Signals and Systems Basics: Operations and Classification

Understanding how signals are represented and manipulated is the cornerstone of modern engineering, communications, and digital signal processing. This course provides a clear, step-by-step introduction to the mathematical foundations of signals and systems without requiring advanced prior engineering knowledge. You will start with the absolute basics, learning how to define, classify, and transform continuous-time signals through structured explanations and practical exercises. What you will learn: Understand the core definitions and mathematical representations of signals and systems; Master fundamental operations including time-shifting, time-scaling, and amplitude transformations; Classify signals into key categories such as periodic, aperiodic, even, odd, energy, and power signals; Analyze continuous-time system properties like linearity, time-invariance, and causality; Apply basic mathematical operations to sketch and manipulate complex signal waveforms. The course begins with essential terminology and foundational definitions before guiding you through step-by-step mathematical operations and classifications. Designed specifically for beginners, this text-based course requires only a basic background in algebra and calculus. Start building your foundation in signal processing today.