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The Polyphase Prony Method
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DOI：10.1109/MSP.2022.3148712.png)
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摘要
En 中文
Frequency and damping factor estimation, i.e., modal signal analysis, is a very important technical topic [1]-[11]. The Prony method [3] is widely used for frequency and damping estimation [4], [5] and is quite popular, although it suffers from poor noise immunity. In this article, we present a simple-to-implement trick, without any additional computational load, that improves the noise immunity of the Prony method. It is based on the proper selection of the sampling frequency [6]-[11], which seems to be overlooked in the signal processing community, or application of polyphase decomposition [12] to already acquired oversampled signals [10]. It is explained that having approximately four samples for the signal cycle is beneficial since if the sampling frequency is approximately four times the signal frequency, then approximate diagonalization of the 2 x 2 signal autocorrelation matrix occurs for a single damped sinusoid, which further results in its robust inversion in the linear prediction (LP) solution.
Keyword:
Damping
Time-frequency analysis
Noise reduction
Estimation
Signal sampling
Frequency estimation
Matrix decomposition