FFE with DC tap. But RLS does not work anymore
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@@ -25,6 +25,9 @@ classdef FFE < handle
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dd_mode % 1 or 0 to set DD-mode on or off
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mu_dd %weight update in dd mode
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epochs_dd
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dd_len_fraction
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mu_dc
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e_dc
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P % covariance matrix of rls
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@@ -55,6 +58,8 @@ classdef FFE < handle
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options.dd_mode = 1;
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options.mu_dd = 1e-5;
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options.epochs_dd = 5;
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options.dd_len_fraction = 0.25;
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options.mu_dc = 0;
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options.decide = false;
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@@ -69,6 +74,7 @@ classdef FFE < handle
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end
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obj.e = zeros(obj.order,1);
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obj.e_dc = 0;
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obj.error = 0;
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end
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@@ -80,6 +86,7 @@ classdef FFE < handle
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X = X.normalize("mode","rms");
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obj.constellation = unique(D.signal);
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obj.e_dc = 0;
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delta = 0.05;
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@@ -88,6 +95,7 @@ classdef FFE < handle
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if obj.optmize_mus
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obj.optimizeMus(X.signal,D.signal);
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obj.e = zeros(obj.order,1);
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obj.e_dc = 0;
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obj.P = (1/delta) * eye(obj.order);
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end
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@@ -101,7 +109,11 @@ classdef FFE < handle
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n = X.length;
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training = 0;
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showviz = 0;
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[signal,decision]=obj.equalize(X.signal, D.signal,obj.mu_dd,obj.epochs_dd,n,training,showviz);
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if obj.dd_mode
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n_dd = obj.ddLength(n);
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obj.equalize(X.signal, D.signal,obj.mu_dd,obj.epochs_dd,n_dd,training,showviz);
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end
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[signal,decision]=obj.applyCurrentTaps(X.signal,n);
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% Output Signal
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if obj.decide
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@@ -163,7 +175,7 @@ classdef FFE < handle
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U = x(obj.order+sample-1:-1:sample);
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y(symbol,1) = (obj.e.*mask).' * U; % Calculating output of LMS __ * |
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y(symbol,1) = obj.e_dc + (obj.e.*mask).' * U; % Calculating output of LMS __ * |
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if training
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d_hat(symbol,1) = d(symbol);
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@@ -217,6 +229,10 @@ classdef FFE < handle
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end
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if obj.mu_dc ~= 0
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obj.e_dc = obj.e_dc + obj.mu_dc * err(symbol);
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end
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end
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@@ -247,6 +263,28 @@ classdef FFE < handle
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end
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function [y,d_hat] = applyCurrentTaps(obj,x,N)
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x = [zeros(floor(obj.order/2),1); x; zeros(obj.order,1)];
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for sample = 1 : obj.sps : N
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symbol = (sample - 1) / obj.sps + 1;
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U = x(obj.order+sample-1:-1:sample);
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y(symbol,1) = obj.e_dc + obj.e.' * U;
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[~,symbol_idx] = min(abs(y(symbol) - obj.constellation));
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d_hat(symbol,1) = obj.constellation(symbol_idx);
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end
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end
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function N_dd = ddLength(obj,N)
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if isempty(obj.dd_len_fraction) || obj.dd_len_fraction <= 0 || obj.dd_len_fraction >= 1
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N_dd = N;
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return
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end
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N_dd = floor(N * obj.dd_len_fraction);
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N_dd = max(obj.sps,N_dd);
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N_dd = min(N,N_dd);
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end
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function optimizeMus(obj,x,d)
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switch obj.adaption_technique
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case adaption_method.lms
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@@ -256,12 +294,17 @@ classdef FFE < handle
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case adaption_method.rls
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mu_range = [0.98, 0.99999];
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end
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mu_dc_range = [1e-5, 1e-1];
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mu_tr_var = optimizableVariable("mu_tr",mu_range,"Transform","log");
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vars = mu_tr_var;
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if obj.dd_mode
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vars = [vars, optimizableVariable("mu_dd",mu_range,"Transform","log")];
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end
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optimize_mu_dc = obj.mu_dc ~= 0;
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if optimize_mu_dc
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vars = [vars, optimizableVariable("mu_dc",mu_dc_range,"Transform","log")];
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end
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obj.mu_optimization_iter = 0;
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obj.mu_optimization = bayesopt(@(p)obj.muObjective(p,x,d),vars, ...
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"MaxObjectiveEvaluations",10, ...
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@@ -273,19 +316,39 @@ classdef FFE < handle
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if obj.dd_mode
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obj.mu_dd = obj.mu_optimization.XAtMinObjective.mu_dd;
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end
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fprintf("\nFFE mu opt done: mu_tr=%9.3e, mu_dd=%9.3e, metric=%9.3e\n", ...
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obj.mu_tr,obj.mu_dd,obj.mu_optimization.MinObjective);
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if optimize_mu_dc
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obj.mu_dc = obj.mu_optimization.XAtMinObjective.mu_dc;
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end
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objective_db = 10*log10(obj.mu_optimization.MinObjective);
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if obj.dd_mode && optimize_mu_dc
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fprintf("\nFFE mu opt done: mu_tr=%9.3e, mu_dd=%9.3e, mu_dc=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB\n", ...
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obj.mu_tr,obj.mu_dd,obj.mu_dc,obj.mu_optimization.MinObjective,objective_db);
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elseif obj.dd_mode
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fprintf("\nFFE mu opt done: mu_tr=%9.3e, mu_dd=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB\n", ...
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obj.mu_tr,obj.mu_dd,obj.mu_optimization.MinObjective,objective_db);
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elseif optimize_mu_dc
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fprintf("\nFFE mu opt done: mu_tr=%9.3e, mu_dc=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB\n", ...
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obj.mu_tr,obj.mu_dc,obj.mu_optimization.MinObjective,objective_db);
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else
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fprintf("\nFFE mu opt done: mu_tr=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB\n", ...
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obj.mu_tr,obj.mu_optimization.MinObjective,objective_db);
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end
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end
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function objective = muObjective(obj,params,x,d)
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old_debug = obj.save_debug;
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old_mu_dc = obj.mu_dc;
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obj.save_debug = 1;
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if isprop(params,"mu_dc")
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obj.mu_dc = params.mu_dc;
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end
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obj.e = zeros(obj.order,1);
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obj.e_dc = 0;
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obj.P = (1/0.05) * eye(obj.order);
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obj.debug_struct = struct();
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obj.equalize(x,d,params.mu_tr,obj.epochs_tr,obj.len_tr,1,0);
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if obj.dd_mode
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obj.equalize(x,d,params.mu_dd,obj.epochs_dd,numel(x),0,0);
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obj.equalize(x,d,params.mu_dd,obj.epochs_dd,obj.ddLength(numel(x)),0,0);
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objective = mean(obj.debug_struct.error(end,:),"omitnan");
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else
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objective = mean(obj.debug_struct.error_tr(end,:),"omitnan");
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@@ -293,15 +356,24 @@ classdef FFE < handle
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if ~isfinite(objective)
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objective = inf;
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end
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objective_db = 10*log10(objective);
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obj.mu_optimization_iter = obj.mu_optimization_iter + 1;
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if obj.dd_mode
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, mu_dd=%9.3e, metric=%9.3e", ...
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obj.mu_optimization_iter,params.mu_tr,params.mu_dd,objective);
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optimize_mu_dc = isprop(params,"mu_dc");
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if obj.dd_mode && optimize_mu_dc
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, mu_dd=%9.3e, mu_dc=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB", ...
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obj.mu_optimization_iter,params.mu_tr,params.mu_dd,params.mu_dc,objective,objective_db);
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elseif obj.dd_mode
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, mu_dd=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB", ...
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obj.mu_optimization_iter,params.mu_tr,params.mu_dd,objective,objective_db);
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elseif optimize_mu_dc
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, mu_dc=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB", ...
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obj.mu_optimization_iter,params.mu_tr,params.mu_dc,objective,objective_db);
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else
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, metric=%9.3e", ...
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obj.mu_optimization_iter,params.mu_tr,objective);
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fprintf("\rFFE mu opt %02d: mu_tr=%9.3e, MSE=%9.3e, MSE_dB=%7.2f dB", ...
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obj.mu_optimization_iter,params.mu_tr,objective,objective_db);
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end
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obj.save_debug = old_debug;
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obj.mu_dc = old_mu_dc;
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end
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end
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end
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