I'll add another way to measure not only the bandwidth, but the actual frequency response curve.
That works also with a suitable calibrated source but very few oscilloscopes include the needed differentiation and FFT functions. I do not know of any DSOs with bandwidths below 500MHz which do.
If the FFT returns phase results, then aligning the step response with the FFT will also allow the phase response of the oscilloscope to be measured revealing even more about the frequency response. This can also be used for real time VNA measurements albeit with limited dynamic range.
The scope can give FFT phase in addition to magnitude. You may be amazed at the waveform processing in these Lecroys, especially with the advanced options. It's mind boggling. Can you elaborate on "aligning the step response with the FFT"?
I had very recently been very interested in setting up an ad-hoc 2 GHz VNA using the scope and a 2 GHz signal generator (HP 8657B); it hadn't occurred to me to use the pulse response instead. I have some power dividers, directional couplers, terminators, and the pile of cables needed to connect everything. The processing of the result, in particular the calibration, has stopped me as I just haven't any idea how to implement that. Any pointers would be much appreciated.