The beta-alpha-encoders for A/D conversion

David Jimenez; Yang Wang

doi:10.1117/12.730658

27 September 2007 The βα-encoders for A/D conversion

David Jimenez, Yang Wang

Proceedings Volume 6701, Wavelets XII; 670107 (2007) https://doi.org/10.1117/12.730658
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

The β-encoder, introduced as an alternative to binary encoding in A/D conversion, creates a quantization scheme robust with respect to quantizer imperfections by the use of a β-expansion, where 1 < β < 2. In this paper we introduce a more general encoder called the βα-encoder, that can offer more flexibility in design and robustness without any significant drawback on the exponential rate of convergence of the obtained expansion. Although an extra multiplication is introduced, it needs not be very accurate. Mathematically, the βα-encoder gives rise to a dynamical system that is both very interesting and challenging.

Citation Download Citation

David Jimenez and Yang Wang "The βα-encoders for A/D conversion", Proc. SPIE 6701, Wavelets XII, 670107 (27 September 2007); https://doi.org/10.1117/12.730658

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