My matrix are fully agreed. But when I press start button, cvx results show that place where cvx_end is not matrix-agreed which I have no idea why such command would have the error and no clue to correct it. Please help me to figure it out. Gratefully thanks!
the error shows below:
Here’s my input parameters:
%% Parameters Initialization %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% ‘1’ stands for source-relays; ‘2’ stands for relays-destination
N = 5; % array number of BS 维度必须为5，因为5条曲线
Nr = 6;
M = 10; % array number of STAR-RIS 10-50
M1=M/2;
K = 2; % number of users
SNR_dB = 10; % dBW
cof_L = 0.5; %coefficient of loop interference
cof_S = 0.5; %coefficient of self interference
cof =[cof_S;1];%select coeffient 21dimension
%%%%% noise
N0=10^((-174-30) / 10); %-174dBm
B=10^7; %10MHz
down_maxpower_all=20;
up_maxpower_all = 20;
% noise_maxpower_original = N0B; % % W
noise_maxpower_original = 10^((-70-30) / 10);%-80dBm
power_max_dBm=10;
%% Simulation loop %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
num_loop =100;
num_iterative = 10;
load(‘H_UI_ALL’);
load(‘H_IU_ALL’);%初始化信道
load(‘H_IE_ALL’);
load(‘H_IB_ALL’);
load(‘H_BI_ALL’);
load(‘H_BB_ALL’);
load(‘H_UU_ALL’);
%Rate=zeros(K,length(rate_min_dB),100);%初始化速率矩阵用于保存参数。
SumRate1=zeros(num_loop,num_iterative,length(down_maxpower_all));
for loop = 1 : num_loop %从1开始循环
outerflag=1;
T1=cputime;
noise_maxpower=1;%噪声功率归一化
%%% For different 自变量 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fprintf(’ loop | N | iteration \n’);
for i_p = 1 : length(down_maxpower_all)%不同N,M或不同发射功率
t0=cputime;
down_maxpower=down_maxpower_all;
up_maxpower=up_maxpower_all;
%%%%% Initialize Fi for different mode(ES,MS and TS ) %%%%%%%%%%%%%%%
H_IB=H_IB_ALL(1:Nr,1:M,loop)/sqrt(noise_maxpower_original);%信道归一化
H_BI=H_BI_ALL(1:M,1:N,loop)/sqrt(noise_maxpower_original);
H_IU=H_IU_ALL(1:M,1:K,loop)/sqrt(noise_maxpower_original);
H_UI=H_UI_ALL(1:K,1:M,loop)/sqrt(noise_maxpower_original);
H_IE=H_IE_ALL(1:M,1:K,loop)/sqrt(noise_maxpower_original);
H_BB=H_BB_ALL(1:N,1:Nr,loop)/sqrt(noise_maxpower_original);
H_UU=H_UU_ALL(1,1:K,loop)/sqrt(noise_maxpower_original);
%clear Phi_1 Phi_2 Phi_i3 Phi_4 Phi_6 W_1 W_3
%%%%% Initialize Fi for different mode(ES,MS and TS ) %%%%%%%%%%%%%%%
%%%%% ES模式参数初始化 %%%%%%%%%%%%%%%
Phi_temp=randn(2,M) + sqrt(-1)*randn(2,M);
Phi_tamp=rand(1,M);
Phi_ramp=1-Phi_tamp;
Angle=rad2deg(angle(Phi_temp));
Angle(Angle<0)=Angle(Angle<0)+360;
Ang=deg2rad(Angle);
Phi_amp=[sqrt(Phi_tamp) ;sqrt(Phi_ramp)];%幅度初始化
Phi_ini_ES=Phi_amp.*exp(1j*Ang);%/sqrt(trans_maxpower/(M*K));%幅度初始化，均匀分布
Phi_ini_eES=sqrt(0.5).*exp(1j*Ang);%幅度各为0.5,_equal_ES.
Phi1(:,:,1)=full(Phi_ini_ES);%ESmode下的Fi迭代值
%Phi4(:,:,1)=full(Phi_ini_eES);%equalESmode下Fi的迭代值
%%%%% MS模式参数初始化 %%%%%%%%%%%%%%%
Phi_Mtemp=randn(2,M1) + sqrt(-1)*randn(2,M1);
Phi_Mtamp=rand(1,M1);
Phi_Mramp=1-Phi_Mtamp;
Phi_Mamp=[sqrt(Phi_Mtamp) ;sqrt(Phi_Mramp)];
Angle2=rad2deg(angle(Phi_Mtemp));
Angle2(Angle2<0)=Angle2(Angle2<0)+360;
Ang2=deg2rad(Angle2);
Phi_ini_MS=Phi_Mamp.*exp(1j*Ang2);
Phi2(:,:,1)=full(Phi_ini_MS);
%%%%% TS模式参数初始化 %%%%%%%%%%%%%%%
Phi_ini_TS=exp(1j*Ang);
Phi3(:,:,1)=full(Phi_ini_TS);
%%%%% conventional RIS参数初始化 %%%%%%%%%%%%%%%
%Phi_ini_cRIS=exp(1j*angle(Phi_Mtemp));
%Phi6(:,:,1)=full(Phi_ini_cRIS);
%%%%% Initialize W %%%%%%%%%%%%%%%
W_ini=randn(N,K)*sqrt(down_maxpower/(N*K));
W1(:,:,1)=full(W_ini);
W3(:,:,1)=full(W_ini);
%%%%% Initialize F %%%%%%%%%%%%%%%
F_ini=randn(K,Nr)*sqrt(up_maxpower/(K*Nr))+1i*randn(K,Nr)*sqrt(up_maxpower/(K*Nr));
F1(:,:,1)=full(F_ini);
F3(:,:,1)=full(F_ini);
%%%%% Initialize a %%%%%%%%%%%%%%%
a_ini=randn(1,K)*sqrt(down_maxpower/(1*K));
a(:,1)=full(a_ini);
%%%%% Initialize uplink MMSE variable %%%%%%%%%%%%%%%
u_up(:,1)=ones(1,2);
%%%%% Initialize downlink MMSE variable %%%%%%%%%%%%%%%
u_dwn(:,1)=ones(1,2);
And here’s my code of the optimization problem:
function [Phi_opt,flag] = Generate_ES_Phi(cof,cof_L,N,Nr, M, K, H_IB, H_BI,H_BB,H_UU,…
H_IU, H_UI, H_IE,W_ini,F_ini, Phi_ini, u_up_ini,u_dwn_ini, …
a_ini,n,noise_maxpower, down_maxpower,up_maxpower)
%%% PCCP parameters initialization%%%%
Phi_total(:,:,1)=Phi_ini;
step=10;
scaler_max=max(200-n*20,100);
for n_outter=1:10
%scaler1=10;
scaler2=10;
Phi_innertemp=randn(2,M) + sqrt(-1)randn(2,M);%涓ょ鍙嶅皠绯绘暟锛屼絾鎬庝箞琛ㄧず鎴愪袱绉?
Angle2=rad2deg(angle(Phi_innertemp));
Angle2(Angle2<0)=Angle2(Angle2<0)+360;
Ang2=deg2rad(Angle2);
Phi_inner=exp(1jAng2);
Phi_innerv=Phi_inner;
for temp=1:20
cvx_begin %quiet
variable Phi(K,M) complex
variable elta(1,K)
variable deta(1,K)
variable x(K,M)
variable z(K,2*M)
expressions dwn(K) up(K) constrain(K) final_constra(K) POLY(K);
k=1:1:K;
u=K:-1:1;
for i=1:1:length(k)
if k(i)==1||u(i)==1
for L=1:1:K
a=0.5;
%%%%%%%%%%downlink term of MMSE%%%%%%%%%
dwnlk_ch(:,k(i))=u_dwn_ini(k(i))*diag(H_IU(:,k(i)))*H_BI(:,:)*W_ini(:,L);
dwnlk_poly(k(i))=sum(dwnlk_ch(:,k(i))'*dwnlk_ch(:,k(i)));
dwnlk_ini(k(i))=Phi_ini(k(i),:)*dwnlk_poly(k(i))*Phi_ini(k(i),:)';
dwnSI_ch(:,k(i))=u_dwn_ini(k(i))*diag(H_IU(:,k(i)))*H_UI(L,:)';
dwnSI_poly(k(i))=cof(k(i))*up_maxpower*sum(dwnSI_ch(:,k(i))'*dwnSI_ch(:,k(i)));
dwnSI_ini(k(i))=Phi_ini(k(i),:)*dwnSI_poly(k(i))*Phi_ini(k(i),:)';
dwn_rlpt(:,k(i))=u_dwn_ini(k(i))*diag(H_IU(:,k(i)))*H_BI(:,:)*W_ini(:,k(i));
dwn_const(k(i))=noise_maxpower*cof_L*up_maxpower*H_UU(k(i))*H_UU(k(i))*u_dwn_ini(k(i))*u_dwn_ini(k(i));
dwn_aux_var(k(i))=1/(dwnlk_ini(k(i))+dwnSI_ini(k(i))-2*real(Phi_ini(k(i),:))*dwn_rlpt(:,k(i))+dwn_const(k(i))+1);
%%%%%%%%%%end%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%uplink term of MMSE%%%%%%%%%%
uplk_ch(:,k(i))=u_up_ini(k(i))*diag(H_UI(L,:))*H_IB(:,:)'*F_ini(k(i),:)';
uplk_poly(k(i))=up_maxpower*sum(uplk_ch(:,k(i))'*uplk_ch(:,k(i)));
uplk_ini(k(i))=Phi_ini(k(i),:)*uplk_poly(k(i))*Phi_ini(k(i),:)';
up_rlpt(:,k(i))=sqrt(up_maxpower)*u_up_ini(k(i))*diag(H_UI(k(i),:))*H_IB(:,:)'*F_ini(k(i),:)';
up_const(k(i))=noise_maxpower*u_up_ini(k(i))*u_up_ini(k(i))*F_ini(k(i),:)*F_ini(k(i),:)';
upLI_ch(k(i))=u_up_ini(k(i))*F_ini(k(i),:)*H_BB(:,:)'*W_ini(:,L);
upLI(k(i))=up_maxpower*sum(upLI_ch(k(i))*upLI_ch(k(i)));
upSI_ch(k(i))=u_up_ini(k(i))*F_ini(k(i),:)*H_IB(:,:)*H_BI(:,:)*W_ini(:,L);
upSI(k(i))=upSI_ch(k(i))*upSI_ch(k(i));
up_aux_var(k(i))=1/(uplk_ini(k(i))+upLI(k(i))+upSI(k(i))+up_const(k(i))-2*real(Phi_ini(k(i),:)*up_rlpt(:,k(i)))+1);
%%%%%%%%%%end%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%evesdroppers f(a) function%%%%%%%%%%%%
upeve_ch(:,k(i))=diag(H_IE(:,k(i)))*H_UI(L,:)';
upeve_poly(k(i))=up_maxpower*sum(upeve_ch(:,k(i))'*upeve_ch(:,k(i)));
dwneve_ch(:,k(i))=diag(H_IE(:,k(i)))*H_BI(:,:)*W_ini(:,L);
dwneve_poly(k(i))=sum(dwneve_ch(:,k(i))'*dwneve_ch(:,k(i)));
fx_const(k(i))=log(a_ini(k(i)))+1/log(2);
%%%%%%%%%end%%%%%%%%%%%%%%
%%%%%%%%%constrains%%%%%%%%%%%%%%
dwn_costri(:,k(i))=diag(H_IE(:,k(i)))*H_BI(:,:)*W_ini(:,u(i));
dwn_cost(k(i))=dwn_costri(:,k(i))'*dwn_costri(:,k(i));
dwn(k(i))=Phi(k(i),:)*dwn_cost(k(i))*Phi_ini(k(i),:)';
dwn_ini(k(i))=Phi_ini(k(i),:)*dwn_cost(k(i))*Phi_ini(k(i),:)';
up_constri(:,k(i))=diag(H_IE(:,k(i)))*H_UI(u(i),:)';
up_cons(k(i))=up_maxpower*up_constri(:,k(i))'*up_constri(:,k(i));
up(k(i))=Phi(u(i),:)*dwn_cost(k(i))*Phi_ini(u(i),:)';
up_ini(k(i))=Phi_ini(u(i),:)*dwn_cost(k(i))*Phi_ini(u(i),:)';
constrain(k(i))=dwn(k(i))+up(k(i))+noise_maxpower;
constrain_ini(k(i))=dwn_ini(k(i))+up_ini(k(i))+noise_maxpower;
final_constra(k(i))=2*real(constrain(k(i)))-constrain_ini(k(i));
%%%%%%%%%end%%%%%%%%%%%%%%%
finalcons(k(i))=log(abs(dwn_aux_var(k(i))))+log(abs(up_aux_var(k(i))))+2-dwn_aux_var(k(i))*dwn_const(k(i))-up_aux_var(k(i))*(up_const(k(i))+upLI(k(i))+upSI(k(i)));
A_matrix(k(i))=dwn_aux_var(k(i))*(dwnlk_poly(k(i))+dwnSI_poly(k(i)))+up_aux_var(k(i))*uplk_poly(k(i));
B_matrix(:,k(i))=dwn_aux_var(k(i))*dwn_rlpt(:,k(i))+up_aux_var(k(i))*up_rlpt(:,k(i));
POLY(k(i))=-Phi(k(i),:)*real(A_matrix(k(i)))*Phi(k(i),:)'+2*real(Phi(k(i),:)* B_matrix(:,k(i)))+real(finalcons(k(i))+fx_const(k(i)))+elta(k(i));
%constrai_Phi(k(i))=pow_abs(Phi_innerv(k(i),:),2)-2*real(Phi(k(i),:)*Phi_innerv(k(i),:)');
end
end
end
maximize sum(a.*POLY)-scaler2*sum(sum(z))
subject to
k=1:1:K;
u=K:-1:1;
for i=1:length(k)
if k(i)==1||u(i)==1
elta(k(i))<= log(deta(k(i)));
deta(k(i))<=real(final_constra(k(i)));
for m=1:M
pow_abs(Phi(k(i),m),2) <= x(k(i),m)+z(k(i),m);
pow_abs(Phi_innerv(k(i),m),2)-2.*real(Phi(k(i),m)'.*Phi_innerv(k(i),m))<= z(k(i),M+m)-x(k(i),m);
x(k(i),m)+x(u(i),m)==1;
end
x(k(i),:)>=0;
z(k(i),:)>=0;
end
end
cvx_end
if cvx_status(1)=='S' || cvx_status(3)=='a'
Phi_innerv=Phi;
%gamma=0.8;
%a=[scaler2+step,scaler_max];
b=[scaler2+step,scaler_max];
%b=[scaler2*gamma,scaler_max];
%obj(temp+1)=-scaler1*sum(epselo)+sum(SINR_residual);
%scaler1=min(a);
%scaler1=min(a);
scaler2=min(b);
Phi_total(:,:,temp+1)=Phi;
%%%stop criterion%%%
stop(temp)=norm(Phi_total(:,:,temp+1)-Phi_total(:,:,temp),2);
stop_1(temp)=sum(sum(z));
%stop_2(temp)=sum(PT);
if stop_1(temp)<=0.001 && stop(temp)<=0.001
break;
end
end
end
if temp<50
break;
end
end
if cvx_status(1)==‘S’ || cvx_status(3)==‘a’
flag=1;
Phi_opt=Phi;
else
flag=0;
Phi_opt=ones(K,M);
end
end