Depending on the road and your location...
CSXT - CSX Transportation calls their dispatchers by a two digit alpha....such as the NA Dispatcher, BC dispatcher etc. Its by location. Trains are known by their "Train Symbol". As an example, a CSX automotive train may be known as Q264 (when you break it down is somewhere Ohio ((I think)) to Boston Ma.
NS - Norfolk Southern has a similar setup in which their trains may be known as 12T, 54A etc.
UP - Union Pacific and BNSF - Burlington Nothern Santa Fe use alpha codes with a train type... Such as M-SADSAF - Merchanside train San Diego to San Fransico. On the radio they dispatchers commonly refer to the trains by the first engine number and direction...ie: UP3985 East. That beat spelling out all those letters, but you may still hear the symbol time to time. UP calls their dispatchers by number (DS58 works the Bakersfield Area). I think BNSF still uses district names... such as "Cajon Dispatcher" for that Cajon subdivision.
Most comms are simplex both way...road and yards. This very's by location and old railroad pracitices from previously merged railroads. For example, CSX down MD, DC etc use to to be the Baltimore & Ohio. Most radio channels were semi duplex... Trains called the dispatcher on channel 49 and the dispatcher called the trains on Channel 51.
CSX here in New England bought out part of Conrail. Conrail used 4 basic simplex channels system wide. CSX (and NS) still use the old Conrail channels. Most of the railroads still operate their radio channels the same was as the merged companies did. In some places they convert, but usually not.
Now... as stated above, you may hear things on the road channels which are called defect detectors. Most only check one safety aspect of the train. You have:
Hotbox detectors (HBD)...which essentially check the wheel bearing for overheating.
High car/high-wide detectors which makes sure that a car can clear an obstruction down the line (bridge, tunnel etc)
There are several others, but on the radio you will hear something like:
"UP Detector, mile post xxx (or town/railroad location name) No defects, total axle count xxx over". The verbage will be different between railroads, and even on the same line.
Oh, and before anyone gets bent out of shape, the above train stuff above were examples only..so don't get huffy puffy because a train symbol was wrong! :twisted: