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| Introduction | |
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| Modeling | |
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| Continuous-Time Physical Systems | |
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| Samplers and Discrete-Time Physical Systems | |
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| MATLAB and SIMULINK | |
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| Signals and Systems References | |
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| Continuous-Time Signals and Systems | |
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| Transformations of Continuous-Time Signals | |
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| Signal Characteristics | |
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| Common Signals in Engineering | |
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| Singularity Functions | |
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| Mathematical Functions for Signals | |
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| Continuous-Time Systems | |
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| Properties of Continuous-Time Systems | |
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| Continuous-Time Linear Time-Invariant Systems | |
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| Impulse Representation of Continuous-Time Signals | |
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| Convolution for Continuous-Time LTI Systems | |
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| Properties of Convolution | |
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| Properties of Continuous-Time LTI Systems | |
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| Differential-Equation Models | |
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| Terms in the Natural Response | |
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| System Response for Complex-Exponential Inputs | |
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| Block Diagrams | |
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| Fourier Series | |
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| Approximating Periodic Functions | |
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| Fourier Series | |
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| Fourier Series and Frequency Spectra | |
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| Properties of Fourier Series | |
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| System Analysis | |
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| Fourier Series Transformations | |
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| The Fourier Transform | |
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| Definition of the Fourier Transform | |
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| Properties of the Fourier Transform | |
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| Fourier Transforms of Time Functions | |
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| Fourier Transforms of Sampled Signals | |
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| Application of the Fourier Transform | |
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| Energy and Power Density Spectra | |
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| Applications of the Fourier Transform | |
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| Ideal Filters | |
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| Real Filters | |
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| Bandwidth Relationships | |
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| Reconstruction of Signals from Sample Data | |
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| Sinusoidal Amplitude Modulation | |
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| Pulse-Amplitude Modulation | |
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| The Laplace Transform | |
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| Definitions of Laplace Transforms | |
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| Examples | |
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| Laplace Transforms of Functions | |
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| Laplace Transform Properties | |
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| Additional Properties | |
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| Response of LTI Systems | |
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| LTI Systems Characteristics | |
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| Bilateral Laplace Transform | |
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| Relationship of the Laplace Transform to the Fourier Transform | |
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| State Variables for Continuous-Time Systems | |
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| State-Variable Modeling | |
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| Simulation Diagrams | |
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| Solution of State Equations | |
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| Properties of the State Transition Matrix | |
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| Transfer Functions | |
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| Similarity Transformations | |
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| Discrete-Time Signals and Systems | |
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| Discrete-Time Signals and Systems | |
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| Transformations of Discrete-Time Signals | |
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| Characteristics of Discrete-Time Signals | |
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| Common Discrete-Time Signals | |
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| Discrete-Time Systems | |
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| Properties of Discrete-Time Systems | |
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| Discrete-Time Linear Time-Invariant Systems | |
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| Impulse Representation of Discrete-Time Signals | |
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| Convolution for Discrete-Time LTI Systems | |
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| Properties of Discrete-Time LTI Systems | |
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| Difference-Equation Models | |
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| Terms in the Natural Response | |
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| Block Diagrams | |
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| System Response for Complex-Exponential Inputs | |
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| The z-Transform | |
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| Definitions of z-Transforms | |
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| Examples | |
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| z-Transforms of Functions | |
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| z-Transform Properties | |
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| Additional Properties | |
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| LTI System Applications | |
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| Bilateral z-Transform | |
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| Fourier Transforms of Discrete-Time Signals | |
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| Discrete-Time Fourier Transform | |
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| Properties of the Discrete-Time Fourier Transform | |
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| Discrete-Time Fourier Transform | |
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| Discrete Fourier Transform | |
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| Fast Fourier Transform | |
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| Applications of the Discrete Fourier Transform | |
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| The Discrete Cosine Transform | |
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| State Variables for Discrete-Time Systems | |
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| State-Variable Modeling | |
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| Simulation Diagrams | |
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| Solution of State Equations | |
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| Properties of the State Transition Matrix | |
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| Transfer Functions | |
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| Simi | |
