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An efficient decoding algorithm for cycle-free convolutional codes and its applications

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3 Author(s)
Jing Li ; Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA ; Narayanan, K.R. ; Georghlades, C.N.

This paper proposes an efficient graph-based sum-product algorithm for decoding 1/(1+Dn) code, whose Tanner (1981) graph is cycle-free. A rigorous proof is given which shows the proposed algorithm is equivalent to the MAP decoding implementing the BCJR algorithm, but with a lower complexity magnitude. The paper presents an explicit example which confirms the claim that the sum-product algorithm is optimal on cycle-free graphs. A parallel realization is then discussed and shown to resemble low density parity check (LDPC) decoding. The paper further proposes a min-sum algorithm which is equivalent to the max-log-MAP algorithm. Prospective applications which can take advantage of the proposed decoding algorithms are discussed and simulations are provided

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Global Telecommunications Conference, 2001. GLOBECOM '01. IEEE  (Volume:2 )

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