Editing Deconvolution (section)

===Deconvolution with noise===

In physical measurements, the situation is usually closer to

: <math>(f * g^{-1})  + \varepsilon  = h \, </math>

In this case ''&epsilon;'' is [[noise (physics)|noise]] that has entered our recorded signal.  If a noisy signal or image is assumed to be noiseless, the statistical estimate of ''g'' will be incorrect.  In turn, the estimate of ''&fnof;'' will also be incorrect.  The lower the [[signal-to-noise ratio]], the worse the estimate of the deconvolved signal will be. That is the reason why [[inverse filter]]ing the signal (as in the "raw deconvolution" above) is usually not a good solution. However, if at least some knowledge exists of the type of noise in the data (for example, [[white noise]]), the estimate of ''&fnof;'' can be improved through techniques such as [[Wiener deconvolution]].