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Introduction | |

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Basic Definitions | |

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Classification of Signals and Systems | |

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Frequency spectrum in Signal and System Analysis | |

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Scope of the Text Summary Further Reading Problems | |

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Mathematical Modeling and Properties of Basic Signals and Systems Introduction | |

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Mathematical Modeling of Systems and Signals | |

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Basic Signal Operations and Properties | |

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Basic CT Signals | |

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Basic DT Signals | |

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Basic System Properties | |

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Frequency Response and CT Filters | |

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Discretization of CT Signal and System Models | |

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Linearization of Nonlinear Systems Summary Key Equations Further Reading Problems | |

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Continuous-Time System Analysis in Time Domain Introduction | |

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Impulse-Response Characterization and the Convolution Integral for CT LTI Systems | |

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Step and Other Causal Signal Responses of CT LTI Systems | |

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Properties of Convolution | |

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LTI System Properties from Impulse Response | |

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Obtaining the Impulse Response of CT LTI Systems | |

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System Analysis from a Linear Differential-Equation Model | |

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CT System Response to Complex and Real Sinusoids and the system Function | |

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Block Diagram Representation for System Simulation Summary Key Equations Problems | |

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Discrete-Time System Analysis in the Time Domain - The Convolution Summation and Classical Analysis Introduction | |

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Impulse Response Characterization and the Convolution Summation | |

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Step and Other Causal Signal Response of DT LTI Systems | |

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Properties of the Convolution Summation | |

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Obtaining the Impulse Response of DT LTI Systems | |

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LTI System Properties from Impulse Response | |

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System Analysis from the Difference-Equation Model | |

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Forced Response to Complex and Real Sinusoids and the System Function | |

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Block Diagram Representation for System Simulation Summary Key Equations Further Reading Problems | |

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Frequency Domain Analysis of CT Signals and Systems - The Fourier Series and the Fourier Transform Analysis Introduction | |

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Representation of Signals using Basic Functions | |

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Representation of Periodic Functions - The Exponential Fourier Series | |

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Existence of Fourier Series | |

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Other Forms of Fourier Series | |

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Frequency Spectrum of Periodic Signals | |

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Fourier Series Properties | |

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Fourier Series Representation of an Ideal Impulse Train | |

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System Analysis for Nonsinusoidal Periodic Inputs | |

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Frequency Spectrum of Aperiodic Signals - The Fourier Transform | |

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Existence of Fourier Transform | |

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Fourier Transform of Basic Signals | |

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Fourier Transform Properties | |

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LTI System Analysis in the Frequency Domain | |

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Ideal and Practical Filters Summary Key Equations Further Reading Problems | |

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System Analysis Using the Laplace Transform Introduction | |

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The Bilateral and Unilateral Laplace Transforms | |

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Laplace Transforms of Basic Signals | |

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Laplace Transform Properties | |

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Relationship between Fourier and Laplace Transforms | |

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The Inverse Laplace Transform | |

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Applications of the Laplace Transform in Solving Differential Equations | |

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LTI System Transfer Functions | |

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System Response and Stability from Transfer Functions | |

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Step Response of Stable Systems | |

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Sinusoidal Response of Stable Systems and the Frequency Response | |

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Bode Plots | |

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System Simulation Summary Key Equations Further Reading Problems | |

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The z Transform and Discrete-Time System Analysis Introduction | |

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The z-Transform | |

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Convergence of the z-Transform | |

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Basic z-Transforms | |

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Properties of the z-Transform | |

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Right and Left Shifted Signals | |

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Multiplication by an Exponential Signal | |

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Differentiation in the z-Domain | |

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Accumulation | |

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Convolution of Signals | |

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Initial Value | |

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Time Reversal | |

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The Inverse z-Transform | |

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Pole-Zero Plots and Inverse of Rational Functions of z | |

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Inverse z-Transform from a Power Series Expansion | |

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Solving Difference Equations using z-Transforms | |

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DT LTI System Characterization | |

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DT LTI System Transfer Functions from Impulse-Response Characterization | |

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Transfer Functions from Difference-Equation Models | |

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System Properties and Modes from H(z) | |

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Frequency Response of DT Systems | |

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Representation of Discrete-Time Systems for Implementation | |

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The z-Transform of Sampled Signals - Relationship to the Laplace Transform Summary Key Equations Further Reading Problems | |

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Frequency Domain Analysis of DT Signals and Systems - The DTFT and DFT Analysis Introduction | |

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Spectrum of Sampled Signals and the Sampling Theorem | |

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Aliasing | |

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Signal Reconstruction | |

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The Discrete-Time Fourier Transform | |

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Properties of the Discrete-Time Fourier Transform | |

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Frequency Domain Analysis of DT Systems | |

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Discrete Fourier Transform and its Properties | |

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Applications of the DFT in Signal and System Analysis Summary Key Equations Further Reading Problems | |

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State Variable Analysis of Continuous and Discrete-Time Systems Introduction | |

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State Variable Representation of CT Systems | |

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Construction of State-Variable Models from System Configurations | |

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Conversion of Differential-Equation Models to State-Variable Models | |

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Obtaining State-Variable Models from Block Diagrams and Transfer Functions | |

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System Analysis in Time and s-Domains Using State-Variable Models | |

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MATLAB Applications | |

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State Variable Representation and Analysis of DT Systems | |

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Obtaining STate-Variable Models from Block Diagrams | |

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Conversion of Transfer-Function and Difference-Equation Models to State-Variable Models | |

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System Analysis in Time and z-Domains Using State Variable Models | |

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MATLAB Applications Summary Key Equations Further Reading Problems | |

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Appendix | |

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Complex Numbers | |

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Some Useful Mathematical Operations | |

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Basic Matrix Operations | |

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Mathematical Tables | |

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Index | |