Wondering about the resconstruction of the input signal when an overlapped windowing function has been applied.
I'm specifically applying a Hamming window with 50% overlap and I wish to reconstruct the input signal.
Here http://www.dsprelated.com/showthread/comp.dsp/105321-1.php it's given that summing the 50% overlapped windows gives a sum of 1.08.
In order to reconstruct the input signal (with the same exact amplitudes), then can I merely subtract the extra ~".08" from all the samples? Or, equivalently, divide by 1.08?
The overlapp-add does not result into the exact same signal though, but there's some miniscule variation for some reason. By testing with an array of 1.0s I get back varying values that are of the form 0.999 ...
I guess reconstructing doesn't always lead to the same exact input signal, depending on the windowing function and the amount of overlap?