Signals and Systems: Analysis Using Transform Methods & MATLAB
Signals and Systems: Analysis Using Transform Methods and MATLAB[registered] has been extensively updated, while retaining the emphasis on fundamental applications and theory. The text includes a wealth of exercises, including drill exercises, and more challenging conceptual problems. McGraw-Hill Education's Connect, is also available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty.
Why Read This Book
You will learn how transform methods (Fourier, Laplace, z-transform) give powerful, practical insight into signals and LTI systems while using MATLAB to test and visualize concepts. The book balances theory and application with abundant exercises and MATLAB examples so you can move quickly from mathematical analysis to simulation and design.
Who Will Benefit
Undergraduate or early-graduate engineers and practitioners who need a practical, transform-based foundation in signals and systems and want hands-on MATLAB practice for DSP, communications, and spectral analysis tasks.
Level: Intermediate — Prerequisites: Single-variable calculus, basic linear algebra, basic differential equations, and familiarity with programming fundamentals (some exposure to MATLAB is helpful but not mandatory).
Key Takeaways
- Apply Fourier, Laplace, and z-transform methods to analyze continuous- and discrete-time LTI systems
- Use MATLAB to simulate signals, compute FFTs, perform spectral analysis, and visualize time- and frequency-domain behavior
- Design and evaluate basic FIR and IIR digital filters and interpret frequency responses in practical DSP contexts
- Perform sampling and reconstruction analyses, and understand aliasing, anti-aliasing, and practical ADC considerations
- Analyze system stability, transient response, and poles/zeros using transform-domain and state-space techniques
- Interpret transform-based tools for communications and modulation problems and perform basic noise/signal spectral calculations
Topics Covered
- 1. Introduction to Signals and Systems; MATLAB Primer
- 2. Time-Domain Analysis and Convolution
- 3. Fourier Series and Periodic Signal Representation
- 4. Continuous-Time Fourier Transform and Properties
- 5. Discrete-Time Fourier Transform and Sampling Theorem
- 6. The Fast Fourier Transform and Practical Spectral Analysis
- 7. Laplace Transform Methods and Continuous-Time System Analysis
- 8. z-Transform and Discrete-Time System Analysis
- 9. Digital Filter Basics: FIR and IIR Design and Implementation
- 10. State-Space Methods, Stability, and Frequency Response
- 11. Modulation, Communications Concepts, and Noise Considerations
- 12. MATLAB Applications: Simulations, Examples, and Problem Sets
- Appendices: Transform Tables, MATLAB Functions, and Selected Solutions
Languages, Platforms & Tools
How It Compares
Covers much of the same practical ground as Oppenheim & Willsky's Signals and Systems but places more emphasis on MATLAB-driven examples and applied exercises; for heavier DSP algorithm detail, pair it with Proakis or Lyons.
