Well it seems to me that you are an employee and asked to leave the position because your employer found you as an underperformer or you were not performing /performed according to their expectation.
Well if I am right, you need to go through your appointment letter first and give us the details about it. What term & conditions of notice period says in this regard is matter here, which will enable us to say more appropriate about it.
Also, I second, Ms (Cite Contribution), would like to remind you that you have agreed on the terms and conditions of employment through signing appointment letter which is a mutual agreement between both parties (Employee and Employer), and if your appointment letter conditions allow them to ask you to leave the position as you are an underperformer or not performing even after provided chances, you have to leave without expecting notice period benefits to employee in this regard.
Hope now you are cleared with the things. However, if you still have any question, please furnish more details as requested above by her and me as well