Signals, Systems, & Transforms
For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments. This book is also suitable for electrical and computer engineers.
Signals, Systems, and Transforms, Fifth Edition is ideal for electrical and computer engineers. The text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The text integrates MATLAB examples into the presentation of signal and system theory and applications.
Why Read This Book
You will get a clear, application-oriented introduction to continuous and discrete signals, linear systems, and the core transforms (Fourier, Laplace, z, DFT/FFT) with abundant MATLAB examples so you can immediately explore concepts numerically. The presentation balances intuition and mathematics, making it easy to move from classroom theory to practical analysis of filters, spectral methods, and sampled-data systems.
Who Will Benefit
Sophomore or junior electrical/computer engineering students and practicing engineers who need a solid, MATLAB-integrated foundation in signals and systems for DSP, communications, or controls work.
Level: Intermediate — Prerequisites: Single-variable calculus (including integrals and derivatives), basic differential equations, and introductory linear algebra; familiarity with basic circuit or systems concepts is helpful.
Key Takeaways
- Analyze continuous- and discrete-time linear time-invariant (LTI) systems using convolution, impulse/step responses, and frequency-domain methods
- Apply Fourier series, Fourier transforms, Laplace transforms, and z-transforms to solve signal and system problems
- Implement and interpret the discrete Fourier transform (DFT) and fast Fourier transform (FFT) for spectral analysis
- Design and evaluate basic digital filters and understand sampling, aliasing, and reconstruction in sampled-data systems
- Use MATLAB to simulate signals, compute transforms, visualize spectra, and test signal-processing algorithms
Topics Covered
- Introduction to Signals and Systems
- Time-Domain Analysis of Continuous-Time LTI Systems
- Fourier Series and Periodic Signal Representation
- Fourier Transform and Frequency-Domain Analysis
- The Laplace Transform and System Transients
- Sampling Theorem and Reconstruction of Continuous Signals
- Discrete-Time Signals and Systems
- The z-Transform and Discrete-Time System Analysis
- Discrete-Time Fourier Transform (DTFT) and Frequency Response
- DFT, FFT Algorithms, and Practical Spectral Analysis
- Digital Filter Basics and Design Considerations
- State-Space Methods and System Representations
- Applications and MATLAB Examples in Signal Analysis
Languages, Platforms & Tools
How It Compares
More accessible and MATLAB-focused than Oppenheim & Willsky's Signals and Systems, and less DSP-algorithms-deep than Proakis & Manolakis' Digital Signal Processing; Phillips emphasizes applied understanding and numerical exploration.
