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Two coexisting ad-hoc networks, primary and secondary, are considered, whereeach node of the primary network has a single antenna, while each node of thesecondary network is equipped with multiple antennas. Using multiple antennas,each secondary transmitter uses some of its spatial transmit degrees of freedom(STDOF) to null its interference towards the primary receivers, while eachsecondary receiver employs interference cancelation using some of its spatialreceive degrees of freedom (SRDOF). This paper derives the optimal STDOF fornulling and SRDOF for interference cancelation that maximize the scaling of thetransmission capacity of the secondary network with respect to the number ofantennas, when the secondary network operates under an outage constraint at theprimary receivers. With a single receive antenna, using a fraction of the totalSTDOF for nulling at each secondary transmitter maximizes the transmissioncapacity. With multiple transmit and receive antennas and fixing all but oneSTDOF for nulling, using a fraction of the total SRDOF to cancel the nearestinterferers maximizes the transmission capacity of the secondary network.

Transmission Capacity of Spectrum Sharing Ad-hoc Networks with Multiple Antennas