Transfer function design for ΔΣ converters

A methodology is presented for the design of noise and signal transfer functions for delta-sigma modulators. A computerised optimiser is used to produce maximal noise-shaping, while meeting those constraints necessary to realise a usable modulator. The design of higher-order modulators is possible, as is the design of unique noise-shaping functions such as for bandpass modulators, complex modulators, or modulators with psychoacoustically-shaped in-band noise. Optimisation of the transfer function from modulator input to output is also possible if special conditioning of the input signal is desired