| We give a tutorial exposition of turbo codes and the associated algorithms. Included are a simple derivation for the performance of turbo codes, and a straightforward presentation of the iterative de-coding algorithm. The derivations of both the per-formance estimate and the modi¯ed BCJR decoding algorithm are novel. The treatment is intended to be a launching point for further study in the ¯eld and, signi¯cantly, to provide su±cient information for the design of computer simulations.
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