Hi. i am trying to write this code on matlab with cvx.

`V`

is a UL beamforming matrix that omit from problem and we find it with ZF beamforming.

`W_i`

is a DL beamforming vector on sdp form

`E`

and`alpha`

are energy and time allocation

`R_tilde(k)`

on objective function is concave on`E(k)`

because logarithmic function is concave as you know.

`alpha(k)*R_tilde(k)`

is a perspective function and it is concave on`alpha`

and`E`

also.

`C.1`

constraint is affine and`C.2 to C.5`

is convex and we find`alpha_0`

with exhaustive search from zero to one.

`C.5`

constraint is a linear constraint of`alpha`

this is the code that i wrote:

`for aa=1:length(alpha0) cvx_begin variable W_1(M(mm),M(mm)) complex hermitian semidefinite; variable W_2(M(mm),M(mm)) complex hermitian semidefinite; variable E1 nonnegative variable alpha1 nonnegative variable alpha2 nonnegative maximize alpha1*log2(1 + (E1*(abs(g_du))^2)/(alpha1*(P_cu_1*(abs(g_cu_du(1)))^2 + P_cu_2*(abs(g_cu_du(2)))^2 + sigma2_w))) subject to alpha0(aa) + alpha1 + alpha2 == 1; real((trace(W_1) + trace(W_2))) <= P_w_max; real((trace(H_cu_1*W_2) + sigma2_w)) <= real(trace(H_cu_1*W_1))/saai_w(ii); real((trace(H_cu_2*W_1) + sigma2_w)) <= real(trace(H_cu_2*W_2))/saai_w(ii); 0 <= E1 <= alpha0*eta*real((trace(H_0(:,1:7)*W_1) + trace(H_0(:,1:7)*W_2))); f_MU(alpha1,Z,P_cu_1,h_cu(:,1)) + f_MU(alpha2,Z,P_cu_1,h_cu(:,1)) - zeta(zz) <= 0; f_MU(alpha1,Z,P_cu_2,h_cu(:,2)) + f_MU(alpha1,Z,P_cu_2,h_cu(:,2)) - zeta(zz) <= 0; cvx_end R_tilde_hybrid_ex(aa)= cvx_optval; end`

on the objective function line in matlab, it gives me this error:

`Cannot perform the operation: {real affine} ./ {real affine}`

i don’t know what the problem is. please help me.