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Preface | |
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Fundamental Concepts | |
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Continuous-Time Signals | |
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Discrete-Time Signals | |
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Systems | |
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Examples of Systems | |
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Basic System Properties | |
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Chapter Summary | |
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Problems | |
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Time-Domain Models of Systems | |
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Input/Output Representation of Discrete-Time Systems | |
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Convolution of Discrete-Time Signals | |
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Difference Equation Models | |
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Differential Equation Models | |
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Solution of Differential Equations | |
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Convolution Representation of Continuous-Time Systems | |
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Chapter Summary | |
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Problems | |
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The Fourier Series and Fourier Transform | |
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Representation of Signals in Terms of Frequency Components | |
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Trigonometric Fourier Series | |
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Complex Exponential Series | |
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Fourier Transform | |
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Spectral Content of Common Signals | |
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Properties of the Fourier Transform | |
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Generalized Fourier Transform | |
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Application to Signal Modulation and Demodulation | |
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Chapter Summary | |
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Problems | |
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Fourier Analysis of Discrete-Time Signals | |
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Discrete-Time Fourier Transform | |
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Discrete Fourier Transform | |
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DFT of Truncated Signals | |
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FFT Algorithm | |
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Application to Data Analysis | |
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Chapter Summary | |
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Problems | |
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Fourier Analysis of Systems | |
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Fourier Analysis of Continuous-Time Systems | |
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Response to Periodic and Nonperiodic Inputs | |
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Analysis of Ideal Filters | |
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Sampling | |
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Fourier Analysis of Discrete-Time Systems | |
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Application to Lowpass Digital Filtering | |
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Chapter Summary | |
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Problems | |
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The Laplace Transform and the Transfer Function Representation | |
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Laplace Transform of a Signal | |
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Properties of the Laplace Transform | |
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Computation of the Inverse Laplace Transform | |
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Transform of the Input/Output Differential Equation | |
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Transform of the Input/Output Convolution Integral | |
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Direct Construction of the Transfer Function | |
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Chapter Summary | |
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Problems | |
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The z-Transform and Discrete-Time Systems | |
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z-Transform of a Discrete-Time Signal | |
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Properties of the z-Transform | |
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Computation of the Inverse z-Transform | |
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Transfer Function Representation | |
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System Analysis Using the Transfer Function Representation | |
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Chapter Summary | |
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Problems | |
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Analysis of Continuous-Time Systems by Use of the Transfer Function Representation | |
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Stability and the Impulse Response | |
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Routh-Hurwitz Stability Test | |
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Analysis of the Step Response | |
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Response to Sinusoids and Arbitrary Inputs | |
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Frequency Response Function | |
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Causal Filters | |
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Chapter Summary | |
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Problems | |
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Application to Control | |
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Introduction to Control | |
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Tracking Control | |
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Root Locus | |
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Application to Control System Design | |
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Chapter Summary | |
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Problems | |
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Design of Digital Filters and Controllers | |
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Discretization | |
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Design of IIR Filters | |
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Design of IIR Filters Using MATLAB | |
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Design of FIR Filters | |
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Design of Digital Controllers | |
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Chapter Summary | |
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Problems | |
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State Representation | |
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State Model | |
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Construction of State Models | |
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Solution of State Equations | |
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Discrete-Time Systems | |
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Equivalent State Representations | |
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Discretization of State Model | |
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Chapter Summary | |
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Problems | |
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Brief Review of Complex Variables | |
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Brief Review of Matrices | |
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Bibliography | |
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Index | |