Hilbert transform

例句：

1. 1. In the field of signal processing, the Hilbert transform is used to remove noise from signals.
   在信号处理领域，希尔伯特变换用于从信号中去除噪声。
2. 2. The Hilbert transform is a powerful tool for analyzing complex systems.
   希尔伯特变换是分析复杂系统的强大工具。
3. 3. The Hilbert transform can be used to detect and analyze the frequency components of a signal.
   希尔伯特变换可以用于检测和分析信号的频率成分。