code for optimal allocation of power in fading channel

we are doing our final year project on outage minimization in fading channel. we were given with a theorem to optimally allocate power in fading channel.. The theorem goes as follows:

If P0<Pa we have

            Pi* = 0 ,  1 ≤ i  ≤ N-k0-1
                = P0', i=N-k0
                =(NP0 - P0')/k0 , N-k0+1 ≤ i ≤ N

Where P0 and k0 are given as follows

k0 =⌊(P0  N)/Pa⌋

P0'= arg min(P belongs to p) F(P) + k0*F[(NP0-P)/k0],

with p= [0,Pb] union (NP0/(k0+1))

   where N= total no.of blocks 

         i= no.of.blocks within total block 
         Pb=7.2
         Pa=9.3
         P0=average transmit power which varies from 1 to 10
        F(P)= 1-(exp(-((2^(R))-1)/P)^(beta/2))
          R=3
          beta=8

our problem is to write a matlab code for Pi*

Can someone plz suggest a code for this problem

Answer 1

[Nagarjuna]

provide the name of this theorm?