MATLAB: Solution for an unknown variable

Question

How do I solve this equation in matlab for alpha. all other values are known

Thanks in advance

Answer 1

Something like this (obviously, I've used dummy data):

% Initial guess
alpha0 = 1; 
% Call function with fzero
alpha = fzero(@fn, alpha0);
function delta = fn(alpha)
            % Data
            N = 8;
            PFA = 0.4;
         
            S = 0;
            for k = 0:N/2-1
                S = nchoosek(N/2-1+k,k)*(2+alpha)^(-k) + S;
            end
            
         delta = 2*(2+alpha)^(-N/2)*S - PFA;
   
end