Not logical values

1

cvx_begin

variables P(Nt,3) a(1,k) time_slot_allocation  min_rate alpha_rate_private(1,k) alpha_rate_common(1,k) raw_SINR_private(1,k) raw_SINR_common(1,k);
maximize(min_rate);
subject to
a(1)>=0;
a(2)>=0;
square_pos(norm(P,'fro'))<= max_power;

1+raw_SINR_private-(2.^(alpha_rate_private))>=0;
1+raw_SINR_common-(2.^(alpha_rate_common))>=0;

0.5*(time_slot_allocation_old+alpha_rate_private_old).*(time_slot_allocation+alpha_rate_private)-0.25*((time_slot_allocation_old+alpha_rate_private_old).^2)-0.25*((time_slot_allocation-alpha_rate_private).^2)+a >= min_rate;
0.5*(time_slot_allocation_old+alpha_rate_common_old(1))*(time_slot_allocation+alpha_rate_common(1))-0.25*((time_slot_allocation_old+alpha_rate_common_old(1))^2)-0.25*((time_slot_allocation-alpha_rate_common(1))^2)>= a(1)+a(2);
0.5*(time_slot_allocation_old+alpha_rate_common_old(2))*(time_slot_allocation+alpha_rate_common(2))-0.25*((time_slot_allocation_old+alpha_rate_common_old(2))^2)-0.25*((time_slot_allocation-alpha_rate_common(2))^2)+((1-time_slot_allocation)*log2(1+SINR_common_sec))>= a(1)+a(2);

(square_pos(norm(((g_U1)')*(P(:,3)))))+noise_power-((2*real(((P_old(:,2))')*(g_U1)*((g_U1)')*(P(:,2))))./raw_SINR_private_old(1))+(square((norm(((g_U1)')*P_old(:,2))))*raw_SINR_private(1))/square(raw_SINR_private_old(1))<=0;
(square_pos(norm(((g_U2)')*(P(:,2)))))+noise_power-((2*real(((P_old(:,3))')*(g_U2)*((g_U2)')*(P(:,3))))./raw_SINR_private_old(2))+(square((norm(((g_U2)')*P_old(:,3))))*raw_SINR_private(2))/square(raw_SINR_private_old(2))<=0;

(square_pos(norm(((g_U1)')*(P(:,2)))))+(square_pos(norm(((g_U1)')*(P(:,3)))))+noise_power-(((2*real(((P_old(:,1))')*(g_U1)*((g_U1)')*(P(:,1)))))./raw_SINR_common_old(1)) +((square((norm(((g_U1)')*P_old(:,1))))*raw_SINR_common(1))/square(raw_SINR_common_old(1)))<=0;
(square_pos(norm(((g_U2)')*(P(:,2)))))+(square_pos(norm(((g_U2)')*(P(:,3)))))+noise_power-(((2*real(((P_old(:,1))')*(g_U2)*((g_U2)')*(P(:,1)))))./raw_SINR_common_old(2))+((square((norm(((g_U2)')*P_old(:,1))))*raw_SINR_common(2))/square(raw_SINR_common_old(2)))<=0;

cvx_end

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NOTE:
t: min rate

I initialize the values with zeros.

I am new to CVX and this my optimization problem and code, it gives me that rate with negative value which is wrong. I do not know what is wrong so can someone help me.

Thank you in advance.

2

Any values you assigned prior to execution fo your CVX program to anything declared as a CVX variable, is superseded by the variable declaration in CVX; and any previous value is totally ignored.

Are you referring to min_rate, which is also the objective value, as being negative? What is its numerical value after cvx_end? Perhaps it is negative by an amount within solver tolerance of zero, and the exact optimal value (if the problem were solved exactly in infinite precision) is zero?

You should also look at and show all CVX and solver output.