A Lattice-Theoretic Characterization of Optimal Minimum-Distance Linear Precoders

Construction of (sometimes) Optimal Linear Codes

For the purpose of error correcting linear codes over a finite field GF (q) and fixed dimension k we are interested in codes with high minimum distance d as these allow the correction of up to b(d− 1)/2c errors. On the other hand we are interested in codes with minimum redundancy, i.e. codes of small length n. High minimum distance and small length are controversial goals for the optimization o...

On the Role of MMSE in Lattice Decoding: Achieving the Optimal Diversity-vs-Multiplexing Tradeoff

In this paper, we introduce the class of lattice space-time codes as a generalization of linear dispersion (LD) coding. We characterize the diversity-vs-multiplexing tradeoff achieved by random lattice coding with lattice decoding. This characterization establishes the optimality of lattice vertical codes when coupled with lattice decoding. We then generalize Erez and Zamir mod-Λ construction t...

Optimal Precoder for MIMO Schemes in Indoor Wireless VLC Systems

In multiple-input multiple-output (MIMO) indoor visible light communication (VLC) systems, channel gains are highly correlated. As a result, the bit error rate (BER) of the system is degraded. To improve the BER performance of the system, we propose two precoders, namely, an optimal precoder and a diagonal precoder for MIMO schemes in VLC systems with Nt light emitting diodes (LED) and Nr photo...

Généralisation des précodeurs MIMO basés sur la distance euclidienne minimale. (Generalized minimum Euclidean distance based precoders for MIMO spatial multiplexing systems)

Design of Optimal Process Flowsheet for Fractional Crystallization Separation Process

A procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. The method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. The main advantage of this systematic procedure with respect to other reported procedures is using non-equilibri...