A simple SINR characterization for linear interference alignment over uncertain MIMO channels

On the Achievable Degrees of Freedom of Two-Cell Multiuser MIMO Interference Networks

“…Constraint (10) represents that the decoding matrices project the interference onto the interference subspace which is separated from the desired signal. Constraint (11) ensures that the desired signal vectors at each BS span all the available interference-free subspace.…”

“…According to (10), in order to ensure interference-free transmission for user (k, [a]), the number of transmit data streams for user (k, [a])…”

“…Gou and Jafar [4] as well as Ghasemi et al [5] presented a theoretical analysis of inner and outer bounds of the number of DoF for the K-user MIMO interference channel. Iterative distributed algorithms were proposed for precoding and decoding designs with the objective of minimizing the interference leakage on the signal subspace for MIMO interference networks [6]- [10]. The feasibility of linear IA for the MIMO interference channel was studied in [8], [25], [26].…”

User admission in MIMO interference alignment networks

“…Examples of W i in (2) are the linear equalizer presented in [7] and the projection matrix presented in [3]. We assume the set of {M i , N i , d i , K a }, ∀i, is feasible [6].…”

“…Assume a non-unique basis for the interference subspace at the i th active user receiver is given as the columns of C i . We assume, each active user is transmitting the maximum number of allowed streams and then, each active user receiver utilizes a zero-forcing equalizer given by [7] to recover its data.…”