📄 minimax_gauss1.m
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N=100;f_max=91;sigma_0_2=1;N_i=[5 10 15 20 25 30 35 40 50 60 80];PLOT=0;beita=zeros(1,length(N_i));beitah=zeros(1,length(N_i));delta=zeros(1,length(N_i));beita1=zeros(1,length(N_i));beitah1=zeros(1,length(N_i));delta1=zeros(1,length(N_i));for i=1:length(N_i) Ni=N_i(i); f_c=sqrt(log(2))*f_max; kappa_c=f_max/f_c; F_list=[]; save F_list F_list tau_max=Ni/(2*kappa_c*f_c); tau=linspace(0,0.1,N); r_mm=sigma_0_2*exp(-(pi*f_c/sqrt(log(2))*tau).^2); f_i_n=zeros(Ni,1);f_i_n1=zeros(Ni,1); c_i_n=sqrt(sigma_0_2)*sqrt(2/Ni)*ones(Ni,1); for ii=1:Ni f_i_n(ii)=f_c/sqrt(log(2))*erfinv((2*ii-1)/(2*Ni)); end save data r_mm tau N_i c_i_n tau_max PLOT xo=f_i_n; options = optimset('MaxIter',10); [x,fval]=fminimax('fun_Gauss1',xo,[],[],[],[],[],[],[],options); load x f_i_n=sort(abs(x)); for ii=1:Ni f_i_n1(ii)=f_c/sqrt(log(2))*erfinv(0.9999999); %MEA end beitah(i)=2*pi^2*sum((c_i_n.*f_i_n).^2); beita(i)=2*(pi*f_c*sqrt(sigma_0_2))^2/log(2); delta(i)=abs(beita(i)-beitah(i))/beita(i); beitah1(i)=2*pi^2*sum((c_i_n.*f_i_n1).^2); beita1(i)=2*(pi*f_c*sqrt(sigma_0_2))^2/log(2); delta1(i)=abs(beita1(i)-beitah1(i))/beita1(i);endplot(N_i,delta,'*',N_i,delta1,'o'); xlabel('Ni');% ylabel('');% legend('minimax','MEA','MEDS');legend('minimax','MEA');
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