Vandermonde-Lagrange mutually orthogonal flexible transceivers for blind CDMA in unknown multipath

A mutually-orthogonal usercode-receiver (AMOUR) system was previously proposed to guarantee identifiability of transmitted symbols irrespective of channel nulls in addition to offering deterministic multiuser interference (MUI) elimination and low complexity transceivers. Motivated by the desire to equip the AMOUR with added flexibility, we develop in this paper a Vandermonde-Lagrange AMOUR system that achieves the same MUI eliminating property and offers additional advantages in the code assignment procedure. We also derive blind adaptive equalizers within the VL-AMOUR framework and illustrate via simulations that they perform very close to the theoretical bound derived with perfect channel information.