In this paper, an optimal filter design procedure is described, from the equation representing the behaviour of a ΣΔ modulator to a functional algorithm. The first section shows the design of an optimal filter for a first-order ΣΔ 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.
Colin Neil Jones, Francisco Fernandes Castro Rego
Alfio Quarteroni, Andrea Manzoni, Stefano Pagani