Greetings:
Indeed, windowed functions are NOT fully recoverable...it's analogous to using a lossy compression code. If you've tried using all the inverse functions, and it still doesn't work, you might try capturing the data without a window, and using a frequency domain filter before any FFT conversions. YOur results won't have the "Brick Wall" that a window does, but still might be usable.
Just a suggestion
ERic
Eric P. Nichols
P.O. Box 56235
North Pole, AK 99705