论文标题
人造和天体物理传输的Karhunen-Loève变换的性能分析：降解和检测
Performance analysis of the Karhunen-Loève Transform for artificial and astrophysical transmissions: denoising and detection
论文作者
论文摘要
在这项工作中，我们提出了一种计算Karhunen-Loève变换（KLT）的新方法，该方法应用于复杂的电压数据，以降低天文信号的检测和噪声水平降低。我们将此方法与基于Toeplitz相关矩阵的标准KLT技术进行了比较，并通过蒙特卡洛模拟进行了性能分析，以检测和提取天体物理和人工信号。我们将新方法应用于真实的数据研究案例：Voyager 1遥测信号。我们在天体物理环境中评估了KLT的性能：我们的技术在计算时间方面提供了显着改进，蒙特卡罗模拟显示了信噪比（SNR）的重大重建结果，至-10 dB，以及与标准信号检测技术的可比结果。在人工信号（例如Voyager 1数据）上的应用显示了KLT后SNR的显着增益。
In this work, we propose a new method of computing the Karhunen-Loève Transform (KLT) applied to complex voltage data for the detection and noise level reduction in astronomical signals. We compared this method with the standard KLT techniques based on the Toeplitz correlation matrix and we conducted a performance analysis for the detection and extraction of astrophysical and artificial signals via Monte Carlo simulations. We applied our novel method to a real data study-case: the Voyager 1 telemetry signal. We evaluated the KLT performance in an astrophysical context: our technique provides a remarkable improvement in computation time and Monte-Carlo simulations show significant reconstruction results for signal-to-noise ratio (SNR) down to -10 dB and comparable results with standard signal detection techniques. The application to artificial signals, such as the Voyager 1 data, shows a notable gain in SNR after the KLT.
