One-bit Sigma-Delta modulation on the circle

Manifold models in data analysis and signal processing have become more prominent recent years. In this paper, we will look at one of the main tasks modern processing, namely, analog-to-digital (A/D) conversion connection with a simple manifold model — circle. We focus on Sigma-Delta modulation which is popular method for A/D bandlimited signals that employs coarse quantization coupled oversampling. Classical schemes provide mismatches large errors initialization point if to be converted defined our goal get around these problems schemes. Our results show how design an update first second order based reconstruction error such updated scheme improved.