We study vector space interference alignment for the MIMO interference channel with no time or frequency diversity. We prove both necessary and sufficient conditions for alignment. In particular, we characterize the feasibility of alignment for the symmetric three-user channel where all transmitters have M antennas and all receivers have N antennas, as well as feasibility of alignment for the f...

In this paper, we show that the total Degrees-OfFreedoms (DOF) of the K-user Gaussian Interference Channel (GIC) can be achieved by incorporating a new alignment technique known as real interference alignment. This technique compared to its ancestor vector interference alignment performs on a single real line and exploits the properties of real numbers to provide optimal signaling. The real int...

Fractional Interference Alignment (FIA) is a transmission scheme which achieves any value between [0,1] for the Symbols transmitted per Antenna per Channel use (SpAC). FIA was designed in [1] specifically for Finite Alphabet (FA) signals, under the constraint that the Minimum Distance (MD) detector is used at all the receivers. Similar to classical interference alignment, the FIA precoder also ...

Inter-line interference, known as crosstalk, is the most significant source of performance degradation for Digital Subscriber Line (DSL) systems. Vectored DSL is an effective technique for the elimination of crosstalk; however, there are many scenarios in which Vectored DSL is not implementable or practical. Interference alignment is presented as a technique to solve these issues. In particular...

This monograph introduces to the reader the idea of interference alignment, traces its origins, reviews a variety of interference alignment schemes, summarizes the diverse settings where the idea of interference alignment is applicable and highlights the common principles that cut across these diverse applications. The focus is on theoretical aspects.

Interference alignment (IA) is a transmission strategy that attempts to exploit all degrees of freedom available at the transmitter or at the receiver in a multiuser channel. This paper proposes a new scheme named channel aided interference alignment. It makes use of the channel structure beside the linear interference alignment schemes to achieve the optimum degrees of freedom in a K user inte...

Interference alignment is a new technique combining transmitter precoding and receiver interference suppression to achieve the optimal multiplexing gain in interference networks by exploiting knowledge of channel state information of all transmission links. So far closed form solutions for the transmit filters have only been found in certain cases. Also the feasibility of interference alignment...