  This paper aims to provide a fixed precoding scheme to achieve the Degrees of
Freedom DoF of the generalized ergodic X channel. This is achieved through
using the notion of ergodic interference alignment technique. Accordingly, in
the proposed method the transmitters do not require to know the full channel
state information, while this assumption is the integral part of existing
methods. Instead, a finite-rate feed-back channel is adequate to achieve the
DoF. In other words, it is demonstrated that quantized versions of channel
gains are adequate to achieve theDOF. To get an insight regarding the
functionality of the proposed method, first we rely on finite field channel
models, and then extend the terminology to more realistic cases, including
dispersive fading channels in the presence of quantizer. Accordingly, in a
Rayliegh fading environment, it is shown a feedback rate of
2log(p)+Theta(log(log(p))) can provide the DoF, where $p$ is the total transmit
power.
