The first step in digital signal processing is analog-to-digital conversion. Classically, the analog signal is sampled via the process described by the Whittaker-Kotelnikov-Shannon theorem (WKS), which requires that the original signal is band-limited. Irregular signals, as are fractal ones, typically do not verify such an assumption. The low-pass filtering necessary to apply the WKS theorem implies then a serious loss of information. Although extensions of the WKS theorem to non-band limited signals do exist, their implementation is typically rather difficult. We propose in this paper a sampling procedure for some classes of non-band limited signal which shares the simplicity of the WKS procedure (involving only bandpass analog filtering and regular sampling). We give a detailed explanation of the implementation of our sampling scheme, and provide some of its theoretical properties. Numerical experiments illustrate the behaviour of the method.