This paper proposes a new multi-carrier wideband behavioral model scheme devoted to represent the non-ideal operation of multi-carrier nonlinear devices. This model is able to describe the operation under multi-carrier excitation of a nonlinear device, either the in-band but also the cross-modulation distortion between the input carriers. The proposed design is based on the Volterra series model and is able to attribute varying memory lengths to the different nonlinear clusters. In addition, a parameter extraction procedure that works in parallel for the several nonlinear clusters produced by the nonlinear device will be described. Moreover, the presented wideband behavioral model will be validated using two multisine signals with different bandwidths when traversing a wideband nonlinear device, representing a cognitive radio receiver.