A convex combination of H2 and H∞ filters for space-time adaptive equalization

In this work, H₂ and H_∞ optimization criteria are briefly discussed and evaluated in the context of adaptive space-time channel equalization. While the first criterion presents better mean performance, the second one is more appropriate for “worst case” situations. This suggests a combination of their characteristics. The paper proposes a convex combination of the H₂ and H_∞ filters, which leads to a novel equalizer structure that performs, in terms of mean square error, as well as or better than the best individual filter.