Due to the data traffic explosion, cellular networks tend to have larger cell density and smaller cell size, which will give rise to significant intercell interference. In this work, we focus on receiver side signal processing techniques to perform intercell interference suppression and successive interference cancellation, where adaptive antenna arrays are used to develop a receiver beamforming approach within an iterative receiver. Specifically, the matrix inversion for calculating the beamforming weights is avoided, which drastically reduce the computational complexity.