Various embodiments described herein are directed to methods and systems for blind mode adaptive equalizer system to recover complex valued data symbols from the signal transmitted over time-varying dispersive wireless channels. For example, various embodiments may utilize an architecture comprised of a channel gain normalizer, a blind mode equalizer with hierarchical structure (BMAEHS) comprised of a level 1 adaptive system and a level 2 adaptive system, and an initial data recovery subsystem. The BMAEHS may additionally be comprised of an orthogonalizer for providing a faster convergence speed. In various architectures of the invention, the BMAEHS may be replaced by a cascade of multiple equalizer stages for providing computational and other advantages. Various embodiments may employ either linear or decision feedback configurations. In the communication receiver architectures, differential encoders and decoders are presented to resolve possible ambiguities. Adaptive digital beam former architecture is presented.