**1. Introduction**

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Multiple antennas are a must in today's mobile device providing high data rates and/or large communication range. At the same time, as mobile terminal volume is not enlarged, the level of electronic interferences inside mobile terminals is increased. When observing the flow of data through the terminal energy dissipation of many electronic components interlaced with numerous data metallic wires is detected. Apart from dissipation, all these components also capture some energy dissipated from another source. This undesirable transfer of energy between physical mediums, like metallic wires or circuit segments, is known as coupling. It is likely to occur either in a place where no energy dissipation protection is available due to the lack of space, or where economic electronic elements are used in order to decrease the costs of the product. The interior of mobile receiver terminal fulfils both assumptions and coupling results in an irreducible error floor urging the development of coupling cancellation methods.

In this chapter coupling cancellation module, based on two simulated quenching (SQ) methods, is presented and analyzed. The development of these methods was stimulated by Simulated Annealing (SA) approach which can statistically guarantee finding an optimal solution, as shown in [12], if sufficient number of iterations is available. Since standard SA approach is time-consuming, we decided to ignore physical analogy. Hence, two SQ methods evolved: standard SQ which focuses on precision and Improved Fast SQ where search progress is accelerated on the cost of the decoupling precision.
