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Abstract Lattices can be openly described as periodic arrangements of discrete points in a multidimensional space. This simple structure can be found repetitively in nature. Study of lattices have yielded widespread use in pure mathematics, and have found applications in numerous other fields as diverse as cryptography/cryptanalysis, geometry of numbers, factorization of integer polynomials, materials science and solid-state physics (specifically crystallography and coding theory. Recently, lattices have also been considered to devise powerful source and channel codes for many communications applications, specifically in scenarios with multiple terminals. In this thesis, the focus is shed on the lattice-based techniques used in wireless communication systems. Specifically, we focus on the use of lattice-based techniques in the interference alignment for MIMO systems and the employment of lattices in conjunction with finite-field LDPC codes to develop lattice constructions that can be used for Unequal Error Protection. |