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| Representing Signals | |
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| Continuous-Time vs. Discrete-Time Signals | |
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| Periodic vs. Aperiodic Signals | |
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| Energy and Power Signals | |
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| Transformations of the Independent Variable | |
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| Elementary Signals | |
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| Other Types of Signals | |
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| Continuous - Time Systems | |
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| Classification of Continuous-Time Systems | |
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| Linear Time- Invariant Systems | |
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| Properties of Linear Time-Invariant Systems | |
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| Systems Described by Differential Equations | |
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| State Variable Representations | |
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| Fourier Series | |
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| Orthogonal Representations of Signals | |
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| The Exponential Fourier Series | |
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| Dirichlet conditions | |
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| Properties of the Fourier Series | |
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| Systems with Periodic Inputs | |
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| The Gibbs Phenomenon | |
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| The Fourier Transform | |
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| The Continuous-Time Fourier Transform | |
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| Properties of the Fourier Transform | |
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| Applications of the Fourier Transform | |
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| Duration-Bandwidth Relationships | |
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| The Laplace Transform | |
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| The Bilateral Laplace Transform | |
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| The Unilateral Laplace Transform | |
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| Bilateral Transforms Using Unilateral Transforms | |
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| Properties of the Unilateral Laplace Transform | |
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| The Inverse Laplace Transform | |
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| Simulation Diagrams for Continuous-Time Systems | |
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| Applications of the Laplace Transform | |
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| State Equations and the Laplace Transform | |
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| Stability in the s Domain | |
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| Discrete-Time Systems | |
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| Elementary Discrete-Time Signals | |
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| Discrete-Time Systems | |
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| Periodic Convolution | |
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| Difference-Equation Representation of Discrete-Time Systems | |
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| Stability of Discrete Time Systems | |
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| Fourier Analysis of Discrete-Time Systems | |
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| Fourier-Series Representation of Discrete-Time Periodic Signals | |
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| The Discrete-Time Fourier Transform | |
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| Properties of the Discrete-Time Fourier Transform | |
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| Fourier Transform of Sampled Continuous-Time Signals | |
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| The Z-Transform | |
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| The Z-Transform | |
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| Convergence of the Z-Transform | |
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| Properties of the Z-Transform | |
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| The Inverse Z-Transform | |
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| Z-Transfer Functions of Casual Discrete-Time Systems | |
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| Z-Transform Analysis of State-Variable Systems | |
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| Relation Between the Z-Transform and the Laplace Transform | |
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| The Discrete Fourier Transform | |
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| The Discrete Fourier Transform and Its Inverse | |
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| Properties of the DFT | |
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| Linear Convolution Using the DFT | |
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| Fast Fourier Transforms | |
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| Spectral Estimation of Analog Signals Using the DFT | |
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| Design of Analog and Digital Filters | |
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| Frequency Transformations | |
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| Design of Analog Filters | |
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| Digital Filters | |
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| Appendices | |