Signal is the electrical voltage/current carries the messages to be communicated in a refined manner with out distortion and small & large makes no such difference if measured in terms of voltage or current.
The small signal model accounts for the behavior which is linear around an operating point. When the signal is large in amplitude (say more than 1/5 of VCC, a rule of thumb) the behavior becomes non linear and we have to use the model which accounts for non-linearity , and thus called large signal model.
If there is difference between S parameters graph calculated vs the s parameters graph given in data sheet in an amplifier in small signal analysis, what does it mean?