This paper concerns the stabilization of two-input two-output (TITO) discrete-time linear time-invariant (LTI) systems over parallel additive white noise (AWN) channels, in which each individual channel is independently constrained in SNR. Necessary and sufficient conditions for stabilizability are obtained on the SNR's of the channels, in terms of the unstable poles and non minimum phase zeros of the plant, for both state and output feedback control. © 2012 IFAC.