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。
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.
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。
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.
建议了一种基于复解析小波变换的瞬时频率分析齿轮故障振动信号的方法。 该方法将希尔伯特变换与小波变换相结合，具有自适应分析能力。
A method using transient frequency based on complex-analytical- wavelet-transform, which combines Hilbert transform with wavelet transform and possesses adaptive analytical ability, is proposed.
建议了一种基于复解析小波变换的瞬时频率分析齿轮故障振动信号的方法。 该方法将希尔伯特变换与小波变换相结合，具有自适应分析能力。
A method using transient frequency based on complex-analytical- wavelet-transform, which combines Hilbert transform with wavelet transform and possesses adaptive analytical ability, is proposed.
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