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Add EQ

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This commit is contained in:
Silas Oettinghaus
2023-05-15 21:35:38 +02:00
parent f6b2f3eee9
commit 709cee9ecd
3 changed files with 547 additions and 6 deletions
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6
Classes/AWG.m
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@@ -57,7 +57,7 @@ classdef AWG
obj.dac_max = 0.5;
obj.dac_min = -.5;
obj.lowpass = 1; %LP
obj.f_cutoff = 92e9;
obj.f_cutoff = 32e9;
elseif options.preset == "M8199B"
%https://www.keysight.com/us/en/assets/3120-1465/data-sheets/M8199A-128-256-GSa-s-Arbitrary-Waveform-Generator.pdf
end
@@ -84,11 +84,11 @@ classdef AWG
% Detailed explanation goes here
arguments(Input)
obj
data_in Informationsignal
data_in
end
arguments(Output)
elec_out Electricalsignal
elec_out
end
obj.signal_length = length(data_in);

535
Classes/EQ.m Normal file
View File

@@ -0,0 +1,535 @@
classdef EQ
%EQ Summary of this class goes here
% Detailed explanation goes here
properties
Ne %Number of feed forward coefficients (1st, 2nd and 3rd order)
Nb %Number of decision feedback coefficients (1st, 2nd and 3rd order)
K %Number of samples per symbol
delay %Delay of incoming signal
training_length %Number of training symbols
training_loops %Number of loops through sequence for training mode
ideal_dfe %Error free DFE decisions
DB_aim %Aim at duobinary output sequence
M %Order of the PAM constellation (only relevant in case of DB aim)
FFEmu %mu parameter for FFE part in training mode (0 means normalized LMS)
DFEmu % mu parameter for DFE part in training mode
dd_loops % Number of loops through sequence for DD mode
DDmu % mu parameters for DD mode (individual value for each order)
DCmu % mu parameter for the dc tap
l1act %Activate/deactive l1 regularization
rho %Parameter for speed of coeff shrinking
epsilon %Reciprocal value of the magnitude of the coeff to converge to zero (1st,2nd,3rd order)
thres %Theshold for neglecting coefficienties (1st,2nd,3rd order)
static_act %Activate/deactive static coefficient reduction
mode2nd %0: no reduction | 1: polynomial | 2: restricted to interval
len_2nd %length of the interval (only for 2nd order mode = 2)
mode3rd %0: no reduction | 1: polynomial | 2: restricted to interval
len_3rd %length of the interval (only for 3rd order mode = 3/4)
%during simulation
k0
end
methods
function obj = EQ(options)
%EQ Construct an instance of this class
% Detailed explanation goes here
arguments(Input)
options
end
% alles nochmal mappen
end
function yout = process(obj,data_in,ref_in)
%METHOD1 Summary of this method goes here
% Detailed explanation goes here
if obj.DB_aim
ref_DB = zeros(size(ref_in));
for k = 1:length(ref_in)
if k == 1
ref_DB(k) = ref_in(k);
else
ref_DB(k) = ref_in(k) + ref_in(k-1);
end
end
ref_in = ref_DB;
end
ref = [zeros(1,obj.Nb(1)-1) ref_in zeros(1,obj.Nb(1))];
if isreal(ref)
cplx = 0;
else
cplx = 1;
end
if obj.static_act
obj.mode2nd = obj.mode2nd + 1;
obj.mode3rd = obj.mode3rd + 1;
else
obj.mode2nd = 1;
obj.mode3rd = 1;
end
if obj.mode2nd == 1
N2 = (obj.Ne(2)*(obj.Ne(2)+1))/2; % Number of coefficients for second order
elseif obj.mode2nd == 2
N2 = obj.Ne(2);
elseif obj.mode2nd == 3
N2 = (obj.len_2nd+1)*(2*obj.Ne(2)-obj.len_2nd)/2;
elseif obj.mode2nd == 4
N2 = (ceil(obj.Ne(2)/2)+1)*(2*obj.Ne(2)-ceil(obj.Ne(2)/2))/2;
end
if obj.mode3rd == 1
if cplx
N3 = obj.Ne(3)^2*(obj.Ne(3)+1)/2;
else
N3 = obj.Ne(3)*(obj.Ne(3)+1)*(obj.Ne(3)+2)/6; % Number of coefficients for third order
end
elseif obj.mode3rd == 2
N3 = obj.Ne(3);
elseif obj.mode3rd == 3
N3 = obj.Ne(3)^2;
elseif obj.mode3rd == 4
N3 = round(1/6*(obj.len_3rd+1)*(obj.len_3rd+2)*(3*obj.Ne(3)-2*obj.len_3rd));
elseif obj.mode3rd == 5
N3 = 2*obj.Ne(3)*obj.len_3rd-obj.len_3rd*(obj.len_3rd+1)+obj.Ne(3);
end
Nb2 = (obj.Nb(2)*(obj.Nb(2)+1))/2;
Nb3 = obj.Nb(3)*(obj.Nb(3)+1)*(obj.Nb(3)+2)/6;
data_in = data_in/sqrt(mean(abs(data_in).^2)); % power normalization of input sequence
if obj.FFEmu == 0
norm_fac2 = sqrt(mean(abs(data_in.^2).^2)); % power normalization for second and third order terms
norm_fac3 = sqrt(mean(abs(data_in.^3).^2)); % (not necessary, but seems to be more stable if applied --> same as different mu values for linear and nl terms)
else
norm_fac2 = 1;
norm_fac3 = 1;
end
norm_fac_DFE2 = sqrt(mean(abs(ref_in.^2).^2)); % same for DFE input (reference)
norm_fac_DFE3 = sqrt(mean(abs(ref_in.^3).^2));
data = [zeros(1,floor(obj.Ne(1)/2)) data_in zeros(1,obj.Ne(1))];
delta_2 = round((obj.Ne(1)-obj.Ne(2))/2);
delta_3 = round((obj.Ne(1)-obj.Ne(3))/2);
delta_DFE2 = 1;%round((obj.Nb-obj.Nb(2))/2);
delta_DFE3 = 1;%round((obj.Nb-obj.Nb(3))/2);
% calculate the indices for the combination of second and third order symbols
% - done in advance because it's the same for each iteration, so time
% can be saved
[ind_mat_2nd,ind_mat_3rd] = obj.calc_ind(obj.Ne(2),N2,obj.Ne(3),N3,obj.mode2nd,obj.mode3rd,obj.len_2nd,obj.len_3rd,cplx);
[ind_mat_DFE_2nd,ind_mat_DFE_3rd] = obj.calc_DFE_ind(obj.Nb(2),Nb2,obj.Nb(3),Nb3);
if obj.l1act
epsilon = diag([ones(1,obj.Ne(1))*obj.epsilon(1) ones(1,N2)*obj.epsilon(2) ones(1,N3)*obj.epsilon(3)]);
end
obj.k0 = obj.delay; % input delay compared to training sequence
if 1 % obj.active
%% Calculation of the filter coefficients in training based LMS mode
e = zeros(obj.Ne(1)+N2+N3,1); % initialization of filter coefficients
% e(ceil(obj.Ne(1)/2)) = 1; % set central tap to 1 (better starting point since it's closer to the expected solution)
b = zeros(obj.Nb(1)+Nb2+Nb3,1);
e_dc = mean(data_in); % initilaization of the dc tap with the mean value of the data
% e_save = NaN(361,8.6e5);
% save_ind = 1;
for trainloops = 1:obj.training_loops
m = state.k0+1; % starting symbol index at the delay compared to the training sequence
for n = obj.K*state.k0+1:obj.K:obj.K*obj.training_length
m = m+1;
X_1 = data(obj.Ne(1)+n+(obj.K-1):-1:n+obj.K).';
[X_2,X_3] = calc_nl_vecs(X_1,ind_mat_2nd,ind_mat_3rd,norm_fac2,norm_fac3,delta_2,delta_3,cplx);
D_1 = ref(obj.Nb(1)-state.k0+m-2:-1:m-state.k0-1).';
[D_2,D_3] = calc_nl_vecs(D_1,ind_mat_DFE_2nd,ind_mat_DFE_3rd,norm_fac_DFE2,norm_fac_DFE3,delta_DFE2,delta_DFE3,cplx);
input_vec = [X_1;X_2;X_3];
reference_vec = [D_1;D_2;D_3];
error = e_dc + e.'*input_vec - b.'*reference_vec - ref_in(m-state.k0); % error = e_dc + e.'*input_vec - b.'*reference_vec - ref_in(m-state.k0);
if real(obj.FFEmu)
if obj.l1act
sgn_e = e;
sgn_e(e~=0) = e(e~=0)./abs(e(e~=0));
e = e - obj.rho*sgn_e./(1+epsilon*abs(e)) - error*input_vec*obj.FFEmu;
else
e = e - error*conj(input_vec)*obj.FFEmu; %e = e - error*conj(input_vec)*obj.FFEmu; %e = e - error*input_vec*obj.FFEmu;
end
else
if obj.l1act
sgn_e = e;
sgn_e(e~=0) = e(e~=0)./abs(e(e~=0));
e = e - obj.rho*sgn_e./(1+epsilon*abs(e)) - error*input_vec/(input_vec.'*input_vec);
else
e = e - error*input_vec/(input_vec.'*input_vec);
end
end
% e_save(:,save_ind) = e;
% save_ind = save_ind+1;
e_dc = e_dc - obj.dcmu*error;
if obj.Nb(1) > 0
b = b + obj.DFEmu*error*reference_vec; % Seems like normalized DFE has worse performance
end
end
end
%%
% Plot the intermediate coefficients after training mode
state.b = b(1:obj.Nb(1));
state.b2 = b(obj.Nb(1)+1:obj.Nb(1)+Nb2);
state.b3 = b(obj.Nb(1)+Nb2+1:end);
state.e = e(1:obj.Ne(1));
state.e2 = e(obj.Ne(1)+1:obj.Ne(1)+N2);
state.e3 = e(obj.Ne(1)+N2+1:end);
if obj.plottrain
figure(8052)
subplot(2,3,1); stem(abs(state.e),'Markersize',2);
title('FFE coeff linear')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
subplot(2,3,2); stem(state.e2,'Markersize',2);
title('FFE coeff nl 2nd')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
subplot(2,3,3); stem(state.e3,'Markersize',2);
title('FFE coeff nl 3rd')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
subplot(2,3,4);stem(state.b,'Markersize',2);
title('DFE coeff linear')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
subplot(2,3,5);stem(state.b2,'Markersize',2);
title('DFE coeff nl 2nd')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
subplot(2,3,6);stem(state.b3,'Markersize',2);
title('DFE coeff nl 3rd')
xlabel('coefficient index'); ylabel('value'); set(gca,'Fontsize',12)
set(gcf,'Position',[200 500 700 400])
end
if obj.l1act
neg_lin = find(abs(state.e) < obj.thres(1));
neg_2nd = find(abs(state.e2) < obj.thres(2));
neg_3rd = find(abs(state.e3) < obj.thres(3));
neg = [neg_lin;neg_2nd+obj.Ne(1);neg_3rd+obj.Ne(1)+N2]; % indices of the neglected coefficients
rel_lin = find(abs(state.e) >= obj.thres(1));
rel_2nd = find(abs(state.e2) >= obj.thres(2));
rel_3rd = find(abs(state.e3) >= obj.thres(3));
state.coeff_number = length(rel_lin)+2*length(rel_2nd)+3*length(rel_3rd);
rel = [rel_lin;rel_2nd+obj.Ne(1);rel_3rd+obj.Ne(1)+N2]; % indices of the relevant coefficients
e(neg) = 0;
ind_mat_2nd(neg_2nd,:) = [];
ind_mat_3rd(neg_3rd,:) = [];
end
%% decision directed mode
if ~obj.DB_aim
constellation_in = unique(ref_in); % getting the symbol constellation from reference data
else
if obj.M == 2
constellation_in = [-3 -2 -1 0 1 2 3]/sqrt(5)*2;
elseif obj.M == 2.5
constellation_in = [-5 -4 -3 -2 -1 0 1 2 3 4 5]/sqrt(10)*2;
elseif obj.M == 3
constellation_in = [-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7]/sqrt(21)*2;
else
constellation_in = unique(ref_in);
end
end
state.constellation_in = constellation_in;
if obj.l1act
coeff = [e(rel);b]; % combine FFE and DFE coefficient vectors for DD mode
else
coeff = [e;b];
end
for dd_loop = 1:obj.dd_loops
m = 0;
output_vec = zeros(1,floor(length(data_in)/obj.K)); % initilaization of the output vector
dd_DFE = zeros(obj.Nb(1),1);
D_2 = zeros(Nb2,1);
D_3 = zeros(Nb3,1);
if all(obj.mu == obj.mu(1))
mu_mat = obj.mu(1);
else
if obj.l1act
mu_mat = diag([ones(1,length(rel_lin))*obj.mu(1) ones(1,length(rel_2nd))*obj.mu(2) ones(1,length(rel_3rd))*obj.mu(3) ones(1,obj.Nb)*obj.mu(4)]);
else
mu_mat = diag([ones(1,obj.Ne(1))*obj.mu(1) ones(1,N2)*obj.mu(2) ones(1,N3)*obj.mu(3) ones(1,obj.Nb(1)+Nb2+Nb3)*obj.mu(4)]);
end
end
if obj.load_decisions
pathn = evalin('base','modeldir');
temp = load([pathn, 'MLSE_out', '.mat']) ;
eval(['dd_out_vals = temp.', 'a', ';']) ;
dd_out = zeros(size(data_in));
dd_out(1:2:length(data_in)) = dd_out_vals;
else
dd_out = zeros(size(data_in));
end
for k = 1:obj.K:length(data_in)
m=m+1; % Symbol index
X_1 = data(obj.Ne(1)+k-1:-1:k).';
[X_2,X_3] = calc_nl_vecs(X_1,ind_mat_2nd,ind_mat_3rd,norm_fac2,norm_fac3,delta_2,delta_3,cplx);
if obj.l1act
input_vec = [X_1(rel_lin);X_2;X_3;-dd_DFE;-D_2;-D_3];
else
input_vec = [X_1;X_2;X_3;-dd_DFE;-D_2;-D_3];
end
output_vec(m) = e_dc + input_vec.'*coeff;
if ~obj.load_decisions
[~,dd_idx] = min(abs(output_vec(m) - constellation_in)); % decision for closest constellation point
dd_out(k) = constellation_in(dd_idx);
end
if obj.Nb(1) > 0
dd_DFE(2:end) = dd_DFE(1:end-1);
dd_DFE(1) = dd_out(k);
if obj.error_free && m > state.k0
dd_DFE(1) = ref_in(m-state.k0);
end
[D_2,D_3] = calc_nl_vecs(dd_DFE,ind_mat_DFE_2nd,ind_mat_DFE_3rd,norm_fac_DFE2,norm_fac_DFE3,delta_DFE2,delta_DFE3,cplx);
end
% if dd_loop ~= 21
error = output_vec(m) - dd_out(k);
% else
% error = 0;
% end
coeff = coeff - mu_mat*error*conj(input_vec);
% e_save(:,save_ind) = coeff;
% save_ind = save_ind+1;
if mu_mat ~= 0
e_dc = e_dc - obj.dcmu*error;
end
end
end
end
end
function [X_2,X_3] = calc_nl_vecs(X_1,ind_mat_2,ind_mat_3,norm_fac2,norm_fac3,delta_2,delta_3,cplx)
% calculation of the vectors containing all combinations of input symbols
% of second and third order based on the linear symbols
if ind_mat_2(1) > 0
input_vec_se = X_1(delta_2:end)/norm_fac2;%(K*(k0-1):end)
X_2 = input_vec_se(ind_mat_2(:,1)).*input_vec_se(ind_mat_2(:,2));
else
X_2 = [];
end
if ind_mat_3(1) > 0
if cplx
input_vec_th = X_1(delta_3:end)/norm_fac3;
X_3 = input_vec_th(ind_mat_3(:,1)).*input_vec_th(ind_mat_3(:,2)).*conj(input_vec_th(ind_mat_3(:,3)));
else
input_vec_th = X_1(delta_3:end)/norm_fac3;
X_3 = input_vec_th(ind_mat_3(:,1)).*input_vec_th(ind_mat_3(:,2)).*input_vec_th(ind_mat_3(:,3));
end
else
X_3 = [];
end
end
function [ind_mat_2nd,ind_mat_3rd] = calc_ind(Ne2,N2,Ne3,N3,mode2nd,mode3rd,len_2nd,len_3rd,cplx)
if Ne2 > 0
ind_mat_2nd = NaN(N2,2);
count=1;
if mode2nd == 1
for t = 1:Ne2
for u = t:Ne2
ind_mat_2nd(count,:) = [t u];
count = count + 1 ;
end
end
elseif mode2nd == 2
for t = 1:Ne2
ind_mat_2nd(t,:) = [t t];
end
elseif mode2nd == 3
for t = 1:Ne2
for u = t:Ne2
if u-t<=len_2nd
ind_mat_2nd(count,:) = [t u];
count = count + 1 ;
end
end
end
elseif mode2nd == 4
for t = 1:Ne2
for u = t:Ne2
if u-t<=ceil(Ne2/2)
ind_mat_2nd(count,:) = [t u];
count = count + 1 ;
end
end
end
end
else
ind_mat_2nd = 0;
end
if Ne3 > 0
ind_mat_3rd = NaN(N3,3);
count=1;
if mode3rd == 1
if cplx
for t = 1:Ne3
for u = t:Ne3
for v = 1:Ne3
ind_mat_3rd(count,:) = [t u v];
count = count + 1 ;
end
end
end
else
for t = 1:Ne3
for u = t:Ne3
for v = u:Ne3
ind_mat_3rd(count,:) = [t u v];
count = count + 1 ;
end
end
end
end
elseif mode3rd == 2
for t = 1:Ne3
ind_mat_3rd(t,:) = [t t t];
end
elseif mode3rd == 3
for t = 1:Ne3
for u = t:Ne3
ind_mat_3rd(count,:) = [t t u];
if t ~= u
count = count + 1;
ind_mat_3rd(count,:) = [t u u];
end
count = count + 1;
end
end
elseif mode3rd == 4
for t = 1:Ne3
for u = t:Ne3
for v = u:Ne3
if u-t<=len_3rd && v-t<=len_3rd
ind_mat_3rd(count,:) = [t u v];
count = count + 1 ;
end
end
end
end
elseif mode3rd == 5
for t = 1:Ne3
for u = t:Ne3
if u-t<=len_3rd
ind_mat_3rd(count,:) = [t t u];
if t ~= u
count = count + 1;
ind_mat_3rd(count,:) = [t u u];
end
count = count + 1;
end
end
end
ind_mat_3rd2 = NaN(N3,3);
count = 1;
% for t = 1:Ne3
% ind_mat_3rd2(count,:) = [t t t];
% count = count + 1;
% end
for t = 1:Ne3
% ind_mat_3rd2(count,:) = [t t t];
% count = count + 1;
for u = t:min(Ne3,t+len_3rd)
for v = unique([t u])
ind_mat_3rd2(count,:) = [t v u];
count = count + 1;
% ind_mat_3rd2(count,:) = [t u u];
% count = count + 1;
end
end
end
end
else
ind_mat_3rd = 0;
end
end
function [ind_mat_2nd,ind_mat_3rd] = calc_DFE_ind(Ne2,N2,Ne3,N3)
if Ne2 > 0
ind_mat_2nd = NaN(N2,2);
count=1;
for t = 1:Ne2
for u = t:Ne2
ind_mat_2nd(count,:) = [t u];
count = count + 1 ;
end
end
else
ind_mat_2nd = 0;
end
if Ne3 > 0
ind_mat_3rd = NaN(N3,3);
count=1;
for t = 1:Ne3
for u = t:Ne3
for v = u:Ne3
ind_mat_3rd(count,:) = [t u v];
count = count + 1 ;
end
end
end
else
ind_mat_3rd = 0;
end
end
end
end

12
comm_tb.m
View File

@@ -17,7 +17,6 @@ fadc = 256e9;
% Simulation frequency in "analog domain"
fsimu = kover * fdac ;
%SIMULATE
for i = 1:log2(M)
@@ -32,7 +31,7 @@ Bits.signal = applyPulseShaping(Bits.signal,fsym,fdac);
awg = AWG('preset','M8196A','fdac',fdac,'kover',kover,'lpf_active',1);
awgSignal = awg.process_channel(Bits);
awgSignal = awg.process_channel(Bits.signal);
fil = Filter('filtdegree',4,"f_cutoff",50e9,"fsamp",fdac,"filterType",filtertypes.bessel_bilin);
filtered = fil.process(awgSignal);
@@ -62,6 +61,13 @@ scp = Scope("fsimu",fdac*kover,"fadc",fadc,...
scope_out = scp.process(phdiod_out2);
resample_out = resample(scope_out,fsym,fadc);
figure;
hold on
plot( nmlze(resample(shapedData,fadc,fdac)),'DisplayName','shapedData Data');
@@ -69,7 +75,7 @@ plot( nmlze(resample(awgSignal,fadc,fdac*kover)),'DisplayName','AWG Data');
plot( nmlze(scope_out),'DisplayName','scope out out');
hold off
resample_out = resample(scope_out,fsym,fadc);
% figure;