Real-time digital signal recovery for a multi-pole low-pass transfer function system

摘要

In order to solve the problems of waveform distortion and signal delay bymany physical and electrical systems with multi-pole linear low-pass transfercharacteristics, a simple digital-signal-processing (DSP)-based method ofreal-time recovery of the original source waveform from the distorted outputwaveform is proposed. A mathematical analysis on the convolution kernelrepresentation of the single-pole low-pass transfer function shows that theoriginal source waveform can be accurately recovered in real time using aparticular moving average algorithm applied on the input stream of thedistorted waveform, which can also significantly reduce the overall delay timeconstant. This method is generalized for multi-pole low-pass systems and hasnoise characteristics of the inverse of the low-pass filter characteristics.This method can be applied to most sensors and amplifiers operating close totheir frequency response limits to improve the overall performances of dataacquisition systems and digital feedback control systems.