000           0.0000000000
+9.7148437500                     0.0000000000           0.0000000000           0.9349156874          -0.0111586207           0.9349156874          -0.0111586207           0.0000000000           0.0000000000
+9.8828125000                     0.0000000000           0.0000000000           0.9442906411           0.0202633869           0.9442906411           0.0202633869           0.0000000000           0.0000000000
+10.0234375000                    0.0000000000           0.0000000000           0.9343747064           0.0204432250           0.9343747064           0.0204432250           0.0000000000           0.0000000000
+10.1875000000                    0.0000000000           0.0000000000           0.9517471781           0.0143581928           0.9517471781           0.0143581928           0.0000000000           0.0000000000
+10.3593750000                    0.0000000000           0.0000000000           0.9494564793          -0.0019444282           0.9494564793          -0.0019444282           0.0000000000           0.0000000000
+10.5078125000                    0.0000000000           0.0000000000           0.9361450510           0.0358359923           0.9361450510           0.0358359923           0.0000000000           0.0000000000
+10.6718750000                    0.0000000000           0.0000000000           0.9373204410           0.0038578095           0.9373204410           0.0038578095           0.0000000000           0.0000000000
+10.8554687500                    0.0000000000           0.0000000000           0.9413767085          -0.0063915503           0.9413767085          -0.0063915503           0.0000000000           0.0000000000
+11.0234375000                    0.0000000000           0.0000000000           0.9407228997           0.0445834150           0.9407228997           0.0445834150           0.0000000000           0.0000000000
+11.1796875000                    0.0000000000           0.0000000000           0.9342525519          -0.0002674380           0.9342525519          -0.0002674380           0.0000000000           0.0000000000
+11.3593750000                    0.0000000000           0.0000000000           0.9414548974           0.0072130108           0.9414548974           0.0072130108           0.0000000000           0.0000000000
+11.5117187500                    0.0000000000           0.0000000000           0.9314555582           0.0361038286           0.9314555582           0.0361038286           0.0000000000           0.0000000000
+11.6835937500                    0.0000000000           0.0000000000           0.9303427099           0.0008861092           0.9303427099           0.0008861092           0.0000000000           0.0000000000
+11.8320312500                    0.0000000000           0.0000000000           0.9262532292           0.0117464917           0.9262532292           0.0117464917           0.0000000000           0.0000000000
+11.9921875000                    0.0000000000           0.0000000000           0.9235264678           0.0187800307           0.9235264678           0.0187800307           0.0000000000           0.0000000000
+12.1718750000                    0.0000000000           0.0000000000           0.9310623173           0.0291299054           0.9310623173           0.0291299054           0.0000000000           0.0000000000
+12.3281250000                    0.0000000000           0.0000000000           0.9221378919          -0.0169763077           0.9221378919          -0.0169763077           0.0000000000           0.0000000000
+12.4804687500                    0.0000000000           0.0000000000           0.9091592354           0.0525794599           0.9091592354           0.0525794599           0.0000000000           0.0000000000
+12.6445312500                    0.0000000000           0.0000000000           0.9131947364           0.0160392103           0.9131947364           0.0160392103           0.0000000000           0.0000000000
+12.8281250000                    0.0000000000           0.0000000000           0.9175280224           0.0415400479           0.9175280224           0.0415400479           0.0000000000           0.0000000000
+12.9804687500                    0.0000000000           0.0000000000           0.9237591153           0.0513372855           0.9237591153           0.0513372855           0.0000000000           0.0000000000
+13.1640625000                    0.0000000000           0.0000000000           0.9192959401           0.0428020502           0.9192959401           0.0428020502           0.0000000000           0.0000000000
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+14.6289062500                    0.0000000000           0.0000000000           0.9194976518           0.0539941908           0.9194976518           0.0539941908           0.0000000000           0.0000000000
+14.7812500000                    0.0000000000           0.0000000000           0.9113200707           0.0763119899           0.9113200707           0.0763119899           0.0000000000           0.0000000000
+14.9609375000                    0.0000000000           0.0000000000           0.9029692896           0.0869627770           0.9029692896           0.0869627770           0.0000000000           0.0000000000
+15.1250000000                    0.0000000000           0.0000000000           0.9250014122           0.0899874114           0.9250014122           0.0899874114           0.0000000000           0.0000000000
+15.2929687500                    0.0000000000           0.0000000000           0.9123190455           0.0865082040           0.9123190455           0.0865082040           0.0000000000           0.0000000000
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+17.7539062500                    0.0000000000           0.0000000000           0.9708794156           0.1200608230           0.9708794156           0.1200608230           0.0000000000           0.0000000000
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+18.8710937500                    0.0000000000           0.0000000000           0.9964498279           0.1592650181           0.9964498279           0.1592650181           0.0000000000           0.0000000000
+19.0703125000                    0.0000000000           0.0000000000           1.0022901049           0.1295036831           1.0022901049           0.1295036831           0.0000000000           0.0000000000
+19.2226562500                    0.0000000000           0.0000000000           1.0015649773           0.1579668090           1.0015649773           0.1579668090           0.0000000000           0.0000000000
+19.3828125000                    0.0000000000           0.0000000000           1.0069009574           0.1346579460           1.0069009574           0.1346579460           0.0000000000           0.0000000000
+19.5507812500                    0.0000000000           0.0000000000           1.0100604423           0.1822910797           1.0100604423           0.1822910797           0.0000000000           0.0000000000
+19.7070312500                    0.0000000000           0.0000000000           1.0214321461           0.1218835026           1.0214321461           0.1218835026           0.0000000000           0.0000000000
+19.8906250000                    0.0000000000           0.0000000000           1.0188038824           0.1025601978           1.0188038824           0.1025601978           0.0000000000           0.0000000000
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diff --git a/projects/S21/M8199B_Spara/everything_from_iqtools.s4p b/projects/S21/M8199B_Spara/everything_from_iqtools.s4p
new file mode 100644
index 0000000..87cbdc4
--- /dev/null
+++ b/projects/S21/M8199B_Spara/everything_from_iqtools.s4p
@@ -0,0 +1,2811 @@
+# GHz S RI R 50
+! S-Parameters data
+! Freq   reS11   imS11   reS12   imS12   reS13   imS13   reS14   imS14
+!        reS21   imS21   reS22   imS22   reS23   imS23   reS24   imS24
+!        reS31   imS31   reS32   imS32   reS33   imS33   reS34   imS34
+!        reS41   imS41   reS42   imS42   reS43   imS43   reS44   imS44
+!     
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diff --git a/projects/S21/M8199B_Spara/iqtools_m8199b_1.s2p b/projects/S21/M8199B_Spara/iqtools_m8199b_1.s2p
new file mode 100644
index 0000000..76b8355
--- /dev/null
+++ b/projects/S21/M8199B_Spara/iqtools_m8199b_1.s2p
@@ -0,0 +1,704 @@
+# GHz S RI R 50
+! S-Parameters data
+! Freq   reS11   imS11   reS21   imS21   reS12   imS12   reS22   imS22
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diff --git a/projects/S21/M8199B_Spara/iqtools_m8199b_2.s2p b/projects/S21/M8199B_Spara/iqtools_m8199b_2.s2p
new file mode 100644
index 0000000..5236aa1
--- /dev/null
+++ b/projects/S21/M8199B_Spara/iqtools_m8199b_2.s2p
@@ -0,0 +1,704 @@
+# GHz S RI R 50
+! S-Parameters data
+! Freq   reS11   imS11   reS21   imS21   reS12   imS12   reS22   imS22
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diff --git a/projects/S21/dpe_el_b2b_m8199b_uxr1102A_loop1_1.mat b/projects/S21/dpe_el_b2b_m8199b_uxr1102A_loop1_1.mat
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diff --git a/projects/S21/dpe_el_b2b_m8199b_uxr1102A_loop1_1_1mmKabel.mat b/projects/S21/dpe_el_b2b_m8199b_uxr1102A_loop1_1_1mmKabel.mat
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index 0000000..6d617f2
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diff --git a/projects/S21/est_el_b2b_9186A_ch_1_DSOZ634A_ch11.mat b/projects/S21/est_el_b2b_9186A_ch_1_DSOZ634A_ch11.mat
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diff --git a/projects/S21/load_and_show_freqresp.m b/projects/S21/load_and_show_freqresp.m
new file mode 100644
index 0000000..b88116d
--- /dev/null
+++ b/projects/S21/load_and_show_freqresp.m
@@ -0,0 +1,88 @@
+
+
+% load dp_freqresp
+path = 'C:\Users\Silas\Documents\MATLAB\mmgl\projects\S21';
+%path = 'C:\Users\Silas\Documents\MATLAB\model-collection\sioe_models\Filter Comparison';
+% name = 'precomp_golden.mat';
+name = 'dpe_el_b2b_m8199b_uxr1102A_loop1_1_1mmKabel.mat';
+%name = 'cable_loop0_1.mat';
+data = load([path,filesep,name]);
+
+field = data.uFF;
+
+field_abs = fftshift(20*log10(abs(1./field)));
+
+field_atten_dc = field_abs(round(length(field_abs)/2));
+sorted_data = sort(field_abs);
+lower_index = round(0.1 * length(sorted_data)); % Lower 10%
+upper_index = round(0.9 * length(sorted_data)); % Upper 90%
+inner_values = sorted_data(lower_index+1 : upper_index);
+average_inner = mean(inner_values);
+
+field_angle = fftshift(angle(1./field));
+
+frex = data.f .* 1e-9;
+frex = linspace(-max(frex)/2,max(frex)/2,numel(frex));
+field_grpdly = diff(unwrap(field_angle))./diff(frex);
+
+
+%Filter for comparison
+fc = 35; 
+n = 1;
+
+if 0
+    %construct gaussian
+    faxis=linspace(-max(frex),max(frex),length(frex));%generates arow vector faxis of blocklen+1 points linearly spaced between and including -para.fs/2 and para.fs/2
+    faxis=ifftshift(faxis(1:end));
+    H=exp(-((faxis)/(fc*2)).^(2*n)*log(2)*2^(2*n-1));
+    filt = fftshift(20*log10(abs(H))).';
+    filtname = ['Gauss.; fc:',num2str(fc),' GHz, order: ',num2str(n)];
+else
+    % add a butterworth filter
+    [B, A] = butter(n, fc/max(frex),'low');
+    [H,w]=freqz(B,A,length(frex),'whole');
+    filt = fftshift(20*log10(abs(H)));
+    filtname = ['Butterw.; fc:',num2str(fc),' GHz, order: ',num2str(n)];
+end
+
+filt = filt+sorted_data(upper_index);
+filt_angle = fftshift(angle(H));
+filt_grpdly = diff(unwrap(filt_angle))./diff(frex);
+
+
+figure(12)
+subplot(3,1,1);
+hold on
+p1 = plot(frex,field_abs,'LineWidth',1,'LineStyle','-','DisplayName',['s21: ', char(filename)]);
+p2 = plot(frex,filt,'LineWidth',1,'LineStyle',':','DisplayName',filtname);
+yline(-3,'LineStyle',':','LineWidth',1,'HandleVisibility','off');
+yline(sorted_data(lower_index),'DisplayName','10% Percentile');
+yline(sorted_data(upper_index),'DisplayName','90% Percentile');
+yline(average_inner,'DisplayName','Avg. 10-90% Percentile');
+ylim([-40 1])
+ylabel('Magnitude (dB)')
+legend
+
+subplot(3,1,2);
+hold on
+p1 = plot(frex,field_angle,'LineWidth',1,'Color',p1.Color,'LineStyle','-','DisplayName',['s21 phase: ', char(filename)]);
+p2 = plot(frex,filt_angle,'LineWidth',1,'Color',p2.Color,'LineStyle',':','DisplayName',filtname);
+ylim([-pi,pi]);
+yticks([-pi, 0, pi]);
+yticklabels({'-$\pi$', '0', '$\pi$'});
+ylabel('Angle');
+grid minor
+xlabel('Freq in GHz')
+legend
+
+
+subplot(3,1,3);
+hold on
+p1 = plot(frex(2:end),field_grpdly,'LineWidth',1,'Color',p1.Color,'LineStyle',':','DisplayName',['s21 phase: ', char(filename)]);
+p2 = plot(frex(2:end),filt_grpdly,'LineWidth',1,'Color',p2.Color,'LineStyle',':','DisplayName',filtname);
+ylabel('Group Delay (in s ??)');
+grid minor
+xlabel('Freq in GHz')
+
+legend
+
diff --git a/projects/S21/opt_b2b.mat b/projects/S21/opt_b2b.mat
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diff --git a/projects/S21/precomp_el_b2b_uxr1102A_loop1_1.mat b/projects/S21/precomp_el_b2b_uxr1102A_loop1_1.mat
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diff --git a/projects/S21/precomp_golden.mat b/projects/S21/precomp_golden.mat
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diff --git a/projects/S21/precomp_opt_b2b_uxr1102A_loop1_1.mat b/projects/S21/precomp_opt_b2b_uxr1102A_loop1_1.mat
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diff --git a/projects/S21/precomp_opt_b2b_uxr1102A_loop1_1_gut.mat b/projects/S21/precomp_opt_b2b_uxr1102A_loop1_1_gut.mat
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diff --git a/projects/S21/precomp_opt_b2b_uxr1102A_loop3_1.mat b/projects/S21/precomp_opt_b2b_uxr1102A_loop3_1.mat
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diff --git a/projects/S21/precomp_opt_b2b_uxr1102A_loop5_1.mat b/projects/S21/precomp_opt_b2b_uxr1102A_loop5_1.mat
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diff --git a/projects/S21/precomp_optical_120GAWG_256GScope_b2b_1.mat b/projects/S21/precomp_optical_120GAWG_256GScope_b2b_1.mat
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diff --git a/projects/S21/precomp_optical_92G.mat b/projects/S21/precomp_optical_92G.mat
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