Signals and Systems: Continuous and Discrete
A market leader in previous editions, this book continues to offer a complete survey of continuous and discrete linear systems. It utilizes a systems approach to solving practical engineering problems, rather than using the framework of traditional circuit theory. Numerous examples from circuit theory appear throughout, however, to illustrate the various systems techniques introduced. The Fourth Edition has been thoroughly updated to effectively integrate the use of computers and to accurately reflect the latest theoretical advances.
Why Read This Book
You will get a unified, systems-oriented treatment of continuous and discrete signals that trains you to analyze real engineering problems using transforms, convolution, and state-space methods. The book emphasizes practical problem-solving and computer-based analysis, so you come away with both theoretical insight and hands-on techniques useful for DSP, communications, and radar work.
Who Will Benefit
Upper‑level undergraduates, graduate students, and practicing engineers who have calculus and basic linear systems background and want a rigorous, application-minded foundation in continuous and discrete signal processing.
Level: Intermediate — Prerequisites: Calculus (including differential equations), basic linear algebra, and introductory circuit or systems background (signals, basic transforms).
Key Takeaways
- Analyze continuous- and discrete-time linear time-invariant (LTI) systems using convolution, impulse response, and frequency-domain methods.
- Apply Laplace, Fourier, and Z-transforms to solve differential/difference equations and characterize system behavior.
- Use sampling theory to relate analog and digital representations and design anti-aliasing and reconstruction strategies.
- Perform spectral analysis and implement DFT/FFT-based techniques for frequency-domain processing.
- Model systems in state-space form and assess stability, controllability, and observability for design and analysis.
- Translate theoretical analysis into computational experiments (e.g., filter realization and simulation) to support DSP, communications, and radar applications.
Topics Covered
- 1. Signals, Systems, and Models
- 2. Time‑domain Analysis of Continuous‑Time LTI Systems
- 3. Fourier Series and Continuous‑Time Fourier Transform
- 4. Laplace Transform and System Analysis
- 5. Sampling and Reconstruction of Continuous Signals
- 6. Discrete‑Time Signals and Systems
- 7. Discrete‑Time Fourier Transform and the Z‑Transform
- 8. Frequency Domain Methods: DFT and FFT Algorithms
- 9. Filter Realizations and Digital Filter Design Basics
- 10. State‑Space Methods and Time‑Domain System Representation
- 11. Stability, Causality, and System Properties
- 12. Spectral Analysis and Applications to Communications and Radar
- 13. Computer Methods and Numerical Examples
Languages, Platforms & Tools
How It Compares
Covers much of the same foundational material as Oppenheim & Willsky's Signals and Systems but leans more toward a systems‑and‑applications perspective with extensive practical examples; compared to Proakis' DSP texts, Ziemer is broader in continuous/discrete systems foundations but less focused on advanced adaptive/filter‑design algorithms.
