How to solve logrithmic constraint in convex program?

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NEELU GUPTA
NEELU GUPTA 2018-11-22
%convex optimization for optimizing allocated powers (P1 and P2)
cvx_begin quiet
cvx_solver mosek
variable P(2,1) %optimization variables
R_min = 1; % 1 bits/Hz (minimum transmission rate)
maximize(Mn-mu_n*(1+exp(-an*(gnx*(P(1)+P(2))-bn))))
subject to
R1 = log2(1+(P(1)*hix)/(P(2)*hix)+Ni);
R2 = log2(1+(P(2)*hjx)/Nj);
R3 = log2(1+(P(1)*hjx)/((P(2,1)*hjx)+Nj));
R1 >= R_min;
R2 >= R_min;
R3 >= R1+R2;
qmx*P(1,1)+P(2,1) <= Gamma_m;
mu_n >= 0;
cvx_end
P
Getting error like this
Error using .* (line 173)
Disciplined convex programming error:
Cannot perform the operation: {real affine} ./ {real affine}
Error in ./ (line 19)
z = times( x, y, './' );
Error in * (line 36)
z = feval( oper, x, y );
Error in / (line 15)
z = mtimes( x, y, 'rdivide' );
Error in nov22 (line 41)
R1 = log2(1+(P(1)*hix)/(P(2)*hix)+Ni);

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