Exponential parameters measurement using a modified Prony method

P. Dupuis, T. Sels, J. Driesen, R. Belmans
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引用次数: 16

Abstract

The Prony method is aimed at fitting a number of exponentials to some measured curve. Despite recent advances in the computational aspects, this method can be very sensitive to noise when the sampling rate is inadequate. A novel approach addressing this problem will be presented, allowing for some degrees of freedom in choosing how to cope with inadequate sampling without resorting to decimation. This method has been applied to the problem of determining the parameter of a voltage waveform (capacitor discharge) registered in a High Voltage laboratory. The amplitude and time constant have been accurately determined, although a lot of noise was present on the measured data.
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用改进的proony方法测量指数参数
proony方法的目的是拟合一些指数到一些测量曲线。尽管最近在计算方面取得了进展,但当采样率不足时,这种方法对噪声非常敏感。将提出一种解决这个问题的新方法,允许在选择如何处理采样不足而不诉诸抽取方面有一定程度的自由。该方法已应用于确定高压实验室中电压波形(电容器放电)参数的问题。虽然测量数据中存在大量的噪声,但振幅和时间常数已被准确地确定。
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