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[IEEE 2019 IEEE Workshop on Power Electronics and Power Quality Applications (PEPQA) - Manizales, Colombia (2019.5.30-2019.5.31)] 2019 IEEE Workshop on Power Electronics and Power Quality Applications (PEPQA) - Determination and Performance Analysis of the Norton Equivalent Models for Fluorescents and LED Recessed Lightings

DOI:10.1109/pepqa.2019.8851554 出版年份:2019 更新时间:2025-09-23 15:21:01
摘要: For long-wavelength space-based radars, such as the P-band radar on the recently selected European Space Agency BIOMASS mission, system distortions (crosstalk and channel imbalance), Faraday rotation, and system noise all combine to degrade the measurements. A first-order analysis of these effects on the measurements of the polarimetric scattering matrix is used to derive differentiable expressions for the errors in the polarimetric backscattering coefficients in the presence of Faraday rotation. Both the amplitudes and phases of the distortion terms are shown to be important in determining the errors and their maximum values. Exact simulations confirm the accuracy and predictions of the first-order analysis. Under an assumed power-law relation between σhv and the biomass, the system distortions and noise are converted into biomass estimation errors, and it is shown that the magnitude of the deviation of the channel imbalance from unity must be 4–5 dB less than the crosstalk, or it will dominate the error in the biomass. For uncalibrated data and midrange values of biomass, the crosstalk must be less than ?24 dB if the maximum possible error in the biomass is to be within 20% of its true value. A less stringent condition applies if the amplitudes and phases of the distortion terms are considered random since errors near the maximum possible are very unlikely. For lower values of the biomass, the noise becomes increasingly important because the σhv signal-to-noise ratio is smaller.
作者: Shaun Quegan,Mark R. Lomas
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Investigating the effects of system distortions (crosstalk and channel imbalance), Faraday rotation, and system noise on the measurements of the polarimetric scattering matrix and their impact on biomass estimation.

The study provides first-order approximations to the errors in polarimetric backscattering coefficients caused by system distortions and noise in the presence of Faraday rotation, offering insights into the factors controlling these errors. It demonstrates that the channel imbalance causes greater errors in σhv than crosstalk if their amplitudes are comparable and that the phases of the distortion terms significantly affect the size of the errors. The study also shows that errors near the largest possible value are very unlikely to occur if the phase and amplitude errors are considered random.

The study assumes a known power-law relationship between the biomass and the cross-polarized backscattering coefficient, which may not hold in all scenarios. It also does not account for terrain effects or statistical fluctuations in the estimates of the covariance terms.

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