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Factor Graphs and the Sum-Product Algorithm
- IEEE TRANSACTIONS ON INFORMATION THEORY
, 1998
"... A factor graph is a bipartite graph that expresses how a "global" function of many variables factors into a product of "local" functions. Factor graphs subsume many other graphical models including Bayesian networks, Markov random fields, and Tanner graphs. Following one simple computational rule, t ..."
Abstract
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Cited by 767 (46 self)
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A factor graph is a bipartite graph that expresses how a "global" function of many variables factors into a product of "local" functions. Factor graphs subsume many other graphical models including Bayesian networks, Markov random fields, and Tanner graphs. Following one simple computational rule, the sum-product algorithm operates in factor graphs to compute---either exactly or approximately---various marginal functions by distributed message-passing in the graph. A wide variety of algorithms developed in artificial intelligence, signal processing, and digital communications can be derived as specific instances of the sum-product algorithm, including the forward/backward algorithm, the Viterbi algorithm, the iterative "turbo" decoding algorithm, Pearl's belief propagation algorithm for Bayesian networks, the Kalman filter, and certain fast Fourier transform algorithms.
Parallel Interleaving On Parallel Dsp Architectures
, 2002
"... Today's communications systems especially in the field of wireless communications rely on many different algorithms to provide applications with constantly increasing data rates and higher quality. This development combined with the wireless channel characteristics as well as the invention of turbo ..."
Abstract
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Cited by 2 (2 self)
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Today's communications systems especially in the field of wireless communications rely on many different algorithms to provide applications with constantly increasing data rates and higher quality. This development combined with the wireless channel characteristics as well as the invention of turbo codes has particularly increased the importance of interleaver algorithms. In this paper we demonstrate the feasibility to exploit the hardware parallelism in order to accelerate the interleaving procedure. Based on a heuristic algorithm the possible speedup for different interleavers as a function of the degree of parallelism of the hardware is presented. The parallelization is generic in the sense that the assumed underlying hardware is based on a parallel datapath DSP architecture and therefore provides the flexibility of software solutions.

