So the resolution bandwidth is responsible for the parabolic trace at the center frequency so often displayed on a DSA815?
Should I conclude then the analog CRT based scopes have a much finer resolution bandwidth explaining the very sharp spike like display and
the SignalHound must then have the finest resolution bandwidth to create its almost single line display of the center frequency?
In each case the noise component is distinctive but in the analog crt scopes often displays with an increasing average in the vicinity of the
center frequency.
How does one avoid misinterpreting displayed regions on either side of the center frequency as the amplitude diminishes?
check out
for how the filters affect the measurements.
Spec-ans with the same specs should produce the same result. The DSA815 has a rather dismal RBW of 100 Hz, so you wont be able to resolve any finer than that. The signal hound USB-SA124B has an RBW of 0.1 Hz, so you should be able to get in real close to narrowband signals. Not sure what your analog CRT supports, I'd expect down to 10-1 Hz or so. That will give you the inverted parabolic shape. Once youre in closer than that, the slope coming down the sides of the signal is the phase noise. Either the phase noise of the source, or the phase noise of the SA if you have a nice low phase noise source.
The signal hound and a lot of modern SA's have a FFT input, where if youre under a certain span, it digitizes the downconverted signal samples it for a bit, and runs a FFT on the acquired data. I.e. the signal hound boasts "I/Q Data up to a 240 KHz bandwidth" So they probably have a 1-2MSPS ADC (maybe faster, didnt check ), and they can run a FFT on the data on that. For wider sweeps than that, they can break it into 250KHz chunks and get a FFT on each, or revert to a traditional sweeping SA method.