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A frequency parameter calculator based on a phase difference method
DOI:10.1016/j.measurement.2021.109549.png)
摘要
En 中文
In this manuscript, based on a phase difference method, the authors proposed an accurate solution for frequency parameters (frequency, amplitude, and phase). In the absence of noise, the instantaneous frequency, amplitude, and phase of a stationary single-tone can be calculated accurately with only five consecutive samples. This characteristic makes the detection of frequency jumping possible. Both stationary single-tone and nonstationary chirp were simulated to verify the effectiveness of the proposed calculator. When calculating a nonstationary chirp's frequency parameters, the estimated instantaneous frequency and instantaneous amplitude fluctuate heavily around their actual value. Fortunately, the instantaneous phase is much more reliable. Since phase is a linear function of frequency, the instantaneous frequency can be re-estimated by differentiating the instantaneous phase. Simulations show the accuracy of the re-estimated frequency is much higher than that of directly calculated.
Keyword:
Instantaneous frequency
Frequency estimation
Symmetric discrete Fourier transform
Accurate solution
Time-frequency analysis
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期刊
IF:
5.6
论文数:
2.1W
被引数:
5.4W
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引用论文
Multifrequency signal analysis by Interpolated DFT method with maximum sidelobe decay windows
MEASUREMENT
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