The design of custom integrated circuits is an instance of the more general problem of the design of complex systems. Certainly if circuits are to be designed that contain between half a million and a million transistors, then techniques for the design of complex systems must be introduced that will assure quick, correct, and economical construction of the fabricated circuits. The established m...

The current density of integration circuits, yields extremely complex Systems-on-a-Chip (SoCs) that take a long time to design and develop and thus, many times, they miss the market window for these products. This has motivated intensive research on High-level Synthesis (HLS) methodologies, so that such complex and custom systems are rapidly designed and prototyped. The contribution of this wor...

After the introduction of frame potentials by Benedetto and Fickus, there was an explosion of new results in frame theory. The generalization of this notation to weighted frame potentials yields a physical interpretation for finite frames along the lines of Coulomb’s law in physics. This allows us to use results from classical mechanics to anticipate new results in frame theory. All of this res...