  In order to solve the problems of waveform distortion and signal delay by
many physical and electrical systems with multi-pole linear low-pass transfer
characteristics, a simple digital-signal-processing (DSP)-based method of
real-time recovery of the original source waveform from the distorted output
waveform is proposed. A mathematical analysis on the convolution kernel
representation of the single-pole low-pass transfer function shows that the
original source waveform can be accurately recovered in real time using a
particular moving average algorithm applied on the input stream of the
distorted waveform, which can also significantly reduce the overall delay time
constant. This method is generalized for multi-pole low-pass systems and has
noise characteristics of the inverse of the low-pass filter characteristics.
This method can be applied to most sensors and amplifiers operating close to
their frequency response limits to improve the overall performances of data
acquisition systems and digital feedback control systems.
