The research of my group is at the intersection of digital very-large scale integration (VLSI) circuit and system design, signal and image processing, as well as wireless communication. Our main focus is on integrating computationally complex algorithms into efficient (in terms of power consumption, throughput, and silicon area) application specific integrated circuits (ASICs). We are jointly considering theory, algorithm, architecture, and VLSI implementation aspects, which enables far more efficient solutions than a conventional, atomistic VLSI design approach that solely focuses on architecture and circuit design. Our current research focus is on theory, algorithms, and VLSI circuits and systems for large-scale multiple-input multiple-output (MIMO) wireless systems, real-time signal and image processing applications, as well as analog-to-information (A2I) converters. In all three fields, we not only rely on recent discoveries in compressive sensing, machine learning, graphical models, and convex optimization, but also develop novel theoretical results and computationally efficient algorithms.