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MIMO 检测(五)_基于因子图的加权高斯近似-算法和代码

2022-09-29 00:15 作者:乐吧的数学  | 我要投稿


MIMO检测:基于因子图高斯近似的置信传播算法



初始化

1.  %5CLambda_i%5Ek%3D0%2C%20p_i%5E%7Bk%2B%7D%3D0.5%2C%20s_%7B%5CLambda%5Ek%7D%3D0%2C%20%5Cmu_%7Bz_%7Bik%7D%7D%3D%5Csigma%5E2_%7Bz_%7Bik%7D%7D%3Ds_%7B%5Cmu_%7Bz_%7Bi%7D%7D%7D%3D0%2C%20s_%7B%5Csigma%5E2_%7Bz_i%7D%7D%3D0%2C%20%5Cforall%20i%3D1%2C...%2Cn_r%2C%20k%3D1%2C...%2Cn_t%20

2. 从 t=1 到 num_iter

   观察节点的 LLRs 计算

   2.1. 从 i%3D1%20%5Cquad%20to%5Cquad%20n_r
      2.1.1. s_%7Bu_%7Bz_i%7D%7D%3D%5Csum_%7Bj%3D1%7D%5E%7Bn_t%7D%20h_%7Bij%7D(2p_i%5E%7Bj%2B%7D-1)

      2.1.2. s_%7B%5Csigma%5E2_%7Bz_i%7D%7D%3D4%5Csum_%7Bj%3D1%7D%5E%7Bn_t%7D%20%7Ch_%7Bij%7D%7C%5E2%20p_i%5E%7Bj%2B%7D(1-p_i%5E%7Bj%2B%7D)%20

      2.1.3. 从 k%3D1%20%5Cquad%20to%20%5Cquad%20n_t%20

         2.1.3.1. u_%7Bz_%7Bik%7D%7D%20%3D%20s_%7Bu_%7Bz_i%7D%7D%20-%20h_%7Bik%7D(2p_i%5E%7Bk%2B%7D-1)

         2.1.3.2. %5Csigma_%7Bz_%7Bik%7D%7D%5E2%20%3D%20s_%7B%5Csigma%5E2_%7Bz_i%7D%7D%20-%204%7Ch_%7Bik%7D%7C%5E2%20p_i%5E%7Bk%2B%7D(1-p_i%5E%7Bk%2B%7D)%20%2B%20%5Csigma%5E2

         2.1.3.3. %5CLambda_i%5Ek%20%3D%20%5Cfrac%7B4%7D%7B%5Csigma%5E2_%7Bz_%7Bik%7D%7D%7D%20%5CRe(h%5E*_%7Bik%7D(r_i-%5Cmu_%7Bz_%7Bik%7D%7D))

      2.1.4. 终止循环

   2.2. 终止循环

      计算变量节点的概率

   3.1 从 k%3D1%20%5Cquad%20to%20%5Cquad%20n_t

      3.1.1. s_%7B%5CLambda%5Ek%7D%20%3D%20%5Csum_%7Bl%3D1%7D%5E%7Bn_r%7D%5CLambda_l%5Ek

      3.1.2. 从 i%3D1%20%5Cquad%20to%20%5Cquad%20n_r

         3.1.2.1. p_i%5E%7Bk%2B%7D%3D%5Cfrac%7Bexp(s_%7B%5CLambda%5Ek%7D-%5CLambda_i%5Ek)%7D%7B1%2Bexp(s_%7B%5CLambda%5Ek%7D-%5CLambda_i%5Ek)%7D

      3.1.3. 终止循环

   3.2. 终止循环

3. 终止循环, num_iter 的循环



数据比特的检测

4. 从  K%3D1%5Cquad%20to%20%5Cquad%20n_t
   4.1. %5Chat%7Bx%7D_K%20%3D%20sgn(%5Csum_%7Bi%3D1%7D%5E%7Bn_r%7D%20%5CLambda_i%5EK)5. 终止循环

   结束



Matlab 代码


运算性能优化的版本(仅仅从代码的角度优化,没有算法本身的优化):


MIMO 检测(五)_基于因子图的加权高斯近似-算法和代码的评论 (共 条)

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