Lee Jhinhwan
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, South Korea.
Rev Sci Instrum. 2017 Aug;88(8):085104. doi: 10.1063/1.4990810.
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 performance of data acquisition systems and digital feedback control systems.
为了解决许多具有多极线性低通传输特性的物理和电气系统所导致的波形失真和信号延迟问题，提出了一种基于简单数字信号处理（DSP）的方法，用于从失真的输出波形中实时恢复原始源波形。对单极低通传递函数的卷积核表示进行的数学分析表明，通过对失真波形的输入流应用特定的移动平均算法，可以实时准确地恢复原始源波形，这也可以显著降低整体延迟时间常数。该方法被推广到多极低通系统，并且具有低通滤波器特性的倒数的噪声特性。此方法可应用于大多数在接近其频率响应极限下运行的传感器和放大器，以提高数据采集系统和数字反馈控制系统的整体性能。
