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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 | |