Digital filters for non uniformly sampled signals

We consider in this paper the problem of designing digital filters for non-uniformly sampled signals with-out any previous reconstruction of the equivalent uni-formly sampled signal. In a first step, we propose a filtering method based on a numerical approximation of the convolution integral or differential equations, which is applicable to finite impulse response filters. The second method uses digitization of an equivalent analog filter and may be applied to infinite impulse re-sponse filters. Numerical examples show the validity of the theoretical analysis. 1