The β-encoders, recently proposed analog-to-digital converters using an amplifier with factor βand a flaky quantizer with threshold ν have been proven to be explained as deterministic dynamics of "multi-valued Rényi-Parry maps." Such a map is locally eventually onto [ν-1, ν] which is topologically conjugate to Parry's (β, α)-map with α=(β-1)( ν-1). Switched-capacitor electronic circuits realizing the scaled ordinary and negative β-encoders lead us to observe their embedded attractors.
|Number of pages||3|
|Publication status||Published - 2012|
|Event||IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan|
Duration: 2011 Nov 28 → 2011 Dec 2
- Switched-capacitor circuit
ASJC Scopus subject areas
- Mechanical Engineering