Signals, Systems & Transforms 5th Edition By Charles Phillips, John Parr, Eve Riskin
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- Education
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About this ebook
Signals, Systems, and Transforms (5th Edition) by Charles Phillips, John Parr, and Eve Riskin provides a comprehensive roadmap of mathematical tools for electrical and computer engineering students. The book is structurally divided into two major sections: Continuous-Time Signals and Systems (Chapters 2–8) and Discrete-Time Signals and Systems (Chapters 9–13). [1, 2, 3, 4]
The primary topics covered across the chapters of the 5th edition include: [1]
1. Foundations of Signals & Systems
- Introduction & Modeling: Distinctions between physical systems and mathematical models.
- Continuous-Time Signals & Systems: Basic operations (time scaling, shifting), classifications, and mathematical descriptions of physical systems.
- Continuous-Time Linear Time-Invariant (LTI) Systems: System properties, impulse response, and convolution integrals. [1, 2, 3, 4]
2. Continuous-Time Transform Analysis
- Fourier Series: Exponential and trigonometric expansions of continuous-time periodic signals.
- The Fourier Transform: Spectral representations, properties, and applications to linear systems and frequency responses.
- Applications of the Fourier Transform: Energy/power density spectra and ideal sampling theorems.
- The Laplace Transform: Transfer functions, poles and zeros, system stability, region of convergence (ROC), and calculation of system step-response.
- State Variables for Continuous-Time Systems: Mathematical state-space matrix representations of dynamic systems. [1, 2, 3, 4, 5]
3. Discrete-Time Signals & Systems
- Discrete-Time Signals & Systems: Sampling continuous signals, quantization errors, discrete operations, and difference equations.
- Discrete-Time LTI Systems: Convolution sum, impulse response, and difference equation analysis.
- The z-Transform: Causal system analysis, tracking regions of convergence (ROC) in the z-plane, inverse z-transforms, and calculation of system frequency responses.
- Discrete Fourier Transforms (DFT): Frequency transforms of discrete sequences, including the Fast Fourier Transform (FFT).
- State Variables for Discrete-Time Systems: State-space equations for discrete systems. [1, 2, 3, 4]
4. Software Integration
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