Structure and Interpretation of Signals and Systems by Edward Ashford Lee and Pravin Varaiya - HTML preview

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Preface
Signals and Systems
- Signals
- Systems
- Summary
- Exercises
Defining Signals and Systems
- Defining functions
- Defining signals
- Defining systems
- Summary
- Exercises
State Machines
- Structure of state machines
- Finite state machines
- Nondeterministic state machines
- Simulation relations
- Summary
- Exercises
Composing State Machines
- Synchrony
- Side-by-side composition
- Cascade composition
- Product-form inputs and outputs
- General feedforward composition
- Hierarchical composition
- Feedback
- Summary
- Exercises
Linear Systems
- Operation of an infinite state machine
- Linear functions
- The [A,B,C,D] representation of a system
- Continuous-time state-space models
- Summary
- Exercises
Hybrid Systems
- Mixed models
- Modal models
- Timed automata
- More interesting dynamics
- Supervisory control
- Formal model
- Summary
- Exercises
Frequency Domain
- Frequency decomposition
- Phase
- Spatial frequency
- Periodic and finite signals
- Fourier series
- Discrete-time signals
- Summary
- Exercises
Frequency Response
- LTI systems
- Finding and using the frequency response
- Determining the Fourier series coefficients
- Frequency response and the Fourier series
- Frequency response of composite systems
- Summary
- Exercises
Filtering
- Convolution
- Frequency response and impulse response
- Causality
- Finite impulse response (FIR) filters
- Infinite impulse response (IIR) filters
- Implementation of filters
- Summary
- Exercises
The Four Fourier Transforms
- Notation
- The Fourier series (FS)
- The discrete Fourier transform (DFT)
- The discrete-Time Fourier transform (DTFT)
- The continuous-time Fourier transform
- Fourier transforms vs. Fourier series
- Properties of Fourier transforms
- Summary
- Exercises
Sampling and Reconstruction
- Sampling
- Reconstruction
- The Nyquist-Shannon sampling theorem
- Summary
- Exercises
Stability
- Boundedness and stability
- The Z transform
- The Laplace transform
- Summary
- Exercises
Laplace and Z Transforms
- Properties of the Z tranform
- Frequency response and pole-zero plots
- Properties of the Laplace transform
- Frequency response and pole-zero plots
- The inverse transforms
- Steady state response
- Linear difference and differential equations
- State-space models
- Summary
- Exercises
Composition and Feedback Control
- Cascade composition
- Parallel composition
- Feedback composition
- PID controllers
- Summary
- Exercises
Sets and Functions
- Sets
- Functions
- Summary
- Exercises
Complex Numbers
- Imaginary numbers
- Arithmetic of imaginary numbers
- Complex numbers
- Arithmetic of complex numbers
- Exponentials
- Polar coordinates
- Exercises
Bibliography
Notation Index
Index

Structure and Interpretation of Signals and Systems by Edward Ashford Lee and Pravin Varaiya - HTML preview

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Structure and Interpretation of Signals and Systems by Edward Ashford Lee and Pravin Varaiya - HTML preview

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