Information Loss and Anti-Aliasing Filters in Multirate Systems

TitleInformation Loss and Anti-Aliasing Filters in Multirate Systems
Publication TypeConference Paper
Year of Publication2014
AuthorsGeiger, B., & Kubin G.
Conference NameInt. Zurich Seminar on Communications
Conference LocationZurich, Switzerland

This work investigates the information loss in a decimation system, i.e., in a downsampler preceded by an anti-aliasing filter. It is shown that, without a specific signal model in mind, the anti-aliasing filter cannot reduce information loss, while for a simple signal-plus-noise model it can. For the Gaussian case, the optimal anti-aliasing filter is shown to coincide with the one obtained from energetic considerations. For a non-Gaussian signal corrupted by Gaussian noise, the Gaussian assumption yields an upper bound on the information loss, suggesting filter design principles based on second-order statistics.

Citation Key2865
Refereed DesignationRefereed
GeigerKubin_Filters.pdf123.6 KB