##  [BCJR Algorithm](/index.php/bcjr-algorithm) 

  ##  [BCJR Algorithm](https://information.quantumdictionary.io/bcjr-algorithm-0) 

  

 [![Information & Communication Dictionary](/sites/default/files/styles/large/public/2026-01/Information%20%26%20Communication.png.webp?itok=g4emS-T7)](/index.php/topic-specific-dictionaries/information-communication)



**Information & Communication Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An exact dynamic-programming algorithm that computes symbol- or bit-wise a posteriori probabilities on a finite-state trellis by performing forward and backward recursions over state metrics and branch metrics; produces soft outputs (posterior probabilities or log‑likelihood ratios) for each symbol given a probabilistic channel and an explicit state model.