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We investigate a collision-sensitive secondary network that intends to opportunistically aggregate and utilize spectrum of a primary network to achieve higher data rates. In opportunistic spectrum access with imperfect sensing of idle primary spectrum, secondary transmission can collide with primary transmission. When the secondary network aggregates more channels in the presence of the imperfect sensing, collisions could occur more often, limiting the performance obtained by spectrum aggregation. In this context, we aim to address the following fundamental query: How much spectrum aggregation is worthy with imperfect sensing? For collision occurrence, we focus on two different types of collision: One is imposed by asynchronous transmission, and the other is imposed by imperfect spectrum sensing. The collision probability expression has been derived in closed form with various secondary network …