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The bidirectional Fano algorithm (BFA) can achieve at least two timesdecoding throughput compared to the conventional unidirectional Fano algorithm(UFA). In this paper, bidirectional Fano decoding is examined from the queuingtheory perspective. A Discrete Time Markov Chain (DTMC) is employed to modelthe BFA decoder with a finite input buffer. The relationship between the inputdata rate, the input buffer size and the clock speed of the BFA decoder isestablished. The DTMC based modelling can be used in designing a highthroughput parallel BFA decoding system. It is shown that there is a tradeoffbetween the number of BFA decoders and the input buffer size, and an optimalinput buffer size can be chosen to minimize the hardware complexity for atarget decoding throughput in designing a high throughput parallel BFA decodingsystem.

A Discrete Time Markov Chain Model for High Throughput Bidirectional Fano Decoders