Shabtay G, Mendlovic D, Zalevsky Z
Appl Opt. 1998 Apr 10;37(11):2142-4. doi: 10.1364/ao.37.002142.
The Wigner distribution function (WDF) offers comprehensive insight into a signal, for it employs both space (or time) and frequency simultaneously. Whenever optical signals are involved, the importance of the WDF is significantly higher because of the diffraction (or dispersion) behavior of optical signals. Novel optical implementations of the WDF and of the inverse Wigner transform are proposed. Both implementations are based on bulk optics elements incorporating joint transform correlator architecture. A similar implementation is derived for the ambiguity function, which is related to the WDF through Fourier transformation.
维格纳分布函数（WDF）能全面洞察信号，因为它同时利用了空间（或时间）和频率。每当涉及光信号时，由于光信号的衍射（或色散）行为，WDF的重要性就显著更高。本文提出了WDF和逆维格纳变换的新型光学实现方法。这两种实现方法均基于采用联合变换相关器架构的体光学元件。针对模糊函数也推导了类似的实现方法，该函数通过傅里叶变换与WDF相关。
