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Generic_Optimization_2channel_wg.m
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%%% This is a program that controls 2 channels of signals from function generators, and measure the sideband signals generated by the time-varying meta-units in a rectangular waveguide
clear;
%%
warning on;
% close all open instruments
objs = instrfind;
fclose(objs)
%%
%%%% Arbitrary Function Generator connection and settings
%%%%%%%%%%%%%%%%%%% connect AFG
% assign visa of AFG
vFG = visa('ni','GPIB0::11::INSTR');
% define buffersize for output
vFG.outputbuffersize = 10000;
% connect to AFG
fopen(vFG);
%fprintf(vFG, '*IDN?') %%%
% define signal
% frequency
Freq=1*1e3;
% time step
dt=0.001/Freq;
% time
t=0:dt:1/Freq-dt;
%%%% Signal Analyzer connection and settings
vSA = visa('ni','GPIB0::21::INSTR');
vSA.inputbuffersize = 20000;
fopen(vSA);
% Show display window
fwrite(vSA, 'SYST:DISP:UPD ON');
% define central frequency
fwrite(vSA, 'FREQ:CENT 3.64 GHz');
% define frequency span
fwrite(vSA, 'FREQ:SPAN 60 MHz');
% define measured bandwidth
fwrite(vSA, 'BAND 40 kHz');
% define video bandwidth
fwrite(vSA, 'BAND:VIDEO 100 kHz');
% number of sweep point
num_points = 601;
fprintf(vSA, 'SWEEP:POINTS %d\n', num_points);
% define data type as ASCII
fwrite(vSA, 'FORM ASCII');
% first point of harmonic peak
n_1=1;
% seperation between harmonic peak
dn=20;
% final point of harmonic peak
n_end=num_points-n_1+1;
% peak position in the measured data array
peakposition=n_1:dn:n_end;
% maximum order of harmonics
nmax=(length(peakposition)-1)/2;
% define which objective harmonic to be optimized
n_objhm=nmax; % corresponds to -1 order
%%%%%%% create session to control switch USB6525
% Add digital output channel
sUSB=daq.createSession('ni');
addDigitalChannel(sUSB,'Dev1','port0/line0','OutputOnly');
addDigitalChannel(sUSB,'Dev1','port0/line1','OutputOnly');
%%%%%%% control of signal generator HP-8637B
%
vSG = visa('ni','GPIB0::19::INSTR');
vSG.inputbuffersize = 10000;
fopen(vSG);
%
% power of CW signal in dBm
power_dbm=-3;
% frequency of CW signal
cwfr=3.64;
Fun_SG8673B(vSG,cwfr,power_dbm);
%fclose(vSG);
%%
%A test of randomly changed waveforms and the corresponding spectra
flag_test=0;
if flag_test==1
tic
for n=1:5
% amplitude of coefficient
a1=1; a2=1.0;
% phase
ph1=0; ph2=pi/3*random('unif',-1,1);
% signal components
signal_1=a1*sin(2*pi*Freq*t+ph1)+random('unif',-1,1)*sin(2*pi*2*Freq*t+2*ph1);
signal_2=a2*sin(2*pi*Freq*t+ph2)+random('unif',-1,1)*sin(2*pi*2*Freq*t+2*ph2);
% normalized signal to maximum amplitude 1
signal_1n=1.*signal_1./max(abs(signal_1));
signal_2n=1.*signal_2./max(abs(signal_2));
% Vpp amplitude and offset of output voltage
am1=2;am2=2
offset1=2.2;offset2=2.1;
Fun_AFG(vFG,signal_1n,signal_2n,am1,am2,offset1,offset2);
%fclose(vFG);
% for S21
line0=1;line1=0;
USB6525(sUSB,line0,line1);
specS21(:,n)=Fun_SA(vSA,num_points);
% for S11
line0=0;line1=1;
USB6525(sUSB,line0,line1);
specS11(:,n)=Fun_SA(vSA,num_points);
end
toc
%%
xx=ones(num_points,n);
yy=ones(num_points,n);
for jj=1:n
yy(:,jj)=jj;
end
for ii=1:num_points
xx(ii,:)=ii;
end
figure(1);
subplot(1,2,1)
plot3(xx,yy,specS21(:,1:n));
subplot(1,2,2)
plot3(xx,yy,specS11(:,1:n));
hold off;
end
%%
%%%%%%%%% OPTIMIZATION
% initial input parameters of waveform
% amplitude of modulation (offset tuned manually)
am1=3.5; am2=3.5;
% relative phase
phi1=0.*pi/180;
phi2=0.*pi/180;
% offset
offs1=2.5;offs2=2.0;
% if flag_idenwf==1; v1 and v2 have identical waveform, except offset, amplitude and phase
flag_idenwf=0;
%
flag_optimize=1;
%%% degree of mutation in amplitude and phases
mutam=0.025; % mutation of amplitude of waveform
mutco=0.025; % mutation of coefficient of harmonics of waveform
mutph=2.5.*pi/180; % mutation of phase of waveform
mutof=0.025; % mutation of offset
%%% parameters of optimization
n_od=8; %%% number of orders in modulation
N_GR=40; %%% number of generation
N_Geno=50; %%% number of genos
%nmax=8; %%%% number of orders of harmonics for HB analysis
n_round=6; %%% number of rounds of optimization
CWfreq=[3.64];
%
for n_cw=1:length(CWfreq)
cwfreq=CWfreq(n_cw);
FREQSA=['FREQ:CENT ',num2str(cwfreq),' GHz'];
fwrite(vSA, FREQSA);
Fun_SG8673B(vSG,cwfreq,power_dbm);
BestOBJ_allpass=zeros(n_round,1);
AS21_best_allpass=zeros(n_round,nmax*2+1);
AS11_best_allpass=zeros(n_round,nmax*2+1);
spec21_best_allpass=zeros(n_round,num_points);
spec11_best_allpass=zeros(n_round,num_points);
A1_best_allpass=zeros(n_round,n_od);
A2_best_allpass=zeros(n_round,n_od);
B1_best_allpass=zeros(n_round,n_od);
B2_best_allpass=zeros(n_round,n_od);
PH1_best_allpass=zeros(n_round,1);
PH2_best_allpass=zeros(n_round,1);
AM1_best_allpass=zeros(n_round,1);
AM2_best_allpass=zeros(n_round,1);
OF1_best_allpass=zeros(n_round,1);
OF2_best_allpass=zeros(n_round,1);
%
for pn=1:n_round
%%%% NA: new amplitude for different orders of modulation for different
%%%% genos, it is generated by hybridiing the best 4 and sorting the
%%%% other genos based on performance
NA1=zeros(N_Geno,n_od);NA2=zeros(N_Geno,n_od);
NB1=zeros(N_Geno,n_od);NB2=zeros(N_Geno,n_od);
NPH1=zeros(N_Geno,1);NPH2=zeros(N_Geno,1);
NAM1=zeros(N_Geno,1);NAM2=zeros(N_Geno,1);
NOF1=zeros(N_Geno,1);NOF2=zeros(N_Geno,1);
%%%% the matrix of sorted different orders of amplitude of modulation for different genos
%%%% according to the objective function
SortA1=zeros(n_od,N_Geno);SortA2=zeros(n_od,N_Geno);
SortB1=zeros(n_od,N_Geno);SortB2=zeros(n_od,N_Geno);
SortPH1=zeros(1,N_Geno);SortPH2=zeros(1,N_Geno);
SortAM1=zeros(1,N_Geno);SortAM2=zeros(1,N_Geno);
SortOF1=zeros(1,N_Geno);SortOF2=zeros(1,N_Geno);
%%% the objective function
BestOBJ=zeros(1,N_GR);
%%% the S parameters of different orders of harmonics for different genos
As21_Gn=zeros(N_Geno,nmax*2+1);
As11_Gn=zeros(N_Geno,nmax*2+1);
%%% spectra of different genos
spec11_Gn=zeros(N_Geno,num_points);
spec21_Gn=zeros(N_Geno,num_points);
%%% S parameters for the best geno in each generation
Best_As21=zeros(N_GR,nmax*2+1);
Best_As11=zeros(N_GR,nmax*2+1);
Best_spec21=zeros(N_GR,num_points);
Best_spec11=zeros(N_GR,num_points);
%%% amplitude and phase for the best geno in each generation
Best_A1=zeros(n_od,N_GR);
Best_A2=zeros(n_od,N_GR);
Best_B1=zeros(n_od,N_GR);
Best_B2=zeros(n_od,N_GR);
Best_PH1=zeros(1,N_GR);
Best_PH2=zeros(1,N_GR);
Best_AM1=zeros(1,N_GR);
Best_AM2=zeros(1,N_GR);
Best_OF1=zeros(1,N_GR);
Best_OF2=zeros(1,N_GR);
%%% amplitude of modulation harmonics for each geno
A1=zeros(N_Geno,n_od);B1=zeros(N_Geno,n_od);PH1=zeros(N_Geno,1);AM1=zeros(N_Geno,1);OF1=zeros(N_Geno,1);
A2=zeros(N_Geno,n_od);B2=zeros(N_Geno,n_od);PH2=zeros(N_Geno,1);AM2=zeros(N_Geno,1);OF2=zeros(N_Geno,1);
%%% best four genos
BestA1=zeros(4,n_od);BestA2=zeros(4,n_od);
BestB1=zeros(4,n_od);BestB2=zeros(4,n_od);
BestPH1=zeros(4,1);BestPH2=zeros(4,1);
BestAM1=zeros(4,1);BestAM2=zeros(4,1);
BestOF1=zeros(4,1);BestOF2=zeros(4,1);
%%% define the coefficient of input waveform
% for channel 1
a1_0=[1,random('unif',-mutco,mutco,1,n_od-1)]; %%%% initial amplitude for different orders
b1_0=[1,random('unif',-mutco,mutco,1,n_od-1)]; %%%% initial amplitude for different orders
ph1_0=phi1+0.*random('unif',-mutph,mutph,1,1); %%%% initial phase for different orders
% for channel 2
a2_0=[1,random('unif',-mutco,mutco,1,n_od-1)]; %%%% initial amplitude for different orders
b2_0=[1,random('unif',-mutco,mutco,1,n_od-1)]; %%%% initial amplitude for different orders
ph2_0=phi2+random('unif',-mutph,mutph,1,1); %%%% initial phase for different orders
am1_0=am1.*(1+random('unif',-mutam,mutam,1,1));
am2_0=am2.*(1+random('unif',-mutam,mutam,1,1));
offs1_0=offs1.*(1+random('unif',-mutof,mutof,1,1))+random('unif',-mutof,mutof,1,1);
offs2_0=offs2.*(1+random('unif',-mutof,mutof,1,1))+random('unif',-mutof,mutof,1,1);
%
%%%%% Generation
for n_gr=1:1:N_GR
%%%%% Geno
for n_geno=1:1:N_Geno
%%% for the second generation use new genos formed based on the last
%%% generation
if n_gr>1
a1_0=NA1(n_geno,:); a2_0=NA2(n_geno,:);
b1_0=NB1(n_geno,:); b2_0=NB2(n_geno,:);
ph1_0=NPH1(n_geno,:); ph2_0=NPH2(n_geno,:);
am1_0=NAM1(n_geno,:);am2_0=NAM2(n_geno,:);
offs1_0=NOF1(n_geno,:);offs2_0=NOF2(n_geno,:);
end
%%% for geno number larger than 5, introduce mutation
if n_geno>4
a1=a1_0+random('unif',-mutco,mutco,1,n_od);
a2=a2_0+random('unif',-mutco,mutco,1,n_od);
b1=b1_0+random('unif',-mutco,mutco,1,n_od);
b2=b2_0+random('unif',-mutco,mutco,1,n_od);
ph1=ph1_0+0.*random('unif',-mutph,mutph,1,1);
ph2=ph2_0+random('unif',-mutph,mutph,1,1);
am1=am1_0.*(1+random('unif',-mutam,mutam,1,1));
am2=am2_0.*(1+random('unif',-mutam,mutam,1,1));
offs1=offs1_0.*(1+random('unif',-mutof,mutof,1,1))+random('unif',-mutof,mutof,1,1);
offs2=offs2_0.*(1+random('unif',-mutof,mutof,1,1))+random('unif',-mutof,mutof,1,1);
% for geno number <4, use the hybrid geno without mutation
else
a1=a1_0;a2=a2_0;
b1=b1_0;b2=b2_0;
ph1=ph1_0;ph2=ph2_0;
am1=am1_0;am2=am2_0;
offs1=offs1_0;offs2=offs2_0;
end
% define the spectral component of modulation
for n=1:n_od
sign1_od(n,:)=a1(n).*sin(n.*(2*pi.*Freq.*t+ph1))+b1(n).*cos(n.*(2*pi.*Freq.*t+ph1));
if flag_idenwf==1
a2(n)=a1(n);b2(n)=b1(n);
end
sign2_od(n,:)=a2(n).*sin(n.*(2*pi.*Freq.*t+ph2))+b2(n).*cos(n.*(2*pi.*Freq.*t+ph2));
end
% total signal
signal1=sum(sign1_od);
signal2=sum(sign2_od);
% normalized signal
signal_1n=signal1./max(abs(signal1));
signal_2n=signal2./max(abs(signal2));
% write signal to AFG
Fun_AFG(vFG,signal_1n,signal_2n,am1,am2,offs1,offs2);
%fclose(vFG);
% read spectrum from SA
% for S21
line0=1;line1=0;
USB6525(sUSB,line0,line1);
spec21=Fun_SA(vSA,num_points);
As21=spec21(peakposition);
line0=0;line1=1;
USB6525(sUSB,line0,line1);
spec11=Fun_SA(vSA,num_points);
As11=spec11(peakposition);
As21_linear=10.^(As21./10);
As11_linear=10.^((As11+18.2)./10);
%figure(1)
%plot(spec);hold on;
%plot(peakposition,As21,'o');
%%%% objective function define the order of harmonic that requires maximum
%%%% efficiency. -As11_linear(nmax+1) is to substract 0
%%%% order if we only care single sideband
OBJ11(n_geno)=As21_linear(n_objhm)./As11_linear(n_objhm+2);
OBJ21(n_geno)=(As21_linear(n_objhm)+1.*As11_linear(n_objhm+2))./(sum(As21_linear+As11_linear));
OBJ(n_geno)=min(OBJ11(n_geno),1/OBJ11(n_geno)).*OBJ21(n_geno);
% Record the waveform parameters
A1(n_geno,:)=a1;B1(n_geno,:)=b1;PH1(n_geno,:)=ph1;AM1(n_geno,:)=am1;OF1(n_geno,:)=offs1;
A2(n_geno,:)=a2;B2(n_geno,:)=b2;PH2(n_geno,:)=ph2;AM2(n_geno,:)=am2;OF2(n_geno,:)=offs2;
% Record the spectrum
As21_Gn(n_geno,:)=As21;
As11_Gn(n_geno,:)=As11;
spec11_Gn(n_geno,:)=spec11;
spec21_Gn(n_geno,:)=spec21;
end
% sort the objective function
[Sobj,Cn]=sort(OBJ);
%%% Sort the parameter according the objective function achieved
SortA1(:,:)=A1(Cn,:).';
SortB1(:,:)=B1(Cn,:).';
SortPH1(:,:)=PH1(Cn,:).';
SortAM1(:,:)=AM1(Cn,:).';
SortOF1(:,:)=OF1(Cn,:).';
SortA2(:,:)=A2(Cn,:).';
SortB2(:,:)=B2(Cn,:).';
SortPH2(:,:)=PH2(Cn,:).';
SortAM2(:,:)=AM2(Cn,:).';
SortOF2(:,:)=OF2(Cn,:).';
% record the best spectrum for each generation
BestOBJ(n_gr)=Sobj(end);
Best_As21(n_gr,:)=As21_Gn(Cn(end),:);
Best_As11(n_gr,:)=As11_Gn(Cn(end),:);
Best_spec21(n_gr,:)=spec21_Gn(Cn(end),:);
Best_spec11(n_gr,:)=spec11_Gn(Cn(end),:);
% record the best parameter for each generation
Best_A1(:,n_gr)=SortA1(:,end);
Best_B1(:,n_gr)=SortB1(:,end);
Best_PH1(:,n_gr)=SortPH1(:,end);
Best_AM1(:,n_gr)=SortAM1(:,end);
Best_OF1(:,n_gr)=SortOF1(:,end);
Best_A2(:,n_gr)=SortA2(:,end);
Best_B2(:,n_gr)=SortB2(:,end);
Best_PH2(:,n_gr)=SortPH2(:,end);
Best_AM2(:,n_gr)=SortAM2(:,end);
Best_OF2(:,n_gr)=SortOF2(:,end);
%%% Choose the best four parameters for the current generation
BestA1(1:4,:)=SortA1(:,end-3:end).';
BestB1(1:4,:)=SortB1(:,end-3:end).';
BestPH1(1:4,:)=SortPH1(:,end-3:end).';
BestAM1(1:4,:)=SortAM1(:,end-3:end).';
BestOF1(1:4,:)=SortOF1(:,end-3:end).';
BestA2(1:4,:)=SortA2(:,end-3:end).';
BestB1(1:4,:)=SortB2(:,end-3:end).';
BestPH2(1:4,:)=SortPH2(:,end-3:end).';
BestAM2(1:4,:)=SortAM2(:,end-3:end).';
BestOF2(1:4,:)=SortOF2(:,end-3:end).';
%%% Generate new generation via hybridization
% waveform 1
NA1(1,:)=(BestA1(1,:)+BestA1(2,:))/2;NA1(2,:)=(BestA1(2,:)+BestA1(3,:))/2;
NA1(3,:)=(BestA1(3,:)+BestA1(4,:))/2;NA1(4,:)=(BestA1(4,:)+BestA1(1,:))/2;
NB1(1,:)=(BestB1(1,:)+BestB1(2,:))/2;NB1(2,:)=(BestB1(2,:)+BestB1(3,:))/2;
NB1(3,:)=(BestB1(3,:)+BestB1(4,:))/2;NB1(4,:)=(BestB1(4,:)+BestB1(1,:))/2;
NPH1(1,:)=(BestPH1(1,:)+BestPH1(2,:))/2;NPH1(2,:)=(BestPH1(2,:)+BestPH1(3,:))/2;
NPH1(3,:)=(BestPH1(3,:)+BestPH1(4,:))/2;NPH1(4,:)=(BestPH1(4,:)+BestPH1(1,:))/2;
NAM1(1,:)=(BestAM1(1,:)+BestAM1(2,:))/2;NAM1(2,:)=(BestAM1(2,:)+BestAM1(3,:))/2;
NAM1(3,:)=(BestAM1(3,:)+BestAM1(4,:))/2;NAM1(4,:)=(BestAM1(4,:)+BestAM1(1,:))/2;
NOF1(1,:)=(BestOF1(1,:)+BestOF1(2,:))/2;NOF1(2,:)=(BestOF1(2,:)+BestOF1(3,:))/2;
NOF1(3,:)=(BestOF1(3,:)+BestOF1(4,:))/2;NOF1(4,:)=(BestOF1(4,:)+BestOF1(1,:))/2;
NA1(5:end,:)=SortA1(:,5:end).';
NB1(5:end,:)=SortB1(:,5:end).';
NPH1(5:end,:)=SortPH1(:,5:end).';
NAM1(5:end,:)=SortAM1(:,5:end).';
NOF1(5:end,:)=SortOF1(:,5:end).';
% waveform 2
NA2(1,:)=(BestA2(1,:)+BestA2(2,:))/2;NA2(2,:)=(BestA2(2,:)+BestA2(3,:))/2;
NA2(3,:)=(BestA2(3,:)+BestA2(4,:))/2;NA2(4,:)=(BestA2(4,:)+BestA2(1,:))/2;
NB2(1,:)=(BestB2(1,:)+BestB2(2,:))/2;NB1(2,:)=(BestB2(2,:)+BestB2(3,:))/2;
NB2(3,:)=(BestB2(3,:)+BestB2(4,:))/2;NB1(4,:)=(BestB2(4,:)+BestB2(1,:))/2;
NPH2(1,:)=(BestPH2(1,:)+BestPH2(2,:))/2;NPH2(2,:)=(BestPH2(2,:)+BestPH2(3,:))/2;
NPH2(3,:)=(BestPH2(3,:)+BestPH2(4,:))/2;NPH2(4,:)=(BestPH2(4,:)+BestPH2(1,:))/2;
NAM2(1,:)=(BestAM2(1,:)+BestAM2(2,:))/2;NAM2(2,:)=(BestAM2(2,:)+BestAM2(3,:))/2;
NAM2(3,:)=(BestAM2(3,:)+BestAM2(4,:))/2;NAM2(4,:)=(BestAM2(4,:)+BestAM2(1,:))/2;
NA2(5:end,:)=SortA2(:,5:end).';
NB2(5:end,:)=SortB2(:,5:end).';
NPH2(5:end,:)=SortPH2(:,5:end).';
NAM2(5:end,:)=SortAM2(:,5:end).';
NOF2(5:end,:)=SortOF2(:,5:end).';
if n_gr>4
% sort all the best geno achieved in each generation so far
[S_bestobj,Cnbest]=sort(BestOBJ);
Bestsofar_A1=Best_A1(:,Cnbest);
Bestsofar_B1=Best_B1(:,Cnbest);
Bestsofar_PH1=Best_PH1(:,Cnbest);
Bestsofar_AM1=Best_AM1(:,Cnbest);
Bestsofar_OF1=Best_OF1(:,Cnbest);
Bestsofar_A2=Best_A2(:,Cnbest);
Bestsofar_B2=Best_B2(:,Cnbest);
Bestsofar_PH2=Best_PH2(:,Cnbest);
Bestsofar_AM2=Best_AM2(:,Cnbest);
Bestsofar_OF2=Best_OF2(:,Cnbest);
% choose the best 4 as source of mutation for the new
% generation, this can avoid degration if objective function
% becomes worse as the system evolves
NA1(5:8,:)= Bestsofar_A1(:,end-3:end).';
NB1(5:8,:)= Bestsofar_B1(:,end-3:end).';
NPH1(5:8,:)= Bestsofar_PH1(:,end-3:end).';
NAM1(5:8,:)= Bestsofar_AM1(:,end-3:end).';
NOF1(5:8,:)= Bestsofar_OF1(:,end-3:end).';
NA2(5:8,:)= Bestsofar_A2(:,end-3:end).';
NB2(5:8,:)= Bestsofar_B2(:,end-3:end).';
NPH2(5:8,:)= Bestsofar_PH2(:,end-3:end).';
NAM2(5:8,:)= Bestsofar_AM2(:,end-3:end).';
NOF2(5:8,:)= Bestsofar_OF2(:,end-3:end).';
end
if pn>1
NA1(9:9+pn-2,:)=A1_best_allpass(1:pn-1,:);
NB1(9:9+pn-2,:)=B1_best_allpass(1:pn-1,:);
NPH1(9:9+pn-2,:)=PH1_best_allpass(1:pn-1,:);
NAM1(9:9+pn-2,:)=AM1_best_allpass(1:pn-1,:);
NOF1(9:9+pn-2,:)=OF1_best_allpass(1:pn-1,:);
NA2(9:9+pn-2,:)=A2_best_allpass(1:pn-1,:);
NB2(9:9+pn-2,:)=B2_best_allpass(1:pn-1,:);
NPH2(9:9+pn-2,:)=PH2_best_allpass(1:pn-1,:);
NAM2(9:9+pn-2,:)=AM2_best_allpass(1:pn-1,:);
NOF2(9:9+pn-2,:)=OF2_best_allpass(1:pn-1,:);
end
% draw the best waveform and spectrum
for n=1:n_od
sign1_best(n,:)=Best_A1(n,n_gr).*sin(n.*(2*pi.*Freq.*t+Best_PH1(n_gr)))+Best_B1(n,n_gr).*cos(n.*(2*pi.*Freq.*t+Best_PH1(n_gr)));
sign2_best(n,:)=Best_A2(n,n_gr).*sin(n.*(2*pi.*Freq.*t+Best_PH2(n_gr)))+Best_B2(n,n_gr).*cos(n.*(2*pi.*Freq.*t+Best_PH2(n_gr)));
end
% total signal
signal1_best=sum(sign1_best);
signal2_best=sum(sign2_best);
% normalized signal
signal_1n_best=signal1_best./max(abs(signal1_best));
signal_2n_best=signal2_best./max(abs(signal2_best));
figure(110)
subplot(1,3,1)
plot(t,signal_1n_best,'r');hold on;
plot(t,signal_2n_best,'b');hold off;
subplot(1,3,2)
stem(Best_As21(n_gr,:),'*')
grid on
subplot(1,3,3)
stem(Best_As11(n_gr,:),'*')
grid on
figure (111)
plot(BestOBJ,'-o');
end
%
[MM,bn]=max(BestOBJ);
BestOBJ_allpass(pn,:)=MM;
AS21_best_allpass(pn,:)=Best_As21(bn,:);
AS11_best_allpass(pn,:)=Best_As11(bn,:);
spec21_best_allpass(pn,:)=Best_spec21(bn,:);
spec11_best_allpass(pn,:)=Best_spec11(bn,:);
A1_best_allpass(pn,:)=Best_A1(:,bn).';
B1_best_allpass(pn,:)=Best_B1(:,bn).';
PH1_best_allpass(pn,:)=Best_PH1(:,bn).';
AM1_best_allpass(pn,:)=Best_AM1(:,bn).';
OF1_best_allpass(pn,:)=Best_OF1(:,bn).';
A2_best_allpass(pn,:)=Best_A2(:,bn).';
B2_best_allpass(pn,:)=Best_B2(:,bn).';
PH2_best_allpass(pn,:)=Best_PH2(:,bn).';
AM2_best_allpass(pn,:)=Best_AM2(:,bn).';
OF2_best_allpass(pn,:)=Best_OF2(:,bn).';
for n=1:n_od
sign1_best_allpass(n,:)=A1_best_allpass(pn,n).*sin(n.*(2*pi.*Freq.*t+PH1_best_allpass(pn)))+B1_best_allpass(pn,n).*cos(n.*(2*pi.*Freq.*t+PH1_best_allpass(pn)));
sign2_best_allpass(n,:)=A2_best_allpass(pn,n).*sin(n.*(2*pi.*Freq.*t+PH2_best_allpass(pn)))+B2_best_allpass(pn,n).*cos(n.*(2*pi.*Freq.*t+PH2_best_allpass(pn)));
end
% total signal
signal1_best_allpass=sum(sign1_best_allpass);
signal2_best_allpass=sum(sign2_best_allpass);
% normalized signal
signal_1n_best_allpass(pn,:)=signal1_best_allpass./max(abs(signal1_best_allpass));
signal_2n_best_allpass(pn,:)=signal2_best_allpass./max(abs(signal2_best_allpass));
V1_allpass(pn,:)=0.5*AM1_best_allpass(pn,:).*signal_1n_best_allpass(pn,:)+OF1_best_allpass(pn,:);
V2_allpass(pn,:)=0.5*AM2_best_allpass(pn,:).*signal_2n_best_allpass(pn,:)+OF2_best_allpass(pn,:);
end
%%
BestOBJ_allpass_cwfr(:,:,n_cw)=BestOBJ_allpass;
AS21_best_allpass_cwfr(:,:,n_cw)=AS21_best_allpass;
AS11_best_allpass_cwfr(:,:,n_cw)=AS11_best_allpass;
spec21_best_allpass_cwfr(:,:,n_cw)=spec21_best_allpass;
spec11_best_allpass_cwfr(:,:,n_cw)=spec11_best_allpass;
A1_best_allpass_cwfr(:,:,n_cw)=A1_best_allpass;
A2_best_allpass_cwfr(:,:,n_cw)=A2_best_allpass;
B1_best_allpass_cwfr(:,:,n_cw)=B1_best_allpass;
B2_best_allpass_cwfr(:,:,n_cw)=B2_best_allpass;
PH1_best_allpass_cwfr(:,:,n_cw)=PH1_best_allpass;
PH2_best_allpass_cwfr(:,:,n_cw)=PH2_best_allpass;
AM1_best_allpass_cwfr(:,:,n_cw)=AM1_best_allpass;
AM2_best_allpass_cwfr(:,:,n_cw)=AM2_best_allpass;
OF1_best_allpass_cwfr(:,:,n_cw)=OF1_best_allpass;
OF2_best_allpass_cwfr(:,:,n_cw)=OF2_best_allpass;
V1_allpass_cwfr(:,:,n_cw)=V1_allpass;
V2_allpass_cwfr(:,:,n_cw)=V2_allpass;
[cm,ci]=max(BestOBJ_allpass)
a1=A1_best_allpass(ci,:);
a2=A2_best_allpass(ci,:);
b1=B1_best_allpass(ci,:);
b2=B2_best_allpass(ci,:);
ph1=PH1_best_allpass(ci,:);
ph2=PH2_best_allpass(ci,:);
am1=AM1_best_allpass(ci,:);
am2=AM2_best_allpass(ci,:);
offs1=OF1_best_allpass(ci,:);
offs2=OF2_best_allpass(ci,:);
DPH=[0:10:180].*pi/180;
for ndph=1:length(DPH)
dph=DPH(ndph);
for n=1:n_od
sign1_od(n,:)=a1(n).*sin(n.*(2*pi.*Freq.*t+ph1))+b1(n).*cos(n.*(2*pi.*Freq.*t+ph1));
sign2_od(n,:)=a2(n).*sin(n.*(2*pi.*Freq.*t+ph2+dph))+b2(n).*cos(n.*(2*pi.*Freq.*t+ph2+dph));
end
% total signal
signal1=sum(sign1_od);
signal2=sum(sign2_od);
% normalized signal
signal_1n=signal1./max(abs(signal1));
signal_2n=signal2./max(abs(signal2));
% write signal to AFG
Fun_AFG(vFG,signal_1n,signal_2n,am1,am2,offs1,offs2);
%fclose(vFG);
% read spectrum from SA
% for S21
line0=1;line1=0;
USB6525(sUSB,line0,line1);
spec21=Fun_SA(vSA,num_points);
As21_dph(ndph,:)=spec21(peakposition);
line0=0;line1=1;
USB6525(sUSB,line0,line1);
spec11=Fun_SA(vSA,num_points);
As11_dph(ndph,:)=spec11(peakposition);
As21_linear_dph(ndph,:)=10.^(As21_dph(ndph,:)./10);
As11_linear_dph(ndph,:)=10.^((As11_dph(ndph,:)+18.2)./10);
end
figure(13)
plot(DPH,As21_linear_dph(:,nmax),'r-*');hold on;
plot(DPH,As21_linear_dph(:,nmax+2),'r-o');hold on;
plot(DPH,As11_linear_dph(:,nmax),'b-*');hold on;
plot(DPH,As11_linear_dph(:,nmax+2),'b-o');hold off;
As21_dph_cwfr(:,:,n_cw)=As21_dph;
As11_dph_cwfr(:,:,n_cw)=As11_dph;
end
%%
fre_mod=[0.01,0.05,1,2];
for n_mod=1:length(fre_mod)
[cm,ci]=max(BestOBJ_allpass);
a1=A1_best_allpass(ci,:);
a2=A2_best_allpass(ci,:);
b1=B1_best_allpass(ci,:);
b2=B2_best_allpass(ci,:);
ph1=PH1_best_allpass(ci,:);
ph2=PH2_best_allpass(ci,:);
am1=AM1_best_allpass(ci,:);
am2=AM2_best_allpass(ci,:);
offs1=OF1_best_allpass(ci,:);
offs2=OF2_best_allpass(ci,:);
for n=1:n_od
sign1_od(n,:)=a1(n).*sin(n.*(2*pi.*Freq.*t+ph1))+b1(n).*cos(n.*(2*pi.*Freq.*t+ph1));
sign2_od(n,:)=a2(n).*sin(n.*(2*pi.*Freq.*t+ph2))+b2(n).*cos(n.*(2*pi.*Freq.*t+ph2));
end
% total signal
signal1=sum(sign1_od);
signal2=sum(sign2_od);
% normalized signal
signal_1n=signal1./max(abs(signal1));
signal_2n=signal2./max(abs(signal2));
% write signal to AFG
Fun_AFG(vFG,signal_1n,signal_2n,am1,am2,offs1,offs2);
%fclose(vFG);
% change modulation frequency of FG
AFGfreq=['FREQUENCY ',num2str(fre_mod(n_mod)),'E6'];
fprintf(vFG,AFGfreq);
% redefine spectral span of SA
frespan=30.*fre_mod(n_mod);
FRspan=['FREQ:SPAN ',num2str(frespan),' MHz'];
fwrite(vSA, FRspan);
bandwidth=10.*fre_mod(n_mod);
Bandwidth=['BAND ',num2str(bandwidth),' kHz'];
fwrite(vSA, Bandwidth);
% read spectrum from SA
% for S21
line0=1;line1=0;
USB6525(sUSB,line0,line1);
spec21=Fun_SA(vSA,num_points);
As21_modf(n_mod,:)=spec21(peakposition);
line0=0;line1=1;
USB6525(sUSB,line0,line1);
spec11=Fun_SA(vSA,num_points);
As11_modf(n_mod,:)=spec11(peakposition);
As21_linear_modf(n_mod,:)=10.^(As21_dph(n_mod,:)./10);
As11_linear_modf(n_mod,:)=10.^((As11_dph(n_mod,:)+18.2)./10);
end
%%
figure(9)
plot(fre_mod,As21_linear_modf(1:n_mod,nmax),'r*-');hold on;
plot(fre_mod,As21_linear_modf(1:n_mod,nmax+2),'ro-');hold on;
plot(fre_mod,As11_linear_modf(1:n_mod,nmax),'b*-');hold on;
plot(fre_mod,As11_linear_modf(1:n_mod,nmax+2),'b*-');hold off;
%%
As21_dph_cwfr_linear=10.^(As21_dph_cwfr./10);
As11_dph_cwfr_linear=10.^((As11_dph_cwfr+18.2)./10);
figure (113)
plot(BestOBJ_allpass,'-o');
figure (112)
subplot(1,2,1)
stem(10.^(AS21_best_allpass(5,:)./10),'-o');hold off;
subplot(1,2,2)
stem(10.^((AS11_best_allpass(5,:)+18.2)./10),'-o');hold off;
figure (111)
plot(BestOBJ,'-o');
%%
fr=-30:0.1:30;
np=6;nfr=1;
figure(99)
subplot(1,2,1)
plot(fr,10.^(spec21_best_allpass_cwfr(np,:,nfr)./10),'r');hold on
plot(fr,-10.^((spec11_best_allpass_cwfr(np,:,nfr)+18.2)./10),'b');hold off
figure(119)
plot(fr,spec21_best_allpass_cwfr(np,:,nfr),'r');hold on
plot(fr,spec11_best_allpass_cwfr(np,:,nfr)+18.84,'b');hold off
legend('forward','backward');
xlabel('N order')
ylabel('sideband power (dBm)')
grid on
%%
nfr=1
figure(13)
plot(DPH,As21_dph_cwfr_linear(:,nmax,nfr),'r-*');hold on;
plot(DPH,As21_dph_cwfr_linear(:,nmax+2,nfr),'r-o');hold on;
plot(DPH,As11_dph_cwfr_linear(:,nmax,nfr),'b-*');hold on;
plot(DPH,As11_dph_cwfr_linear(:,nmax+2,nfr),'b-o');hold off;
%%
for pn=1:5
for n=1:n_od
sign1_best_allpass(n,:)=A1_best_allpass(pn,n).*sin(n.*(2*pi.*Freq.*t+PH1_best_allpass(pn)))+B1_best_allpass(pn,n).*cos(n.*(2*pi.*Freq.*t+PH1_best_allpass(pn)));
sign2_best_allpass(n,:)=A2_best_allpass(pn,n).*sin(n.*(2*pi.*Freq.*t+PH2_best_allpass(pn)))+B2_best_allpass(pn,n).*cos(n.*(2*pi.*Freq.*t+PH2_best_allpass(pn)));
end
% total signal
signal1_best_allpass=sum(sign1_best_allpass);
signal2_best_allpass=sum(sign2_best_allpass);
% normalized signal
signal_1n_best_allpass(pn,:)=signal1_best_allpass./max(abs(signal1_best_allpass));
signal_2n_best_allpass(pn,:)=signal2_best_allpass./max(abs(signal2_best_allpass));
V1_allpass(pn,:)=0.5*AM1_best_allpass(pn,:).*signal_1n_best_allpass(pn,:)+OF1_best_allpass(pn,:);
V2_allpass(pn,:)=0.5*AM2_best_allpass(pn,:).*signal_2n_best_allpass(pn,:)+OF2_best_allpass(pn,:);
end
%%
n=5;
figure(99)
plot([V1_allpass(n,:),V1_allpass(n,:)]);hold on;
plot([V2_allpass(n,:),V2_allpass(n,:)]);hold off;
V2_exp=V2_allpass(5,:).';
V1_exp=V1_allpass(5,:).';
%save V2_exp_double_bi_correct.txt -ascii V2_exp
%save V1_exp_double_bi_correct.txt -ascii V1_exp