FROG-measurement based phase retrieval for analytic signals

While frequency-resolved optical gating (FROG) is widely used in characterizing the ultrafast pulse optics, analytic signals are often considered time-frequency analysis and signal processing, especially when extracting instantaneous features of events. In this paper we examine phase retrieval (PR) problem CN by their FROG measurements. After establishing ambiguity FROG-PR signals, found that even lengths different from odd lengths, it also case B-bandlimited with B≤N/2. The existing approach to bandlimited can be applied but does not apply length case. With help two relaxed problems a translation technique, develop an for prove generic uniquely (up ambiguity) determined (3N/2+1) Phase derivative (or frequency) significant feature analysis. As application our main result, established determine derivatives decaying exploiting ambiguity.