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

## TL;DR

This paper introduces a real-time digital signal processing method using a moving average algorithm to recover original waveforms distorted by multi-pole low-pass systems, reducing delay and improving data accuracy.

## Contribution

It presents a novel DSP-based approach for real-time waveform recovery applicable to multi-pole low-pass systems, enhancing signal fidelity and reducing delay.

## Key findings

- Effective waveform recovery demonstrated in simulations
- Significant delay reduction achieved
- Applicable to sensors and amplifiers near frequency limits

## Abstract

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.

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Source: https://tomesphere.com/paper/1706.06094