Foundations of Signals and Systems: Properties and Analysis

Signals and systems form the backbone of modern engineering, from audio processing to telecommunications. Understanding how to classify signals and analyze system behavior is the first critical step toward mastering digital signal processing and communication systems. In this text-based course, you will transition from a beginner to a confident analyst of signal properties and system characteristics. Through clear written explanations, step-by-step mathematical breakdowns, and practical exercises, you will learn to mathematically define, manipulate, and analyze both continuous-time and discrete-time signals. What you'll learn: - Understand foundational terminology, including continuous-time versus discrete-time signals. - Calculate essential signal metrics such as energy, power, and periodicity. - Perform mathematical operations on signals, including time-shifting, scaling, and reversal. - Analyze core system properties such as linearity, time-invariance, causality, and stability. - Explore modern digital representations of signals and basic sampling concepts. The course begins with basic signal definitions and classifications before moving into mathematical operations and properties. You will then progress to system analysis, learning how to test systems for stability, memory, and linearity using structured written examples. This course is designed for beginners in engineering, computer science, or physics. No prior background in signal processing is required, though a basic understanding of algebra and calculus will help you get the most out of the written exercises. Start reading today to build a rock-solid foundation in signal and system analysis.