multiplication of matrices with different sizes

i have to calculate the SINR ratio for zero forcing precoding in cell free mmimo i tried to reperesent the part with red mark under it like that ( pilot contamination part)

M=20

K=10

G=M*K matrix

betta=M*K matrix

C=conj(G);

o=G.';

p= zeros(M,1);

for m=1:M

p(m)=(BETAA(m).*(1-((G(m)/BETAA(m)))) ;

end

PC=(abs(p)).^2;

s=zeros(M,1) ;

for m=1:M

s(m)=(inv(C*o).*o.*PC.*inv(C.*o).*C); % thefinal vector

end

etta = m*1 vector

the code give error on s(m) that said 'matrix dimensions must agree'

what is the wrong with this code ? did i repesent these matrix right ? and how can i do multiplication of matrices with different sizes

Answer 1

[VBBV]

Use a cell array for s

s{m}=(inv(C*o).*o.*PC.*inv(C.*o).*C);

[VBBV]

%s=zeros(M,1) ;

Comment the line above

[Sara]

i did it give the same error

[VBBV]

You can follow this approach

M=diag(ones(20,1));
K=20;
G=M*K; 
betta=M*K; 
C=conj(G);
o=G.';
p=zeros(length(M),length(M));
for m=1:length(M)
    p(m,m)=betta(m,m)*(1--G(m,m)/betta(m,m)) ;
end
   
PC=(sum(p)).^2;
 
% % s=zeros(M,1) ;
for m=1:length(M)    
    s{m}=(inv(C*o).*o.*PC(m).*inv(C.*o).*C); % thefinal vector
end
s.'

ans = 20×1 cell array
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}
    {20×20 double}

[Sara]

Thanks for your efforts i will try this