Convolution of an even number of points

Suppose the blurring vector b, the second argument, contains an even number of points. The preferred lengths are powers of 2. The convolution is done using fast Fourier transforms. The following restrictions apply:

Noise in b produces a change in the output, which, due to averaging, has a small effect. Noise effects depend on the shape of the deconvoluted peak.

The narrower this peak, the more effect the noise in b has. This occurs because each noisy point becomes a greater percentage of the total number in the convoluted result, thus reducing the average effect. In many applications, the noise in the measured data is statistical in nature and so, to reduce the sensitivity to this noise on the convolution, apply smoothing filters on the measured data before convolution.

  Convolution of an odd number of points