A signal represents a collection of information, and systems are designed to process these input signals to produce meaningful output responses. Linear systems, based on linear operators, provide a simplified and effective way to model and analyze system behavior compared to nonlinear systems. They are widely applied in areas such as control engineering, signal processing, and telecommunications. Systems can be realized through physical components or implemented via algorithms in software. Signal magnitude is typically measured in terms of energy for finite signals, while power is used when energy is infinite. Continuous systems, such as those in analog electronics, work with continuous input and output signals.
This book offers a comprehensive exploration of signals and linear systems, covering both fundamental and advanced concepts. It includes key topics such as convolution, discrete-time and continuous-time systems, and Fourier analysis, along with the design of digital and analog filters, including phase-preserving filters. Written in a clear and accessible manner, the book simplifies complex concepts to enhance understanding and intuition. Serving as a valuable guide, it is ideal for students and professionals seeking a strong foundation and deeper insights into the field of signals and linear systems.