1 Introduction
The performance of wireless mesh networks (WMN) degrades when their size and number of hops increase. The use of multiple channels can significantly improve WMN throughput due to the reduction in the contending transmissions in the frequency domain [1], [2]. The use of directional antennas can further improve the WMN capacity by enhancing the transmission range and spatial reuse. Lately, the use of multi-beam smart antennas (MBSAs) has been investigated in the literature [3], [4]. However, most schemes select channels simply based on the non-interference principle between neighboring links, without considering other important factors (such as the link quality, antenna deafness, and node capture effect); these factors can considerably degrade the network performance.