Using a complex analytical signal representation, the free-space propagation properties of ultrashort pulsed Bessel-Gauss beams whose waist width is independent of frequency are studied.

使用复解析信号法研究了束宽与频率无关的超短脉冲贝塞尔·高斯光束在自由空间的传输特性。

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It is concluded that both of the representations are applicable to study narrowband pulse, but for broadband pulse only rigorous complex analytical signal representation should be adopted.

因此，窄带脉冲光束可以采用复振幅包络和复解析信号两种表示式来研究，而对于宽带脉冲光束，必须采用严格的复解析信号表示式。

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Now we depend on signal and power analytical method with high speed and high precision more and more.

这要求我们更加依赖于对信号及电源问题的高速度高精度分析手段。

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