Methods and systems for designing and making signal-processor circuits with internal companding, and the resulting circuits

摘要

Electrical filter or signal processor circuits are provided with internal companding for reduced sensitivity to noise while input-output response is as conventionally specified. In the continuous-time case, for a specified circuit described by state equations with a state vector x(t), state equations are derived of an equivalent companding circuit having a state vector w(t)=G(t)x(t), where G(t) is a suitably chosen matrix. G(t) may be chosen for instantaneous or syllabic companding of the state vector. A corresponding technique applies to discrete-time circuits.