减少matlab循环的运行时间

Question

我的matlab代码波纹管需要很长时间才能运行。我怎么能把它编写成只需几秒钟跑？如果你能帮助我，我会很感激。参数i，k_hat和alpha是常量。

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p_desired=zeros(1,length(alpha)); 
p_ICI=zeros(1,length(alpha)); 
p_MUI=zeros(1,length(alpha)); 
tic 
for ss=1:length(alpha) 
    uN=2*pi/N*Ts*abs(sin(alpha(ss))); 
    uM=2*pi/M*Ts*abs(sin(alpha(ss))); 
    for j=0:M/N-1 
     for k=0:N-1 
      for q=0:N-1 
       for qq=0:N-1 
        for q_hat=0:N-1 
         for qq_hat=0:N-1 
          for n=0:M-1 
           for m=-Ng:M-1 
            for n_hat=0:N-1 
             for m_hat=-Ng:N-1 
              if (n-m-n_hat+m_hat==0) 
               if (i==j && k==k_hat) 
                p_desired(ss)=p_desired(ss)+((sin(-alpha(ss))-1i*cos(-alpha(ss)))/N)^.5*exp(1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(1i/2*q^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*q*k_hat/N)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/N)^.5*exp(-1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(-1i/2*q_hat^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*q_hat*k_hat/N)... 
                 * ((sin(alpha(ss))-1i*cos(alpha(ss)))/N)^.5*exp(1i/2*qq^2*cot(alpha(ss))*uN^2)*exp(1i/2*k_hat^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*qq*k_hat/N)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/N)^.5*exp(-1i/2*qq_hat^2*cot(alpha(ss))*uN^2)*exp(-1i/2*k_hat^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*qq_hat*k_hat/N)... 
                 *((sin(alpha(ss))-1i*cos(alpha(ss)))/M)^.5*exp(1i/2*(q+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(1i/2*n^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*(q+N*(i-1))*n/M)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/M)^.5*exp(-1i/2*(q_hat+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(-1i/2*n_hat^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*(q_hat+N*(i-1))*n_hat/M)... 
                 *((sin(-alpha(ss))-1i*cos(-alpha(ss)))/M)^.5*exp(1i/2*m^2*cot(-alpha(ss))*uM^2)*exp(1i/2*(qq+N*(i-1))^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*m*(qq+N*(i-1))/M)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/M)^.5*exp(-1i/2*m_hat^2*cot(-alpha(ss))*uM^2)*exp(-1i/2*(qq_hat+N*(i-1))^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*m_hat*(qq_hat+N*(i-1))/M)... 
                 *exp(1i*2*pi/M*(n-n_hat)*e)*exp(-abs(n-m)/gamma)* besselj(0,2*pi*abs(n-n_hat)*fd); 
               elseif (i==j && k~=k_hat) 
                p_ICI(ss)=p_ICI(ss)+((sin(-alpha(ss))-1i*cos(-alpha(ss)))/N)^.5*exp(1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(1i/2*q^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*q*k_hat/N)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/N)^.5*exp(-1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(-1i/2*q_hat^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*q_hat*k_hat/N)... 
                 * ((sin(alpha(ss))-1i*cos(alpha(ss)))/N)^.5*exp(1i/2*qq^2*cot(alpha(ss))*uN^2)*exp(1i/2*k^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*qq*k/N)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/N)^.5*exp(-1i/2*qq_hat^2*cot(alpha(ss))*uN^2)*exp(-1i/2*k^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*qq_hat*k/N)... 
                 *((sin(alpha(ss))-1i*cos(alpha(ss)))/M)^.5*exp(1i/2*(q+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(1i/2*n^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*(q+N*(i-1))*n/M)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/M)^.5*exp(-1i/2*(q_hat+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(-1i/2*n_hat^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*(q_hat+N*(i-1))*n_hat/M)... 
                 *((sin(-alpha(ss))-1i*cos(-alpha(ss)))/M)^.5*exp(1i/2*m^2*cot(-alpha(ss))*uM^2)*exp(1i/2*(qq+N*(i-1))^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*m*(qq+N*(i-1))/M)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/M)^.5*exp(-1i/2*m_hat^2*cot(-alpha(ss))*uM^2)*exp(-1i/2*(qq_hat+N*(i-1))^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*m_hat*(qq_hat+N*(i-1))/M)... 
                 *exp(1i*2*pi/M*(n-n_hat)*e)*exp(-abs(n-m)/gamma) *besselj(0,2*pi*abs(n-n_hat)*fd); 
               elseif (i~=j) 
                p_MUI(ss)=p_MUI(ss)+((sin(-alpha(ss))-1i*cos(-alpha(ss)))/N)^.5*exp(1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(1i/2*q^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*q*k_hat/N)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/N)^.5*exp(-1i/2*k_hat^2*cot(-alpha(ss))*uN^2)*exp(-1i/2*q_hat^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*q_hat*k_hat/N)... 
                 * ((sin(alpha(ss))-1i*cos(alpha(ss)))/N)^.5*exp(1i/2*qq^2*cot(alpha(ss))*uN^2)*exp(1i/2*k^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*qq*k/N)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/N)^.5*exp(-1i/2*qq_hat^2*cot(alpha(ss))*uN^2)*exp(-1i/2*k^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*qq_hat*k/N)... 
                 *((sin(alpha(ss))-1i*cos(alpha(ss)))/M)^.5*exp(1i/2*(q+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(1i/2*n^2*cot(alpha(ss))*Ts^2)*exp(-1i*2*pi*(q+N*(i-1))*n/M)... 
                 *((sin(alpha(ss))+1i*cos(alpha(ss)))/M)^.5*exp(-1i/2*(q_hat+N*(i-1))^2*cot(alpha(ss))*uM^2)*exp(-1i/2*n_hat^2*cot(alpha(ss))*Ts^2)*exp(+1i*2*pi*(q_hat+N*(i-1))*n_hat/M)... 
                 *((sin(-alpha(ss))-1i*cos(-alpha(ss)))/M)^.5*exp(1i/2*m^2*cot(-alpha(ss))*uM^2)*exp(1i/2*(qq+N*(j-1))^2*cot(-alpha(ss))*Ts^2)*exp(-1i*2*pi*m*(qq+N*(j-1))/M)... 
                 *((sin(-alpha(ss))+1i*cos(-alpha(ss)))/M)^.5*exp(-1i/2*m_hat^2*cot(-alpha(ss))*uM^2)*exp(-1i/2*(qq_hat+N*(j-1))^2*cot(-alpha(ss))*Ts^2)*exp(+1i*2*pi*m_hat*(qq_hat+N*(j-1))/M)... 
                 *exp(1i*2*pi/M*(n-n_hat)*e)*exp(-abs(n-m)/gamma)* besselj(0,2*pi*abs(n-n_hat)*fd); 
               end 
              else 
               p_desired(ss)=p_desired(ss); 
               p_ICI(ss)=p_ICI(ss); 
               p_MUI(ss)=p_MUI(ss); 
              end 
             end 
            end 
           end 
          end 
         end 
        end 
       end 
      end 
     end 
    end 
end 
toc 

Answer 1

1. 删除 “for ss=1:length(alpha)” 和相应的 “end”
2. 转换所有 “alpha(ss)” 到 “alpha”
3. 转换所有 “p_desired(ss)” 到 “p_desired”
4. 转换所有 “p_ICI(ss)”到“p_ICI”
5. 将所有“p_MUI(ss)”转换为“p_MUI “
6. 转换所有” *”， “/” 和 “^” 到 “.*”， './' 和 “” 分别.^。
7. 转换 “elseif (i~=j)” 到 “else”
8. 删除下面的代码：

其他

p_desired(ss)=p_desired(ss); 

    p_ICI(ss)=p_ICI(ss); 

    p_MUI(ss)=p_MUI(ss);