next up previous
Next: Regularization Up: EE381K Multidimensional Digital Signal Previous: Inverse Filter Solution

Wiener Filter

   figure64
Figure 3: The Wiener filtering solution for image restoration.

The Wiener filter tex2html_wrap_inline344 is the one that minimizes

displaymath326

If the measurement noise is white, this gives

displaymath327

The Wiener filtering approach is shown in Fig. 3.

Advantages

  1. Begins to exploit signal
  2. Controls output error
  3. Straightforward to design

Disadvantages

  1. Results often too blurred
  2. Spatially invariant


Brian L. Evans