As some have noted, in the analyzer mode, this unit does not have the best resolution, to provide good analysis of an individual signal... So, try using its other modes like modulation detection. Once you identify the frequency of the signal you are concerned with, enter it into the parameters for either AM or FM detection on that frequency.
In these modes, the unit will zoom in on the bandwidth. It will display three markers, with the first being on the center frequency of the signal and the other two, marking the sidebands. To speed up the response time, you can use the fast sweep and set the multiplier to times 10.
Using a whistle around 1khz. or a "Shhh" sound into the mic, will lock the sidebands into place. With the analyzer set to the AM mode, the unit can easily detect if the signal is in the USB or LSB mode, by the lack of energy displayed in the opposing sideband.