complex analytical signal theory meaning in English

复解析信号理论

Chapter 2 : the basics equations and the complex analytical signal theory are introduced
第二章：首先介绍了porras提出的超短脉冲光束表达式和复解析信号理论。
In particular , based on the complex analytical signal theory , the solutions for the components of a pulsed gaussian - like beam in rectangular symmetry are derived and compared with those derived from slowly - varying - envelop - approximations ( svea )
本部分给出了时间波形为gauss 、 hyperbolicsecant和lorentz的脉冲光束奇异性的计算模拟，并给出了解决这些奇异性的复解析信号( complexanalyticalsignal )解。