The analyzer's sweep time is not matched to the OFDM changes, so you only see those portions where the signal happens to coincide (in time) with the SA's own instantaneous tuned frequency . Sweep with Max Hold will build up the peak envelope over many sweeps. But you won't be able to discern much detail about the modulation that way. And noise spikes will be "remembered" along with signal, so the amplitude may appear higher than it actually is.
Are you using an amplifier ahead of the SA, to reduce its effective noise figure and increase your dynamic range?
Steve