The BB60C would be the only current option for this. It has 27 MHz of instantaneous bandwidth.
In zero span mode, video triggered, you could trigger on the rising edge of the pulse, and observe e.g. 1 microsecond before rising edge and 19 microseconds after, and make measurements on the instantaneous amplitude (including pulse width at 25 nanosecond resolution), frequency, and relative phase of the pulse.
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