File:Hall2006 Adding noise.png

Summary
The effect of adding noise. (a) A 32 Hz signal, with 128 ms Hann taper applied. The total signal length is 512 ms, to give good sampling in frequency. (b) The spectrum shows a good peak at 31.25 Hz (the nearest sample to 32 Hz), but with some leakage. (c) The same signal with 30% Gaussian noise added. (d) Its spectrum, showing considerable localization uncertainty, with a peak anywhere in the range 25 to 37 Hz.