classdef FFE_plain < handle % Plain feed-forward equalizer with training, DD mode, and BER mu tuning. % % This class intentionally contains only the core FFE tap adaptation logic. % MPI-specific DC tracking, A1/A2 suppression, and delayed update buffers % stay in FFE and the MPI_reduction classes. properties sps order e e_tr error len_tr mu_tr epochs_tr adaption_technique dd_mode mu_dd epochs_dd dd_len_fraction P constellation decide save_debug = 0 debug_struct optmize_mus = 0 mu_optimization mu_optimization_iter = 0 mu_optimization_len plot_mu_optimization = 0 mu_optimization_fignum = 3010 end methods function obj = FFE_plain(options) arguments(Input) options.sps = 2 options.order = 15 options.len_tr = 4096 options.mu_tr = 0 options.epochs_tr = 5 options.adaption_technique adaption_method = adaption_method.lms options.dd_mode = 1 options.mu_dd = 1e-5 options.epochs_dd = 5 options.dd_len_fraction = 1 options.decide = false options.save_debug = 0 options.optmize_mus = 0 options.mu_optimization_len = 2^15 options.plot_mu_optimization = 0 options.mu_optimization_fignum = 3010 end fn = fieldnames(options); for n = 1:numel(fn) obj.(fn{n}) = options.(fn{n}); end obj.sps = floor(obj.sps); obj.order = floor(obj.order); obj.dd_len_fraction = min(max(obj.dd_len_fraction,0),1); obj.resetState(); end function [X,Noi] = process(obj, X, D) X = X.normalize("mode","rms"); obj.constellation = unique(D.signal); obj.resetState(); if obj.optmize_mus obj.optimizeMus(X.signal,D.signal); obj.resetState(); end training = true; showviz = false; obj.equalize(X.signal,D.signal,obj.mu_tr,obj.epochs_tr,obj.len_tr,training,showviz); obj.e_tr = obj.e; training = false; n = X.length; if obj.dd_mode [signal,decision] = obj.equalize(X.signal,D.signal,obj.mu_dd,obj.epochs_dd,n,training,showviz); else [signal,decision] = obj.equalize(X.signal,D.signal,0,1,n,training,showviz); end if obj.decide X.signal = decision; else X.signal = signal; end X.fs = D.fs; X = X.logbookentry([num2str(obj.order),' tap FFE']); Noi = X - D; end function [y,d_hat] = equalize(obj,x,d,mu,epochs,N,training,showviz) arguments obj x d mu epochs N training showviz end unused_showviz = showviz; %#ok x = x(:); d = d(:); N = obj.validSampleLength(N,x,d); n_symbols = N / obj.sps; y = zeros(n_symbols,1); d_hat = zeros(n_symbols,1); if n_symbols == 0 return end if isempty(obj.constellation) obj.constellation = unique(d); end decision_constellation = obj.constellation(:); x = [zeros(floor(obj.order/2),1); x; zeros(obj.order,1)]; lambda = mu; mask = ones(obj.order,1); maincursor_pos = ceil(length(obj.e)/2); adaption_code = obj.adaptionCode(); if mu == 0 || (~obj.dd_mode && ~training) epochs = 1; end debug_enabled = obj.save_debug; if debug_enabled obj.initializeDebug(n_symbols,training); end for epoch = 1:epochs symbol = 0; for sample = 1:obj.sps:N symbol = symbol + 1; grad = zeros(obj.order,1); update = zeros(obj.order,1); weight = 0; U = x(obj.order+sample-1:-1:sample); y(symbol,1) = (obj.e.*mask).' * U; if training d_hat(symbol,1) = d(symbol); else [~,symbol_idx] = min(abs(y(symbol) - decision_constellation)); d_hat(symbol,1) = decision_constellation(symbol_idx); end err = d_hat(symbol) - y(symbol); if mu ~= 0 && (training || obj.dd_mode) switch adaption_code case 1 weight = mu / ((U.'*U) + eps); grad = err * U; update = grad * weight; obj.e = obj.e + update; case 2 weight = mu; grad = err * U; update = grad * weight; obj.e = obj.e + update; case 3 denom = lambda + U.' * obj.P * U; k = (obj.P * U) / denom; update = k * err; obj.e = obj.e + update; obj.P = (1/lambda) * (obj.P - k * (U.' * obj.P)); end end if debug_enabled && epoch == 1 obj.debug_struct.error_first_epoch(1,symbol) = err * err'; end if debug_enabled && epoch == epochs error_power = err * err'; update_power = update.'*update ./ (sqrt((obj.e.'*obj.e) / obj.order) + eps); obj.debug_struct.error(1,symbol) = error_power; obj.debug_struct.main_cursor(1,symbol) = abs(obj.e(maincursor_pos)); obj.debug_struct.mu_nlms(1,symbol) = weight; obj.debug_struct.update_gradient(1,symbol) = grad.'*grad; if training obj.debug_struct.error_tr(1,symbol) = error_power; obj.debug_struct.update_tr(1,symbol) = update_power; else obj.debug_struct.error_dd(1,symbol) = error_power; obj.debug_struct.update(1,symbol) = update_power; end end end end end function optimizeMus(obj,x,d) [x_opt,d_opt,N_opt] = obj.optimizationSignals(x,d); switch obj.adaption_technique case adaption_method.lms mu_range = [1e-5, 1e-2]; case adaption_method.nlms mu_range = [1e-3, 5e-1]; case adaption_method.rls mu_range = [0.98, 0.99999]; otherwise builtin("error","FFE_plain:InvalidAdaptionTechnique", ... "Unsupported FFE adaption technique."); end vars = optimizableVariable("mu_tr",mu_range,"Transform","log"); if obj.dd_mode vars = [vars, optimizableVariable("mu_dd",mu_range,"Transform","log")]; end obj.mu_optimization_iter = 0; fprintf("FFE_plain mu opt uses %d samples / %d symbols\n",N_opt,numel(d_opt)); obj.mu_optimization = bayesopt(@(p)obj.muObjective(p,x_opt,d_opt),vars, ... "MaxObjectiveEvaluations",20, ... "AcquisitionFunctionName","expected-improvement-plus", ... "IsObjectiveDeterministic",false, ... "Verbose",0, ... "PlotFcn",[]); obj.mu_tr = obj.mu_optimization.XAtMinObjective.mu_tr; if obj.dd_mode obj.mu_dd = obj.mu_optimization.XAtMinObjective.mu_dd; fprintf("\nFFE_plain mu opt done: mu_tr=%9.3e, mu_dd=%9.3e, BER=%9.3e\n", ... obj.mu_tr,obj.mu_dd,obj.mu_optimization.MinObjective); else fprintf("\nFFE_plain mu opt done: mu_tr=%9.3e, BER=%9.3e\n", ... obj.mu_tr,obj.mu_optimization.MinObjective); end if obj.plot_mu_optimization obj.plotMuOptimization(); end end function objective = muObjective(obj,params,x,d) old_state = obj.captureObjectiveState(); cleanup = onCleanup(@()obj.restoreObjectiveState(old_state)); obj.save_debug = 0; obj.resetState(); N_tr = min(obj.len_tr,numel(x)); obj.equalize(x,d,params.mu_tr,obj.epochs_tr,N_tr,true,false); if obj.dd_mode [signal,~] = obj.equalize(x,d,params.mu_dd,obj.epochs_dd,numel(x),false,false); else [signal,~] = obj.equalize(x,d,0,1,numel(x),false,false); end [ber,errors] = obj.berObjective(signal,d); objective = ber; if ~isfinite(objective) objective = inf; end obj.mu_optimization_iter = obj.mu_optimization_iter + 1; if obj.dd_mode fprintf("\rFFE_plain mu opt %02d: mu_tr=%9.3e, mu_dd=%9.3e, BER=%9.3e, errors=%d", ... obj.mu_optimization_iter,params.mu_tr,params.mu_dd,ber,errors); else fprintf("\rFFE_plain mu opt %02d: mu_tr=%9.3e, BER=%9.3e, errors=%d", ... obj.mu_optimization_iter,params.mu_tr,ber,errors); end clear cleanup end function [x_opt,d_opt,N_opt] = optimizationSignals(obj,x,d,opt_len) if nargin < 4 opt_len = obj.mu_optimization_len; end N_available = min(numel(x),numel(d) * obj.sps); if isempty(opt_len) || opt_len <= 0 || isinf(opt_len) N_opt = N_available; else N_opt = min(N_available,max(obj.len_tr,opt_len)); end N_opt = obj.sps * floor(N_opt / obj.sps); N_opt = max(obj.sps,N_opt); n_symbols = N_opt / obj.sps; x_opt = x(1:N_opt); d_opt = d(1:n_symbols); end function [ber,errors] = berObjective(~,signal,d) M = numel(unique(d)); mapper = PAMmapper(M,0); eq_signal_sd = Signal(signal); eq_signal_hd = mapper.quantize(eq_signal_sd); tx_symbols = Signal(d); rx_bits = mapper.demap(eq_signal_hd); tx_bits = mapper.demap(tx_symbols); [~,errors,ber,~] = calc_ber(rx_bits.signal,tx_bits.signal, ... "skip_front",1000, ... "skip_end",0, ... "returnErrorLocation",1); end function plotMuOptimization(obj) if isempty(obj.mu_optimization) return end X = obj.mu_optimization.XTrace; objective = obj.mu_optimization.ObjectiveTrace; objective = objective(:); valid = isfinite(objective); if isempty(X) || ~any(valid) return end var_names = X.Properties.VariableNames; n_vars = numel(var_names); eval_idx = (1:numel(objective)).'; objective_plot = obj.positiveObjectiveForLogPlot(objective); best_plot = obj.positiveObjectiveForLogPlot(cummin(objective)); figure(obj.mu_optimization_fignum); clf; t = tiledlayout(2,2,"TileSpacing","compact","Padding","compact"); title(t,"FFE_plain Bayesian mu optimization"); nexttile; h_candidate = semilogy(eval_idx,objective_plot,"o-","DisplayName","candidate"); obj.addOptimizationDataTips(h_candidate,X,objective,objective_plot,eval_idx,var_names); hold on; h_best_trace = semilogy(eval_idx,best_plot,"k-","LineWidth",1.2,"DisplayName","best so far"); h_best_trace.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow("Evaluation",eval_idx); h_best_trace.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow("Best BER",best_plot); grid on; xlabel("Evaluation"); ylabel("BER"); legend("Location","best"); if n_vars < 2 return end pairs = nchoosek(1:n_vars,2); n_pair_plots = min(size(pairs,1),3); [~,best_idx] = min(objective); for pair_idx = 1:n_pair_plots nexttile; x_name = var_names{pairs(pair_idx,1)}; y_name = var_names{pairs(pair_idx,2)}; x_data = X.(x_name); y_data = X.(y_name); c_data = log10(objective_plot); h_scatter = scatter(log10(x_data),log10(y_data),35,c_data,"filled"); obj.addOptimizationDataTips(h_scatter,X,objective,objective_plot,eval_idx,var_names); hold on; h_best = plot(log10(x_data(best_idx)),log10(y_data(best_idx)),"kp", ... "MarkerSize",12, ... "MarkerFaceColor","y", ... "DisplayName","best"); obj.addOptimizationDataTips(h_best,X(best_idx,:),objective(best_idx),objective_plot(best_idx),eval_idx(best_idx),var_names); grid on; xlabel("log10(" + string(x_name) + ")"); ylabel("log10(" + string(y_name) + ")"); cb = colorbar; cb.Label.String = "log10(BER)"; title(string(x_name) + " vs " + string(y_name)); end end function addOptimizationDataTips(~,plot_handle,X,objective,objective_plot,eval_idx,var_names) plot_handle.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow("Evaluation",eval_idx); plot_handle.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow("BER",objective); plot_handle.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow("BER shown",objective_plot); for var_idx = 1:numel(var_names) var_name = var_names{var_idx}; plot_handle.DataTipTemplate.DataTipRows(end+1) = dataTipTextRow(var_name,X.(var_name)); end end function objective_plot = positiveObjectiveForLogPlot(~,objective) objective_plot = objective; positive_values = objective(isfinite(objective) & objective > 0); if isempty(positive_values) floor_value = 1e-12; else floor_value = min(positive_values) / 10; end objective_plot(~isfinite(objective_plot) | objective_plot <= 0) = floor_value; end function state = captureObjectiveState(obj) state.e = obj.e; state.e_tr = obj.e_tr; state.error = obj.error; state.P = obj.P; state.save_debug = obj.save_debug; state.debug_struct = obj.debug_struct; end function restoreObjectiveState(obj,state) obj.e = state.e; obj.e_tr = state.e_tr; obj.error = state.error; obj.P = state.P; obj.save_debug = state.save_debug; obj.debug_struct = state.debug_struct; end end methods (Access = private) function resetState(obj) obj.e = zeros(obj.order,1); obj.e_tr = zeros(obj.order,1); obj.error = 0; obj.P = (1/0.05) * eye(obj.order); obj.debug_struct = struct(); end function N = validSampleLength(obj,N,x,d) N_available = min(numel(x),numel(d) * obj.sps); N = min(N,N_available); N = obj.sps * floor(N / obj.sps); N = max(0,N); end function adaption_code = adaptionCode(obj) if obj.adaption_technique == adaption_method.nlms adaption_code = 1; elseif obj.adaption_technique == adaption_method.lms adaption_code = 2; elseif obj.adaption_technique == adaption_method.rls adaption_code = 3; else builtin("error","FFE_plain:InvalidAdaptionTechnique", ... "Unsupported FFE adaption technique."); end end function initializeDebug(obj,n_symbols,training) obj.debug_struct.error = NaN(1,n_symbols); obj.debug_struct.error_first_epoch = NaN(1,n_symbols); obj.debug_struct.main_cursor = NaN(1,n_symbols); obj.debug_struct.mu_nlms = NaN(1,n_symbols); obj.debug_struct.update_gradient = NaN(1,n_symbols); if training obj.debug_struct.error_tr = NaN(1,n_symbols); obj.debug_struct.update_tr = NaN(1,n_symbols); else obj.debug_struct.error_dd = NaN(1,n_symbols); obj.debug_struct.update = NaN(1,n_symbols); end end end end