java: pass an object and return same object's type

I have an abstract class A

public astract class A{
   public abstract A f(A a) throws IllegalArgumentException;
};

but I want object a passed to f to have the same type of the object itself and return an object of same type, otherwise throw an IllegalArgumentException. How can I implement that one time for all subclasses? There is a way to do that at the class A level?