A synthesis approach to the design of oversampled data converters

A synthesis approach to the generation of a quantized sequence based on an oversampled input sequence is presented. The generation algorithm is chosen to minimize a metric that measures the amount of error power that resides in the bandwidth occupied by the desired signal. The first-order ΔΣ modulator is a special case of the synthesis approach when the input is constant. The synthesis approach has superior in-band noise performance over the first-order ΔΣ modulator for finite oversampling ratios, and superior in-band noise performance over conventional ΔΣ converters of arbitrary order when the oversampling ratio is less than 2.862