Bias errors introduced by systems designed to measure low-frequency tr
ansients negate zero-mean assumptions on the measurement noise. On-lin
e signal processing methods that require accurate low-frequency inform
ation can be adversely affected by bias errors. On-line integration of
dynamic signals is a classical example of a process that is unstable
in the presence of bias errors. Accurately integrated quantities (like
velocity and displacement), from easily measured quantities (like acc
eleration), can inform control systems and reduce on-line computationa
l burdens. This article introduces a feedback stabilization method for
a hybrid digital-analog integrator. The analytical performance of thi
s integrator is compared to a filtered analog integrator in the time a
nd frequency domains. For wide-band random signals, the analog circuit
performs well with respect to linearity and hysteresis, but does less
well for long-period signals. A stabilized hybrid analog-digital inte
grator has exceptional accuracy when integrating long-period signals,
but produces phase and bias errors when integrating wide-band signals.
The integrators examined in this study are unconditionally stable and
robust to bias on the input, internal bias currents in the operationa
l amplifiers, and finite slew rates of the components. (C) 1998 Americ
an Institute of Physics.