STF optimization of 1-bit CT ΣΔ modulators based on scaled loop filter coefficients

This paper presents how the optimization of continuous-time (CT) ΣΔ modulators by scaling the loop filter coefficients affects the signal transfer function (STF) and in which way the method can be used to reduce peaking in the STF. It is shown that, depending on the initial design, it is possible to define optimized parameter sets with increased performance and remaining flat STF or sets with constant performance and reduced STF peaking. Therefore, the system is first described as switched system to analyse its behaviour in the state space. The different effects of the optimization method on the STF are demonstrated on two example systems with differently designed noise transfer functions (NTF).