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Figs7_8_CCP_sumSE_functional_split72_onlySumRate.m
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Figs7_8_CCP_sumSE_functional_split72_onlySumRate.m
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seedAll = 1:30;
numberSetup = length(seedAll);
%Number of APs
L = 36;
%Number of antennas per AP
N = 4;
%Number of UEs in the network
K = 16;
%Number of DUs
W = 40;
SEAll = 4;
Axx = zeros(K,L,numberSetup);
Add = zeros(W,numberSetup);
Azz = zeros(L,numberSetup);
All = zeros(W,numberSetup);
Arho = zeros(K*L,numberSetup);
Aratee = zeros(K,numberSetup);
Bxx = zeros(K,L,numberSetup);
Bdd = zeros(W,numberSetup);
Bzz = zeros(L,numberSetup);
Bll = zeros(W,numberSetup);
Brho = zeros(K*L,numberSetup);
Bratee = zeros(K,numberSetup);
TotalPower = zeros(2,numberSetup);
for sss = 1:numberSetup
sss
rng(seedAll(sss))
%Number of channel realizations per setup
nbrOfRealizations = 500;
Nsmooth = 12;
Nslot = 16;
%Length of coherence block
tau_c = Nsmooth*Nslot;
%Length of pilot sequences
tau_p = 8;
%Compute the prelog factor assuming only downlink data transmission
preLogFactor = (tau_c-tau_p)/tau_c;
%Angular standard deviation in the local scattering model (in radians)
ASD_varphi = deg2rad(15); %azimuth angle
ASD_theta = deg2rad(15); %elevation angle
%Total uplink transmit power per UE (mW)
p = 100;
%Total downlink transmit power per AP (mW)
rho_tot = 1000;
%Generate one setup with UEs at random locations
[gainOverNoisedB,R,pilotIndex,D,D_small,APpositions,UEpositions] = generateSetup(L,K,N,tau_p,1,0,ASD_varphi,ASD_theta);
%Generate channel realizations, channel estimates, and estimation
%error correlation matrices for all UEs to the cell-free APs
[Hhat,H,B,C] = functionChannelEstimates(R,nbrOfRealizations,L,K,N,tau_p,pilotIndex,p);
% Full uplink power for the computation of precoding vectors using
% virtual uplink-downlink duality
p_full = p*ones(K,1);
[signal_LP_MMSE,signal2_LP_MMSE, scaling_LP_MMSE] = ...
functionComputeExpectationsV2(Hhat,H,D,C,nbrOfRealizations,N,K,L,p_full);
bk = zeros(L,K);
Ck = zeros(L,L,K,K);
%Go through all UEs
for k = 1:K
bk(:,k) = real(vec(signal_LP_MMSE(k,k,:)))./sqrt(scaling_LP_MMSE(:,k));
%Go through all UEs
for i = 1:K
%Compute the matrices in (7.26)
if i==k
Ck(:,:,k,k) = bk(:,k)*bk(:,k)';
else
Ck(:,:,k,i) = diag(1./sqrt(scaling_LP_MMSE(:,i)))...
*(vec(signal_LP_MMSE(k,i,:))...
*vec(signal_LP_MMSE(k,i,:))')...
*diag(1./sqrt(scaling_LP_MMSE(:,i)));
end
for j = 1:L
Ck(j,j,k,i) = signal2_LP_MMSE(k,i,j)/scaling_LP_MMSE(j,i);
end
end
end
%Take the real part (in the SINR expression,the imaginary terms cancel
%each other)
Ck = real(Ck);
bb = zeros(L*K,K);
CC = zeros(L*K,L*K,K);
CC2 = zeros(L*K,L*K,K);
for k = 1:K
for i = 1:K
CC((i-1)*L+1:i*L,(i-1)*L+1:i*L,k) = Ck(:,:,k,i);
end
CC2(:,:,k) = sqrtm(CC(:,:,k));
bb((k-1)*L+1:k*L,k) = vec(bk(:,k));
end
%%
gamma = 2^(SEAll/preLogFactor)-1;
PAP0 = 6.8*N;
DeltaTr = 4;
PONU = 7.7;
sigmaCool = 0.9;
POLT = 20;
Pdisp = 120;
Pproc0 = 20.8;
PRUproc0 = 20.8;
DeltaProc = 74;
DeltaRUProc = 74;
GOPSmax = 180;
fs = 30.72*10^6;
Ts = 71.4*10^(-6);
NDFT = 2048;
Nused = 1200;
Nbits = 12;
Cfilter = 40*N*fs/(10^9);
CDFT = (8*N*NDFT*log2(NDFT)/Ts)/(10^9);
SLP = Cfilter + CDFT;
SE0 = SEAll;
CprecodingAP = Nused/(Ts*tau_c*10^9)*...
((8*N*tau_p+8*N^2)*tau_p + (4*N^2+4*N)*tau_p + 8*(N^3-N)/3);
CotherAP = ((Nbits/16)^(1.2))*(1.3*N) ...
+ ((Nbits/16)^(0.2))*(2.7*sqrt(N));
ZLP = CprecodingAP + CotherAP;
CprecodingUE = Nused*(tau_c-tau_p)/(Ts*tau_c*10^9)*8*N ...
+ Nused/(Ts*tau_c*10^9)*8*N ...
+ Nused/(Ts*tau_c*10^9)*(8*N^2)*2;
FLP = ((Nbits/16)^(1.2))*( 1.3*((SE0/6)^(1.5))*K )...
+ ((Nbits/16)^(1.2))*( 1.3*SE0/6*K )...
+ 8*SE0/6*K;
XLP = CprecodingUE;
Rmax = 10*10^9;
Rfronthaul = 2*Nbits*Nused*N/Ts;
Wmax = floor(Rmax/Rfronthaul);
PPz = PAP0 + PONU + DeltaProc/GOPSmax*ZLP/sigmaCool...
+ PRUproc0 + DeltaRUProc/GOPSmax*SLP;
PPz2 = PPz + Pproc0/GOPSmax*ZLP/sigmaCool ...
+(POLT+Pproc0)/sigmaCool/Wmax;
PPrho2 = (Pproc0 + DeltaProc)/GOPSmax*XLP/sigmaCool;
%% Cell-Free Low complex
Objectivekapi = inf;
ObjectivekapiSmall = inf;
for randomInitial = 1:5
rho0 = rand(L*K,1)*sqrt(rho_tot/100);
zz0 = rand(L,1)*sqrt(rho_tot/100);
kapii = 1;
aExp = 3;
uu0 = zeros(K,1);
rr0 = zeros(K,1);
tt0 = zeros(K,1);
chi0 = zeros(K,1);
for k = 1:K
temporr = norm([CC2(:,:,k)*10*rho0; 1])^2;
tt0(k) = bb(:,k)'*10*rho0;
chi0(k) = (tt0(k))^2/(temporr-(tt0(k))^2);
uu0(k) = 100/(1+ chi0(k));
rr0(k) = temporr/(1+ chi0(k));
end
Gtt = -2*tt0./rr0;
Guu = 1./uu0;
Grr = tt0.^2./(rr0.^2);
Ftur = log(uu0/100)-tt0.^2./rr0;
diff = 1;
iterr = 0;
ObjOld = sum(Ftur)+sum(chi0);
while ((diff>0.00001)||(iterr<10))&&(iterr<50)
[sss randomInitial diff]
iterr = iterr+1;
cvx_begin quiet
variable rho(K*L,1)
variable rr(K,1)
variable uu(K,1)
variable chi(K,1)
minimize sum(Gtt'*(bb'*10*rho)) + sum(Grr'*rr) ...
+ sum(Guu'*uu) + sum(chi)
subject to
for k = 1:K
norm([sqrt(2)*CC2(:,:,k)*10*rho; sqrt(2); 1+chi(k); rr(k) ]) <= 1+chi(k)+rr(k);
norm([ 1+chi(k); uu(k); sqrt(200) ])<= 1+chi(k)+uu(k);
end
zeros(K*L,1) <= rho;
for ell = 1:L
norm(rho(ell:L:end,1)) <= sqrt(rho_tot/100);
end
cvx_end
rho0 = rho;
tt0 = bb'*10*rho;
uu0 = uu;
rr0 = rr;
chi0 = chi;
if sum(isnan(rho0))>0
break
end
Gtt = -2*tt0./rr0;
Guu = 1./uu0;
Grr = tt0.^2./(rr0.^2);
Ftur = log(uu0/100)-tt0.^2./rr0;
ObjNew = sum(Ftur)+sum(chi0);
diff = abs(ObjNew-ObjOld)^2/abs(ObjOld)^2;
ObjOld = ObjNew;
if sum(rho.^2)>rho_tot/100
rho2a = rho;
end
end
indexRho = find(rho2a/max(rho2a)<=0.001);
rho2 = rho2a;
rho2(indexRho) = 0;
rho = rho2;
scalingPower = 0;
for ell = 1:L
scalingPower = max(scalingPower, norm(rho(ell:L:end,1))/(sqrt(rho_tot/100)));
end
rho = rho/scalingPower;
zz = zeros(L,1);
xx = sign(reshape(rho,[L,K])).';
dd = zeros(W,1);
ll = zeros(W,1);
for ell = 1:L
if norm(rho(ell:L:end,1))>10^(-9)
zz(ell) = 1;
end
end
llIndex = ceil(sum(zz)/Wmax);
ll(llIndex) = 1;
ratee = zeros(K,1);
for k = 1:K
ratee(k) = preLogFactor*log2(1+(bb(:,k)'*10*rho)^2/( norm([CC2(:,:,k)*10*rho; 1])^2-(bb(:,k)'*10*rho)^2));
end
FLP = sum(((Nbits/16)^(1.2))*( 1.3*((ratee/6).^(1.5)) )...
+ ((Nbits/16)^(1.2))*( 1.3*ratee/6 )...
+ 8*ratee/6);
ddIndex = ceil((ZLP*sum(zz) + XLP*sum(sum(xx)) + FLP)/GOPSmax);
ddIndex = max(ddIndex,llIndex);
dd(ddIndex) = 1;
Powerkapi2 = Pdisp + PPz*sum(zz) + DeltaTr*quad_form(rho,eye(K*L))/10 ...
+ POLT*(1:length(ll))*ll/sigmaCool + Pproc0*(1:length(dd))*dd/sigmaCool ...
+ DeltaProc/GOPSmax*XLP*sum(sum(xx))/sigmaCool ...
+ DeltaProc/GOPSmax*FLP/sigmaCool;
Objectivekapi2 = -sum(ratee);
if Objectivekapi > Objectivekapi2
TotalPower(1,sss) = Powerkapi2;
Axx(:,:,sss) = xx;
Add(:,sss) = dd;
Azz(:,sss) = zz;
All(:,sss) = ll;
Arho(:,sss) = rho;
Objectivekapi = Objectivekapi2;
Aratee(:,sss) = ratee;
end
for k = 1:K
[maxx,indexx] = max(rho((k-1)*L+1:k*L));
rho([(k-1)*L+1:(k-1)*L+indexx-1 (k-1)*L+indexx+1:k*L])=0;
end
scalingPower = 0;
for ell = 1:L
scalingPower = max(scalingPower, norm(rho(ell:L:end,1))/(sqrt(rho_tot/100)));
end
rho = rho/scalingPower;
zz = zeros(L,1);
xx = sign(reshape(rho,[L,K])).';
dd = zeros(W,1);
ll = zeros(W,1);
for ell = 1:L
zz(ell) = sign(norm(rho(ell:L:end,1)));
end
llIndex = ceil(sum(zz)/Wmax);
ll(llIndex) = 1;
ratee = zeros(K,1);
for k = 1:K
ratee(k) = preLogFactor*log2(1+(bb(:,k)'*10*rho)^2/( norm([CC2(:,:,k)*10*rho; 1])^2-(bb(:,k)'*10*rho)^2));
end
FLP = sum(((Nbits/16)^(1.2))*( 1.3*((ratee/6).^(1.5)) )...
+ ((Nbits/16)^(1.2))*( 1.3*ratee/6 )...
+ 8*ratee/6);
ddIndex = ceil((ZLP*sum(zz) + XLP*sum(sum(xx)) + FLP)/GOPSmax);
ddIndex = max(ddIndex,llIndex);
dd(ddIndex) = 1;
Powerkapi2Small = Pdisp + PPz*sum(zz) + DeltaTr*quad_form(rho,eye(K*L))/10 ...
+ POLT*(1:length(ll))*ll/sigmaCool + Pproc0*(1:length(dd))*dd/sigmaCool ...
+ DeltaProc/GOPSmax*XLP*sum(sum(xx))/sigmaCool ...
+ DeltaProc/GOPSmax*FLP/sigmaCool;
ObjectivekapiSmall2 = -sum(ratee);
if ObjectivekapiSmall > ObjectivekapiSmall2
TotalPower(2,sss) = Powerkapi2Small;
Bxx(:,:,sss) = xx;
Bdd(:,sss) = dd;
Bzz(:,sss) = zz;
Bll(:,sss) = ll;
Brho(:,sss) = rho;
ObjectivekapiSmall = ObjectivekapiSmall2;
Bratee(:,sss) = ratee;
end
end
end