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Defining a sound shift operator for signals existing on a certain graph structure, similar to the well-defined shift operator in classical signal processing, is a crucial problem in graph signal processing, since almost all operations, such as filtering, transformation, prediction, are directly related to the graph shift operator. We define a set of energy… (More)

Defining a sound shift operator for signals existing on a certain graphical structure, similar to the well-defined shift operator in classical signal processing, is a crucial problem in graph signal processing. graph shift operator. We define a unique shift operator that satisfies all properties the shift operator as in the classical signal processing,… (More)

We propose a resource sharing scheme between a primary pair (which owns the spectrum resources) and a secondary pair (which owns a relay infrastructure) in a collaborative manner. The secondary network allows the primary pair to use the relays in order to establish a bidirectional communication between its transceivers. In exchange for this cooperation, the… (More)

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

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