Few more scripts to evaluate new ML-MLSE Equalizer - which is not better!!! :-(

This commit is contained in:
silas (home)
2025-11-03 08:17:39 +01:00
parent 09f345aa91
commit 39bc8243fc
7 changed files with 443 additions and 319 deletions

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@@ -1,213 +0,0 @@
function minimal_model_gpt
% Minimal binary IM/DD + ISI (M=3), AWGN. RX: ML-based MLSE vs classic MLSE
% Fixes:
% 1) Correct (s',s) labeling: s'=[x_{k-1},x_{k-2}], s=[x_k,x_{k-1}]
% 2) Window standardization (z-score) from pilot
% 3) Non-negative learned BM: c_hat = (w^T y_std + b).^2
% 4) Stable training loop bounds; BER length alignment
clear; clc; rng(1);
%% Parameters
Ktr = 4000; % pilot
Kte = 20000; % test
M = 3; % true channel memory
L = 3; % MLSE memory (states keep L-1 symbols)
h = [0.55 1.00 0.45]; % ISI FIR
EsN0dB= 12;
D = 5*L; % traceback (unused here; full TB)
Nwin = 7; % BM feature window
Delta = 0;
%% TX, channel, noise
map = @(b) 2*b-1;
b_tr = randi([0 1],Ktr,1); x_tr = map(b_tr);
b_te = randi([0 1],Kte,1); x_te = map(b_te);
convpad = @(x) filter(h,1,[x; zeros(M-1,1)]);
ytr_clean = convpad(x_tr);
yte_clean = convpad(x_te);
EsN0 = 10^(EsN0dB/10);
sigma2 = 1/(2*EsN0);
awgn = @(len) sqrt(sigma2)*randn(len,1);
y_tr = ytr_clean + awgn(length(ytr_clean));
y_te = yte_clean + awgn(length(yte_clean));
% remove tail to keep equal lengths
trim = M-1;
y_tr = y_tr(1:end-trim); x_tr = x_tr(1:end-trim); b_tr = b_tr(1:end-trim);
y_te = y_te(1:end-trim); x_te = x_te(1:end-trim); b_te = b_te(1:end-trim);
%% Trellis
nStates = 2^(L-1);
statesBin = de2bi(0:nStates-1,L-1,'left-msb');
symOfBit = @(bit) (2*bit-1);
% transitions (s'->s) with input symbol u in {±1}
trans = struct('sp',[],'s',[],'u',[],'ubit',[]);
idx=1;
for sp=1:nStates
prev_bits = statesBin(sp,:); % [x_{k-1}, x_{k-2}] as bits
for ubit=[0 1]
u = symOfBit(ubit);
nb = [prev_bits(1),ubit]; % new state s = [x_k, x_{k-1}]
s = bi2de(nb,'left-msb')+1;
trans(idx).sp=sp; trans(idx).s=s; trans(idx).u=u; trans(idx).ubit=ubit;
idx=idx+1;
end
end
nTrans = numel(trans);
%% Classic BM (Gaussian)
BM_classic = @(yk, sp, s, u) (( yk - h * [u, symOfBit(statesBin(sp,:))]')^2)/(2*sigma2);
%% ML-based BM: c_hat = (w^T y_std + b)^2 (nonnegative)
padN = Nwin-1;
pad = @(y) [zeros(Delta+padN,1); y; zeros(max(0,Nwin-1-Delta),1)];
y_tr_p = pad(y_tr); y_te_p = pad(y_te);
% standardize window features using pilot
Ytr_mat = im2col_sliding(y_tr_p, Nwin, Delta); % Nwin × T
mu_win = mean(Ytr_mat,2);
sd_win = std(Ytr_mat,0,2)+1e-8;
W = zeros(Nwin,nTrans);
b0= zeros(1,nTrans);
softmax = @(z) exp(z - max(z))./sum(exp(z - max(z)));
mu = 0.005; % LR
nEpoch = 6; % light training
Ttr = length(y_tr);
for ep=1:nEpoch
v = zeros(nStates,1); v(2:end)=Inf;
for k = L : min(Ttr - (L-1), Ttr) % need x(k-1), x(k-2)
% true (s',s):
sp_bits = [(x_tr(k-1)<0), (x_tr(k-2)<0)];
s_bits = [(x_tr(k) <0), (x_tr(k-1)<0)];
sp_star = bi2de(sp_bits,'left-msb')+1;
s_star = bi2de(s_bits ,'left-msb')+1;
% feature window (z-scored)
yw = y_tr_p(k-Delta : k-Delta+Nwin-1);
yw = (yw - mu_win) ./ sd_win;
% compute extended PM logits over all (s',s)
vtil = -inf(nTrans,1);
for t=1:nTrans
z = W(:,t).'*yw + b0(t);
c_hat = z*z; % (.)^2 nonnegative BM
vtil(t) = -( v(trans(t).sp) + c_hat);
end
pext = softmax(vtil).';
t_star = find([trans.sp]==sp_star & [trans.s]==s_star,1);
% CE gradient wrt c_hat, chain rule through square
delta = pext; delta(t_star)=delta(t_star)-1; delta = -delta; % sign for vtil=-(...)
for t=1:nTrans
z = W(:,t).'*yw + b0(t);
dc_dz = 2*z; % d(z^2)/dz
g = delta(t) * dc_dz; % L/z
W(:,t) = W(:,t) - mu * g * yw;
b0(t) = b0(t) - mu * g;
end
% PM update for next step
v_next = inf(nStates,1);
for t=1:nTrans
sp=trans(t).sp; s=trans(t).s;
z = W(:,t).'*yw + b0(t);
c_hat = z*z;
cand = v(sp)+c_hat;
if cand < v_next(s)
v_next(s)=cand;
end
end
v = v_next;
end
end
%% Decode (full-length traceback)
[xhat_ml, bhat_ml] = viterbi_decode(y_te, L, trans, @(k) feat_std(y_te_p,k,Nwin,Delta,mu_win,sd_win), ...
@(yk,sp,s,u) learnedBM(W,b0,yk,sp,s,u), 0);
[xhat_ex, bhat_ex] = viterbi_decode(y_te, L, trans, @(k) y_te(k), ...
@(yk,sp,s,u) BM_classic(yk,sp,s,u), 0);
%% BER (align by min length)
Lmin = min([length(bhat_ml), length(bhat_ex), length(b_te)]);
BER_ml = mean(bhat_ml(1:Lmin) ~= (b_te(1:Lmin)>0));
BER_ex = mean(bhat_ex(1:Lmin) ~= (b_te(1:Lmin)>0));
fprintf('BER (ML-based MLSE): %.3e\n', BER_ml);
fprintf('BER (classic MLSE ): %.3e\n', BER_ex);
end
% ----------------- helpers -----------------
function Y = im2col_sliding(y_pad, Nwin, Delta)
T = length(y_pad) - (Nwin-1) - Delta;
Y = zeros(Nwin,T);
for k=1:T
Y(:,k) = y_pad(k-Delta : k-Delta+Nwin-1);
end
end
function yw = feat_std(y_pad,k,Nwin,Delta,mu_win,sd_win)
yw = y_pad(k-Delta : k-Delta+Nwin-1);
yw = (yw - mu_win) ./ sd_win;
end
function c = learnedBM(W,b0,yw,sp,s,~)
% pick parameters of the (sp->s) transition
persistent map;
if isempty(map)
% build once: index of W/b0 for each (sp,s)
nStates = size(W,1)*0+1; %#ok<NASGU>
end
% linear scan is fine at this size:
% (use first match of (sp,s))
c = inf;
for t=1:size(W,2)
% suppose we stored (sp,s) order as in training; we cannot access here.
% Instead, pass the exact column via a small mapper (build each call):
end
% Faster: precompute a table outside; here we reconstruct like in training
% (rebuild tiny mapper)
persistent key_sp key_s
if isempty(key_sp)
key_sp = evalin('caller','[trans.sp]');
key_s = evalin('caller','[trans.s]');
end
t = find(key_sp==sp & key_s==s,1);
z = W(:,t).'*yw + b0(t);
c = z*z;
end
function [xhat, bhat] = viterbi_decode(y, L, trans, getFeat, BMfun, D_unused)
nStates = 2^(L-1);
T = length(y);
v = inf(nStates,T); v(:,1)=Inf; v(1,1)=0;
prev = zeros(nStates,T); in_u = zeros(nStates,T);
for k=1:T
if k==1, vprev=inf(nStates,1); vprev(1)=0; else, vprev=v(:,k-1); end
vcur = inf(nStates,1); pre=zeros(nStates,1); inb=zeros(nStates,1);
feat = getFeat(k); % either scalar y(k) or standardized window
for t=1:numel(trans)
sp=trans(t).sp; s=trans(t).s; u=trans(t).u;
ck = BMfun(feat, sp, s, u);
cand = vprev(sp)+ck;
if cand < vcur(s)
vcur(s)=cand; pre(s)=sp; inb(s)=u;
end
end
v(:,k)=vcur; prev(:,k)=pre; in_u(:,k)=inb;
end
[~,st]=min(v(:,T));
xhat=zeros(T,1);
for k=T:-1:1
xhat(k)=in_u(st,k);
st=prev(st,k); if st==0, st=1; end
end
bhat = xhat>0;
end

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@@ -18,13 +18,12 @@ laser_linewidth = 1e6;
% Channel
link_length = 0;
alpha = 0;
doub_mode = db_mode.no_db;
cols = linspecer(6);
rop = [-5];
rop = [-8];
bwl = [0.5:0.1:1.5];
fsym = [212:16:256].*1e9;
fsym = [160:16:256].*1e9;
% nonlin_mod = [0.5:0.01:0.75];
nonlin_mod = ones(size(fsym)).*0.5;
@@ -100,6 +99,7 @@ for r = 1:length(fsym)
%%
mu_lms = 0.0005;
pf_ncoeffs = 2;
eq_ = FFE("epochs_tr",5,"epochs_dd",5,"len_tr",2^13,"mu_dd",mu_lms,"mu_tr",mu_lms,"order",50,"sps",2,"dd_mode",1,"adaption_technique","lms");
pf_ = Postfilter("ncoeff",pf_ncoeffs,"useBurg",1);
@@ -116,49 +116,63 @@ for r = 1:length(fsym)
% Sequence Est
mlse_ = MLSE("duobinary_output",0,'M',M,'trellis_states',PAMmapper(M,0).levels,'scale_mode',0,'trellis_exclusion',0,'trellis_state_mode',2,'debug',0,'DIR',pf_.coefficients);
[y_mlse] = mlse_.process(y_white,Symbols);
Vit_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_mlse);
[~, errors, ber_mlse_normal, errpos] = calc_ber(Vit_bits.signal, Tx_bits.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
mlse_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_mlse);
[~, errors, ber_mlse_normal, errpos] = calc_ber(mlse_bits.signal, Tx_bits.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
fprintf('MLSE: %.2e \n',ber_mlse_normal);
showLevelHistogram(y_ffe,Symbols,"displayname",'ffe','fignum',111);
% showLevelHistogram(y_white,Symbols,"displayname",'ffe','fignum',111);
%% optimize length
mu_lms = 0.15;
eq = ML_MLSE("epochs_tr",5,"epochs_dd",5,"len_tr",2^14,...
"mu_dd",mu_lms,"mu_tr",mu_lms,"order",5,"sps",2,...
"traceback_depth",128,"L",2,"delta",0);
[y_ml_mlse,Vit_signal] = eq.process(Rx_sig_2sps,Symbols);
y_ml_mlse_ = y_ml_mlse;
y_ml_mlse_.signal = circshift(y_ml_mlse.signal,0);
Vit_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse_);
[~, errors, ber, errpos] = calc_ber(Vit_bits.signal, Tx_bits.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
fprintf('ML MLSE: %.2e \n',ber);
bursts = count_error_bursts(errpos, 10);
e = zeros(size(Vit_bits.signal));
e = zeros(size(mlse_bits.signal));
e(errpos) = 1;
figure(8)
stem(e)
%% RUN ML-Based MLSE
mu_lms = 0.15;
ml_mlse_equalizer = ML_MLSE("epochs_tr",50,"epochs_dd",10,"len_tr",Rx_sig_2sps.length-100,...
"mu_dd",mu_lms,"mu_tr",mu_lms,"order",15,"sps",2,...
"traceback_depth",128,"L",3,"delta",5);
%%
ml_mlse_equalizer.epochs_tr = 50;
ml_mlse_equalizer.epochs_dd = 1;
[y_ml_mlse,Vit_signal] = ml_mlse_equalizer.process(Rx_sig_2sps,Symbols);
ml_mlse_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse);
[~, errors, ber, errpos] = calc_ber(ml_mlse_bits.signal, Tx_bits.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
fprintf('ML MLSE BER: %.2e \n',ber);
bursts = count_error_bursts(errpos, 10);
e = zeros(size(ml_mlse_bits.signal));
e(errpos) = 1;
figure(8)
stem(e)
figure()
plot(ml_mlse_equalizer.ber)
beautifyBERplot
%% optimize delta
deltas = [-1:4];
ber = zeros(1,length(deltas));
parfor m = 1:numel(deltas)
mu_lms = 0.2;
eq = ML_MLSE("epochs_tr",2,"epochs_dd",5,"len_tr",2^13,...
ml_mlse_equalizer = ML_MLSE("epochs_tr",2,"epochs_dd",5,"len_tr",2^13,...
"mu_dd",mu_lms,"mu_tr",mu_lms,"order",4,"sps",1,...
"traceback_depth",128,"L",3,"delta",deltas(m));
[y_ml_mlse,Vit_signal] = eq.process(y_ffe,Symbols);
[y_ml_mlse,Vit_signal] = ml_mlse_equalizer.process(y_ffe,Symbols);
y_ml_mlse_ = y_ml_mlse;
y_ml_mlse_.signal = circshift(y_ml_mlse.signal,0);
Vit_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse_);
[~, errors, ber(m), errpos] = calc_ber(Vit_bits.signal, Tx_bits.signal, "skip_front", 0, "skip_end", 0, "returnErrorLocation", 1);
mlse_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse_);
[~, errors, ber(m), errpos] = calc_ber(mlse_bits.signal, Tx_bits.signal, "skip_front", 0, "skip_end", 0, "returnErrorLocation", 1);
fprintf('ML MLSE: %.2e \n',ber(m));
end

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@@ -0,0 +1,109 @@
ber_ffe = [];
ber_mlse = [];
ber_dbtgt = [];
ber_ml = [];
mlse = 1;
dbtgt = 1;
baudrates = [136:8:224].*1e9;
parfor i = 1:length(baudrates)
rop = -8;
M = 4;
[Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1] = standard_link_model("M",M,"fsym",baudrates(i),"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",1,"apply_pulsef",0);
% [Rx_sig_2sps_v2, Symbols_v2, Tx_bits_v2] = standard_link_model("M",M,"fsym",200e9,"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",2);
% [Rx_sig_2sps_v3, Symbols_v3, Tx_bits_v3] = standard_link_model("M",M,"fsym",200e9,"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",3);
%% FFE + MLSE
if mlse
pf_ncoeffs = 1;
ffe_order = [50, 0, 0];
mu_ffe = [0.0001, 0.0008, 0.001];
mu_dfe = 0.0004;
eq_ = EQ("Ne",ffe_order,"Nb",[0,0,0],"training_length",2^13,"training_loops",5,"dd_loops",5,"K",2,"DCmu",0.005,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
pf_ = Postfilter("ncoeff",pf_ncoeffs,"useBurg",1);
mlse_ = MLSE("duobinary_output",0,'M',M,'trellis_states',PAMmapper(M,0).levels,'scale_mode',2,'trellis_exclusion',0,'trellis_state_mode',2,'debug',0,'DIR',pf_.coefficients);
[ffe_results, mlse_results] = vnle_postfilter_mlse(eq_, pf_, mlse_, M, Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1, ...
"precode_mode", duob_mode,...
'showAnalysis', 0, ...
"postFFE", [],...
"eth_style_symbol_mapping", 0);
ber_ffe(i) = ffe_results.metrics.BER;
ber_mlse(i) = mlse_results.metrics.BER;
end
%% FFE DB tgt. + MLSE
if dbtgt
mlse_db_ = MLSE("DIR",[1,1],"duobinary_output",0,"M",M,"trellis_states",PAMmapper(M,0).levels,'scale_mode',2,'trellis_exclusion',0,'trellis_state_mode',3);
ffe_order = [50, 0, 0];
mu_ffe = [0.0001, 0.0008, 0.001];
mu_dfe = 0.0004;
eq_ = EQ("Ne",ffe_order,"Nb",[0,0,0],"training_length",2^13,"training_loops",5,"dd_loops",5,"K",2,"DCmu",0.005,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
dbt_results = duobinary_target(eq_, mlse_db_, M, Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1, ...
"precode_mode", duob_mode, ...
'showAnalysis', 0,...
"postFFE", []);
ber_dbtgt(i) = dbt_results.metrics.BER;
end
%%
mu_lms = 0.0005;
pf_ncoeffs = 2;
eq_ = FFE("epochs_tr",5,"epochs_dd",5,"len_tr",2^13,"mu_dd",mu_lms,"mu_tr",mu_lms,"order",50,"sps",2,"dd_mode",1,"adaption_technique","lms");
pf_ = Postfilter("ncoeff",pf_ncoeffs,"useBurg",1);
% FFE
[y_ffe, ffe_noise] = eq_.process(Rx_sig_2sps_v1, Symbols_v1);
% Postfilter
[y_white,whitened_noise] = pf_.process(y_ffe, ffe_noise);
%% RUN ML-Based MLSE
mu_lms = 0.15;
ml_mlse_equalizer = ML_MLSE("epochs_tr",30,"epochs_dd",1,"len_tr",2^15,...
"mu_dd",mu_lms,"mu_tr",mu_lms,"order",5,"sps",1,...
"traceback_depth",128,"L",3,"delta",0);
[y_ml_mlse,~] = ml_mlse_equalizer.process(y_white,Symbols_v1);
ml_mlse_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse);
[~, errors, ber_ml(i), errpos] = calc_ber(ml_mlse_bits.signal, Tx_bits_v1.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
fprintf('ML MLSE BER: %.2e \n',ber_ml(i));
% figure(11);hold on
% plot(1:numel(ml_mlse_equalizer.ber),ml_mlse_equalizer.ber);
% beautifyBERplot;
% xlim([1,numel(ml_mlse_equalizer.ber)])
end
%%
figure(6); hold on;
if mlse
plot(baudrates,ber_ffe,'DisplayName','FFE');
plot(baudrates,ber_mlse,'DisplayName','MLSE');
end
if dbtgt
plot(baudrates,ber_dbtgt,'DisplayName','DB tgt');
end
plot(baudrates,ber_ml,'DisplayName','ML-MLSE');
beautifyBERplot;
legend

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@@ -0,0 +1,95 @@
ber_ffe = [];
ber_mlse = [];
ber_dbtgt = [];
ber_ml = [];
mlse = 1;
dbtgt = 1;
rops = linspace(-15,-5,12);
parfor i = 1:length(rops)
rop = rops(i);
M = 4;
[Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1] = standard_link_model("M",M,"fsym",224e9,"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",1);
% [Rx_sig_2sps_v2, Symbols_v2, Tx_bits_v2] = standard_link_model("M",M,"fsym",200e9,"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",2);
% [Rx_sig_2sps_v3, Symbols_v3, Tx_bits_v3] = standard_link_model("M",M,"fsym",200e9,"rop",rop,"laser_linewidth",1300,"link_length_m",0,"random_key",3);
%% FFE + MLSE
if mlse
pf_ncoeffs = 1;
ffe_order = [50, 0, 0];
mu_ffe = [0.0001, 0.0008, 0.001];
mu_dfe = 0.0004;
eq_ = EQ("Ne",ffe_order,"Nb",[0,0,0],"training_length",2^13,"training_loops",5,"dd_loops",5,"K",2,"DCmu",0.005,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
pf_ = Postfilter("ncoeff",pf_ncoeffs,"useBurg",1);
mlse_ = MLSE("duobinary_output",0,'M',M,'trellis_states',PAMmapper(M,0).levels,'scale_mode',2,'trellis_exclusion',0,'trellis_state_mode',2,'debug',0,'DIR',pf_.coefficients);
[ffe_results, mlse_results] = vnle_postfilter_mlse(eq_, pf_, mlse_, M, Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1, ...
"precode_mode", duob_mode,...
'showAnalysis', 0, ...
"postFFE", [],...
"eth_style_symbol_mapping", 0);
ber_ffe(i) = ffe_results.metrics.BER;
ber_mlse(i) = mlse_results.metrics.BER;
end
%% FFE DB tgt. + MLSE
if dbtgt
mlse_db_ = MLSE("DIR",[1,1],"duobinary_output",0,"M",M,"trellis_states",PAMmapper(M,0).levels,'scale_mode',2,'trellis_exclusion',0,'trellis_state_mode',3);
ffe_order = [50, 0, 0];
mu_ffe = [0.0001, 0.0008, 0.001];
mu_dfe = 0.0004;
eq_ = EQ("Ne",ffe_order,"Nb",[0,0,0],"training_length",2^13,"training_loops",5,"dd_loops",5,"K",2,"DCmu",0.005,"DDmu",[mu_ffe mu_dfe],"DFEmu",0.005,"FFEmu",0,"plotfinal",0,"ideal_dfe",1);
dbt_results = duobinary_target(eq_, mlse_db_, M, Rx_sig_2sps_v1, Symbols_v1, Tx_bits_v1, ...
"precode_mode", duob_mode, ...
'showAnalysis', 0,...
"postFFE", []);
ber_dbtgt(i) = dbt_results.metrics.BER;
end
%% RUN ML-Based MLSE
mu_lms = 0.15;
ml_mlse_equalizer = ML_MLSE("epochs_tr",30,"epochs_dd",1,"len_tr",2^14,...
"mu_dd",mu_lms,"mu_tr",mu_lms,"order",4,"sps",2,...
"traceback_depth",128,"L",2,"delta",0);
[y_ml_mlse,~] = ml_mlse_equalizer.process(Rx_sig_2sps_v1,Symbols_v1);
ml_mlse_bits = PAMmapper(M, 0, "eth_style", 0).demap(y_ml_mlse);
[~, errors, ber_ml(i), errpos] = calc_ber(ml_mlse_bits.signal, Tx_bits_v1.signal, "skip_front", 10, "skip_end", 10, "returnErrorLocation", 1);
fprintf('ML MLSE BER: %.2e \n',ber_ml(i));
% figure(11);hold on
% plot(1:numel(ml_mlse_equalizer.ber),ml_mlse_equalizer.ber);
% beautifyBERplot;
% xlim([1,numel(ml_mlse_equalizer.ber)])
end
%%
figure(3); hold on;
if mlse
plot(rops,ber_ffe,'DisplayName','FFE');
plot(rops,ber_mlse,'DisplayName','MLSE');
end
if dbtgt
plot(rops,ber_dbtgt,'DisplayName','DB tgt');
end
plot(rops,ber_ml,'DisplayName','ML-MLSE');
beautifyBERplot;
legend

View File

@@ -0,0 +1,95 @@
function [Rx_sig_2sps,Symbols,Tx_bits] = standard_link_model(options)
% STANDARD_LINK_MODEL Basic IM/DD link simulation
% Rx_sig_2sps = standard_link_model(...optional args...)
%
% All arguments are optional and default to standard parameters
% if not provided.
arguments
% --- Transmitter settings ---
options.M (1,1) double = 4
options.apply_pulsef (1,1) logical = true
options.fdac (1,1) double = 256e9
options.fadc (1,1) double = 256e9
options.random_key (1,1) double = 2
options.rcalpha (1,1) double = 0.05
options.kover (1,1) double = 8
options.vbias_rel (1,1) double = 0.5
options.u_pi (1,1) double = 3.2
options.laser_wavelength (1,1) double = 1310
options.laser_linewidth (1,1) double = 1e6
% --- Channel parameters ---
options.link_length_m (1,1) double = 0
options.rop (1,:) double = -5
options.fsym (1,:) double = (212:16:256)*1e9
options.doub_mode (1,1) db_mode = db_mode.no_db
% --- Debug ---
options.debug (1,1) logical = false
end
% --- Pulse former ---
Pform = Pulseformer("fsym",options.fsym,"fdac",4*options.fsym, ...
"pulse","rc","pulselength",16,"alpha",options.rcalpha);
% --- Transmitter source ---
[Digi_sig,Symbols,Tx_bits] = PAMsource( ...
"fsym",options.fsym,"M",options.M,"order",18,"useprbs",0, ...
"fs_out",options.fdac,"applyclipping",0,"clipfactor",1.5, ...
"applypulseform",options.apply_pulsef,"pulseformer",Pform, ...
"randkey",options.random_key,"db_precode",0,"db_encode",0, ...
"mrds_code",0,"mrds_blocklength",512, ...
"duobinary_mode",options.doub_mode).process();
% --- AWG driver ---
El_sig = M8199B("kover",options.kover).process(Digi_sig);
El_sig = El_sig.normalize("mode","oneone");
% --- E/O Modulation ---
vbias = -options.vbias_rel*options.u_pi;
Opt_sig = EML("mode",eml_mode.im_cosinus,"power",3, ...
"fsimu",El_sig.fs,"lambda",options.laser_wavelength, ...
"bias",vbias,"u_pi",options.u_pi,"linewidth",options.laser_linewidth, ...
"randomkey",options.random_key+1).process(El_sig);
% --- Fiber ---
Opt_sig = Fiber("fsimu",Opt_sig.fs,"fiber_length",options.link_length_m, ...
"alpha",0.3,"D",0,"lambda0",1310,"gamma",0,"Dslope",0.07).process(Opt_sig);
% --- Amplifier (ROP set) ---
Opt_sig = Amplifier("amp_mode","ideal_no_noise", ...
"gain_mode","output_power","amplification_db",options.rop).process(Opt_sig);
% --- Photodiode ---
PD_sig = Photodiode("fsimu",options.fdac*options.kover,"dark_current",2e-8, ...
"responsivity",1,"temperature",20,"nep",1.8e-11, ...
"randomkey",options.random_key).process(Opt_sig);
% --- Electrical LPF (receiver frontend) ---
rx_bwl = 70e9;
PD_sig = Filter('filtdegree',4,"f_cutoff",rx_bwl, ...
"fs",options.fdac*options.kover,"filterType",filtertypes.butterworth, ...
"active",true).process(PD_sig);
% --- Scope low-pass and sampling ---
Lp_scpe = Filter('filtdegree',4,"f_cutoff",110e9,"fs",options.fadc, ...
"filterType",filtertypes.butterworth,"active",true);
Scpe_sig = Scope("fsimu",options.fdac*options.kover,"fadc",options.fadc, ...
"delay",0,"fixed_delay",0,"filtertype",filtertypes.butterworth, ...
"samplingdelay",0,"rand_samplingdelay",0,"freq_offset",0, ...
"samp_jitter",0,"adcresolution",8,"quantbuffer",0.1, ...
'block_dc',1,'lpf_active',1,'H_lpf',Lp_scpe).process(PD_sig);
% --- Downsample to 2 sps ---
Scpe_sig_2sps = Scpe_sig.resample("fs_out",2*options.fsym);
[~,Scpe_cell,~,found_sync] = Scpe_sig_2sps.tsynch( ...
"reference",Symbols,"fs_ref",options.fsym,"debug_plots",0);
Rx_sig_2sps = Scpe_cell{1}.normalize("mode","rms");
end