ELECT A resolution-enhanced sturdy multi-stage noise shaping (MASH) delta–sigma modulator is presented. By employing the Leslie-Singh architecture in the first stage and an appropriate second stage digital filtering, the proposed structure could achieve much higher resolution [>80 dB signal-to-quantisation noise ratio] when compared with a traditional sturdy MASH, at a lower oversampling ratio ...

We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poisson bracket. When the brackets {H,φi} and {φi, φj}, where H is the Hamiltonian and φi are primary and secondary constraints, can be expressed as functions of H and φi themselves, the Poisson bracket defines a Poisson-Lie structure. When this algebra has a finite dimension a system of first order p...

A new class of analog-to-digital (A/D) and digitalto-analog (D/A) converters using a flaky quantiser, called the β-encoder, has been shown to have exponential bit rate accuracy while possessing a self-correction property for fluctuations of the amplifier factor β and the quantiser threshold ν. The probabilistic behavior of such a flaky quantiser is explained as the deterministic dynamics of the...