Adnan Gavili

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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. Since almost all operations, such as filtering, transformation, prediction, etc., are directly related to the graph shift operator. We define a(More)
Assuming a bidirectional relay assisted network, we study the problem of optimal resource sharing between two transceiver pairs. One pair, referred to as the primary pair, is considered to be the owner of the spectral resources. The rates of the two transceivers in this pair must be guaranteed to be greater than a predefined threshold. The second pair,(More)
This paper proposes a new long term scheduling for optimal allocation and sizing of different types of Distributed Generation (DG) units in the distribution networks in order to minimize power losses. The optimization process is implemented by continuously changing the load of the system in the planning time horizon. In order to make the analysis more(More)
We present a resource sharing scheme where two transceiver pairs share their resources in a collaborative manner. The two transceivers in each pair wish to communicate bidirectionally through several distributed relays. We assume that one of the pairs is the primary pair, meaning that it owns radio frequency spectrum resources and needs to be serviced with(More)
Designing an efficient scheme in physical layer enables cognitive radio (CR) users to efficiently utilize resources dedicated to primary users (PUs). In this paper in order to maximize the SU's throughput, the SU's transceivers beamforming is designed through new model considering the presence of the PU's transmitter. Since presence of primary transmitter(More)
We consider a network consisting of a transceiver-receiver pair and n<sub>r</sub> relay nodes. We assume that there is no direct link between the transmitter and the receiver. Assuming an amplify-and-forward relaying protocol, the relays collectively materialize a network beamformer to establish a link between the transmitter and the receiver. The(More)
Considering a bidirectional collaborative scheme, we study the problem of resource sharing between two transceiver pairs in a multi-carrier scenario. One pair, referred to as the primary pair, is considered to be the owner of the spectral resources, meaning that the rates of its users must be guaranteed to be greater than a predefined threshold. It is(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)