希耳伯特(HILBERT)变换在信号处理中是一个很有用的变换,它揭示了实因果信号频谱的实部和虚部的解析关系;当一个频谱函数有“实因果”限止时,则其相应的时域信号必定是复信号,并且此复信号的实部和虚部互为希耳伯特变换。本文提出的希耳伯特变换的实现方法简单方便,对于要用到这类信号的场合(如单边带信号形成、正交信号的产生等),具有一定的实际意义。 The HILBERT transform is a useful transformation in signal processing that reveals the analytic relationship between the real and imaginary parts of the real causal signal spectrum; when a spectral function has a “real cause” limit, then its The corresponding time domain signal must be a complex signal, and the real and imaginary parts of this complex signal are Hilbert transforms with each other. The implementation of the Hilbert transform proposed in this paper is simple and convenient, and has certain practical significance for applications that need to use such signals (such as single-sideband signal formation and quadrature signal generation).