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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 | |