How do I deserialize XML into an object using a constructor that takes an XDocument?

I have a class:

public class MyClass
{
   public MyClass(){}
}

I would like to be able to use an XMLSeralizer to Deserialize an XDocument directly in the constructor thus:

public class MyClass
{
   private XmlSerializer _s = new XmlSerializer(typeof(MyClass));

   public MyClass(){}
   public MyClass(XDocument xd)
   {
      this = (MyClass)_s.Deserialize(xd.CreateReader());
   }
}

Except I am not allowed to assign to "this" within the constructor.

Is this possible?