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Turbo Codes Introduction - Phils Rockets

Page 1 2000 Turbo Codes Introduction In 1949 Claude Shannon published a classic paper1 that established a mathematical basis for the consideration of the noisy communications channel. In his analysis he quantified the maximum theoretical capacity for a communications channel, the Shannon limit, and indicated that error-correcting channel Codes must exist that allowed this maximum capacity to be achieved. The intervening years have seen many well-considered channel Codes inch towards the Shannon limit, but all contenders have required large block lengths to perform close to the limit. The consequent complexity, cost, and signal latency of these Codes have made them impractical within 3 to 5 dB of the limit, but they provide useful coding gain at higher values of Eb/No and bit error rate.

Page 2 © P.B.Charlesworth 2000 delay 1 + delay 3 delay 2 + x p 0 p 1 a) convolutional coder + + x p 1 x b) recursive systematic convolutional coder delay 1 delay

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