Wiener filter
![Block diagram view of the FIR Wiener filter for discrete series. An input signal w[n] is convolved with the Wiener filter g[n] and the result is compared to a reference signal s[n] to obtain the filtering error e[n].](/Images/godic/202502/20/Wiener_block.svg5233.png")
![Noisy image of astronaut.](/Images/godic/202502/20/Astronaut-noise5234.png")
![Noisy image of astronaut after Wiener filter applied.](/Images/godic/202502/20/Astronaut-denoised5234.png")
In signal processing, the Wiener filter is a filter used to produce an estimate of a desired or target random process by linear time-invariant (LTI) filtering of an observed noisy process, assuming known stationary signal and noise spectra, and additive noise. The Wiener filter minimizes the mean square error between the estimated random process and the desired process.