The Golden Ratio Encoder

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 with = = (1 + 5)/2, the golden ratio. 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. We also propose a formal computational model for algorithmic encoders and a general test bed for evaluating their robustness.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Ingrid Daubechies, C. Sinan Güntürk, Y. Wang, Özgür Yilmaz
• Keywords: CORR 2008, Education, Exponential Accuracy, Imperfect Analog Multipliers, Imperfect Components