In this paper, an optimal filter design procedure is described, from the equation representing the behaviour of a �� mod ulator to a functional algorithm. The first section shows the design of an optimal filter for a first-order �� ADC with a constant input. Next, an algorithm for a time-varying input is detailed. The last algorithm allows an optimal decoding of high-resolution ADCs without an SH circuit.
This paper describes an optimal filter design procedure for a cascaded sigma-delta modulator, starting with a block schematic of a second-order topology and deriving step by step the optimal decoder. The presented filter enhances the resolution of the MASH ADC. The obtained resolution is compared to the classic linear filter.
Abstract-This paper introduces a low-noise, low-power amplifier for high-impedance sensors. An innovative circuit using an auto-zeroed architecture combined with frequency modulation to reject offset and low-frequency noise is proposed and analysed. Special care was given to avoid broadband noise aliasing and chopping in the signal path, and to minimize both the resulting equivalent input offset voltage and equivalent input biasing current. The theoretical noise analysis of the proposed topology covers most of the noise sources of the circuit. Simulations show that the input-referred noise level of the circuit is 13.4nV / √ Hz for a power consumption of 85µA with a power supply from 1.8V to 3.6V.
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