In this paper we analyze the optimal number and locations of fixed radio relay stations forming multi-hop links in infrastructure-based wireless networks. Under the assumptions of using orthogonal channels for the hops and all links having the same average path loss exponent, we show using the spectral efficiency as a metric that the optimal relay locations are at equal intervals along the straight line between source and destination whenever multihop is to be utilized. We show that a single-hop fixed radio link can be efficiently (from a spectral efficiency perspective) replaced with the multi-hop link only if the single-hop SNR has a relatively low value. We introduce a "multi-hop criterion" to quantify the single-hop SNR value below which a more efficient multi-hop replacement exists. We also determine the optimal number of hops for the multi-hop links having relays disposed in straight line at equal intervals.

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Conference GLOBECOM'05: IEEE Global Telecommunications Conference, 2005
Florea, A. (Adrian), & Yanikömeroǧlu, H. (2005). On the optimal number of hops in infrastructure-based fixed relay networks. In GLOBECOM - IEEE Global Telecommunications Conference (pp. 3242–3247). doi:10.1109/GLOCOM.2005.1578374