A Javascript Array That Can Respond To Changes

Is it possible to have a JavaScript object that works just like a
standard Array, except that when the array is modified, a function
gets called which can then do some processing on the array?

Like this:
// SpecialArray has a function called Notify
function Notify()
{
// process the array with changes made
}
var myarray = new SpecialArray("zero", "one", "two", "three");
myarray[1] = "ein"; // after this change is made, function "Notify"
is called

I know you can derive a new object from Array, but you cannot directly
override the [] operator.

Can you add a function or event handler to a regular Array object that
gets called when the array changes?