Comparative Study of VLF Cutoff Frequency Extraction Methods for the Earth–Ionosphere Waveguide
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摘要: 地–电离层波导第一截止频率是表征低电离层 D 区有效反射高度的关键参数,其提取结果对方法选择高度敏感。本文基于 DEMETER 卫星 2006–2009 年夜间 VLF 电场功率谱数据,系统比较了截止频率提取中的关键技术方案,包括 Toledo 局部极小值法与 V 形判据法、先检测后平均与先平均后检测两种统计顺序,以及连续点合并策略。以中太平洋海域 55°N–55°S 范围内 7 个代表性纬度网格为例,评估不同方案的检测性能及其对反射高度估计的影响。结果表明,Toledo 方法检测覆盖率较高但正确率较低(26.4%),V 形判据法检测数量较少但正确率显著更高(66.8%);先平均后检测策略在高纬区域失效,并导致截止频率系统性低估 15–40 Hz;连续点合并策略对结果影响较小(约 12 Hz)。采用 V 形判据法并结合先检测后平均与合并策略反演得到的全球 VLF 反射高度分布显示,海洋区域反射高度低于陆地,赤道大西洋和印度洋存在持续性低反射高度带,中高纬地区具有显著的季节变化。综合分析认为,V 形判据法结合先检测后平均策略更适用于截止频率及低电离层 D 区反射高度的气候学研究。
Abstract: The first cutoff frequency of the Earth–ionosphere waveguide is a key parameter for characterizing the effective reflection height of the lower ionospheric D region, and its retrieval is highly sensitive to methodological choices. Using nighttime VLF electric field power spectra measured by the DEMETER satellite during 2006–2009, this study systematically compares critical procedures involved in cutoff frequency extraction, including two identification methods (the Toledo local minimum method and the V-shaped criterion), two statistical sequences (detect-then-average versus average-then-detect), and a continuous-point merging strategy. Seven representative latitude grids spanning 55°N to 55°S over the central Pacific Ocean are selected to evaluate detection performance and its impact on reflection height estimation. The results show that the Toledo method achieves higher detection coverage but with a relatively low accuracy (26.4%), whereas the V-shaped criterion yields fewer detections but a significantly higher accuracy (66.8%). The average-then-detect strategy fails completely at high latitudes and leads to a systematic underestimation of the cutoff frequency by approximately 15–40 Hz. The continuous-point merging strategy has a relatively minor influence, with differences of about 12 Hz. The global distribution of VLF reflection heights derived using the V-shaped criterion combined with the detect-then-average and merging strategy indicates that reflection heights over oceans are generally lower than those over land, persistent low-reflection-height bands exist over the equatorial Atlantic and Indian Oceans, and pronounced seasonal variations with amplitudes of 10–15 km occur at middle and high latitudes. Overall, the results suggest that the V-shaped criterion combined with the detect-then-average strategy is more suitable for climatological studies of cutoff frequency and lower ionospheric D-region reflection height.
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