📄 minimax_jakes1.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) tau=linspace(0,0.2,N); Jo=sigma_0_2*besselj(0,2*pi*f_max*tau); c_i_n=sqrt(sigma_0_2)*sqrt(2/N_i(i))*ones(N_i(i),1); f_i_n=zeros(N_i(i),1);f_i_n1=zeros(N_i(i),1); Ni=N_i(i); save data Jo tau Ni c_i_n PLOT % Initial values: for ii=1:N_i(i) f_i_n(ii)=f_max*sin((pi/(2*N_i(i)))*(ii-1/2)); end xo=f_i_n; options = optimset('MaxIter',6); [x,fval]=fminimax('fun_Jakes1',xo,[],[],[],[],[],[],[],options); load x f_i_n=x; for ii=1:Ni f_i_n1(ii)=f_max*sin(pi*ii/(2*Ni)); %MEA end beitah(i)=2*pi^2*sum((c_i_n.*f_i_n).^2); beita(i)=2*(pi*f_max*sqrt(sigma_0_2))^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_max*sqrt(sigma_0_2))^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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