The Golden Ratio Encoder

Details The Golden Ratio Encoder The Golden Ratio Encoder

2008-09-07

arxiv.org/abs/0809.1257v1

Computer Science

Information Theory

24 pages, 9 figures

Scientific paper

10.1109/TIT.2010.2059750

This paper proposes a novel Nyquist-rate analog-to-digital (A/D) conversion algorithm which achieves exponential accuracy in the bit-rate despite using imperfect components. The proposed algorithm is based on a robust implementation of a beta-encoder where the value of the base beta is equal to golden mean. It was previously shown that beta-encoders can be implemented in such a way that their exponential accuracy is robust against threshold offsets in the quantizer element. This paper extends this result by allowing for imperfect analog multipliers with imprecise gain values as well. A formal computational model for algorithmic encoders and a general test bed for evaluating their robustness is also proposed.

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