PhD Seminars VI
January 21, 2019 –
Gibin Bose (FACTAS)
A Convex Approach to the Finite Dimensional Matching Problem in Communication Systems
The problem of impedance matching in communication systems is to minimize the power reflection that is to be transmitted, by a generator, to a given load within a frequency band. The matching and filtering requirements in classical communication systems are usually satisfied by using a matching circuit followed by a bandpass filter. We propose here to design finite degree matching filters that integrate both matching and filtering requirements in a single device and thereby increase the overall efficiency and compactness of the system. The matching problem is formulated as a convex optimization problem using two rich theories, namely Youla’s matching theory and analytic interpolation. This formulation provides accurate lower hard bounds for the best feasible matching level, as well as the practical synthesis of matching filters approaching those bounds.
Fundamentals of 3D rendering
Realistic rendering of 3D environments is used in many fields, from engineering and design to entertainment. It allows users to replicate the real world, test new concepts and explore virtual sceneries. Replicating the proper behaviour of materials and the many ways light interacts in a scene is a major challenge, sometimes complexified by the requirement of running in real-time. In this talk, I will introduce the fundamental principles of realistic rendering. Building on the theoretical ground provided by the rendering equation, we will cover the main approaches to simulate realistic illumination in 3D scenes, focusing on raytracing and rasterization. Finally, I will present some alternative rendering techniques studied in our team.