%0 Journal Article %T Grouping Based Blind Interference Alignment for $K$-user MISO Interference Channels %A Heecheol Yang %A Wonjae Shin %A Jungwoo Lee %J Mathematics %D 2015 %I arXiv %X We propose a blind interference alignment (BIA) through staggered antenna switching scheme with no ideal channel assumption. Contrary to the ideal assumption that channels remain constant during BIA symbol extension period, when the coherence time of the channel is relatively short, channel coefficients may change during a given symbol extension period. To perform BIA perfectly with realistic channel assumption, we propose a grouping based supersymbol structure for $K$-user interference channels which can adjust a supersymbol length to given coherence time. It is proved that the supersymbol length could be reduced significantly by an appropriate grouping. Furthermore, it is also shown that the grouping based supersymbol achieves higher degrees of freedom than the conventional method with given coherence time. %U http://arxiv.org/abs/1504.07544v1