The need to deal with non-homogeneous clutter has driven much of the recent research in space-time adaptive processing (STAP). This paper presents an extension of the low-complexity, sigma-delta (ΣΔ) algorithm incorporating the direct data domain (D 3 ) processing. The new algorithm is practical and improves target detection in non-homogeneous clutter environments. The algorithm employs a hybrid approach, combining D 3 processing with the more traditional statistical approach, thereby obtaining advantages of both. In this paper, first, a modified D 3 algorithm, which maximizes signal-to-interference-plus-noise ratio, is presented. Then this D 3 algorithm is used as an adaptive transformer to create sum (Σ) and difference (Δ) beams. The residual interference after the D 3 processing is further cancelled by ΣΔ STAP. The proposed hybrid algorithm using D 3 -ΣΔ STAP is tested in non-homogeneous clutter modelled using spherically invariant random variables (SIRV) and artificially injected discrete interferers. Performance of the proposed methods is compared with those of traditional statistical approaches, illustrating significant benefits of hybrid processing in non-homogeneous scenarios.