Piecewise linear operators on sigma-delta modulated signals and their application

Piecewise linear (PWL) circuit modules operating on sigma-delta (SigmaDelta) modulated signals and nonlinear signal processors built of these modules are proposed. The proposed module library includes absolute circuits, min/max selectors and negative resistances. Their output signal-to-noise ratio is higher than 50 dB when their oversampling ratio is 2(8). A nonlinear filter and a stochastic resonator are presented as applications of the PWL modules to SigmaDelta domain signal processing. The filter is structured with 37% of logic gates consumed by an equivalent filter with a 5-bit parallel signal form.