Ed,
The PowerShot S100 and some other PowerShots have an IR cut filter inside that is about 8 mm by 9 mm. I don't know what the size of the IR cut filter is in the A4000.
To make the cost of that filter worthwhile, you will probably want to get targets for calibrating the process. If you don't do that, it might make more sense to use a simpler red filter like the Wratten 25.
Chris