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Preface | |
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Each chapter ends with Problems. | |
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Signals | |
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Introduction | |
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Continuous-Time (CT), Discrete-Time (DT), and Digital Signals | |
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Elementary CT Signals | |
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Manipulations of CT Signals | |
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Impulse | |
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Elementary DT Signals and Their Manipulations | |
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CT Sinusoidal Signals | |
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DT Sinusoidal Sequences and Nyquist Frequency Range | |
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Sampling and Frequency Aliasing | |
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Systems | |
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Introduction | |
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CT Systems with and without Memory | |
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The Concept of State-Set of Initial Conditions | |
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Linearity of Memory-less Systems | |
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Time Invariance and its Implication | |
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Implications of Linearity and Time Invariance-Zero-State Responses | |
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Modeling CT LTI Lumped Systems | |
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Ideal Operational Amplifiers | |
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Ideal Diodes and Rectifiers | |
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LTI Discrete-Time Systems | |
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Conclusion | |
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Convolutions, Difference and Differential Equations | |
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Introduction | |
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DT Impulse Responses | |
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DT LTI Systems: Discrete Convolutions | |
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DT LTIL Systems: Difference Equations | |
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General Form of Difference Equations | |
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CT LTI Systems: Integral Convolutions | |
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CT LTIL Systems: Differential equations | |
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Frequency Spectra of CT Signals | |
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Introduction | |
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Fourier Series of Periodic Signals: Frequency Components | |
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Fourier Transform: Frequency Spectra | |
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Properties of Frequency Spectra | |
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Frequency Spectra of CT Periodic Signals | |
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Effects of Truncation | |
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Time-Limited Bandlimited Theorem | |
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Sampling Theorem and FFT Spectral Computation | |
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Introduction | |
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Frequency Spectra of DT Signals | |
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Nyquist Sampling Theorem | |
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Computing frequency spectra of DT signals | |
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FFT Spectral Computation of DT Signals | |
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FFT Spectral Computation of CT Signals | |
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CT Transfer Functions: Laplace Transform | |
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Introduction | |
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Laplace Transform | |
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Transfer Functions | |
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Properties of Laplace Transform | |
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Inverse Laplace Transform | |
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Significance of Poles and Zeros | |
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Stability | |
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Frequency Responses | |
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From Laplace Transform to Fourier Transform | |
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Frequency Responses and Frequency Spectra | |
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Concluding Remarks | |
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Realization, Characterization, and Identification | |
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Introduction | |
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Realizations | |
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Basic Block Diagrams | |
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Computer Computation of State-Space Equations | |
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Developing State-Space Equations | |
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Complete Characterization by Transfer Functions | |
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Identification by Measuring Frequency Responses | |
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Model Reduction, Feedback, and Modulation | |
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Introduction | |
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Op-Amp Circuits Using Single-Pole Model | |
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Seismometers and Accelerometers | |
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Composite Systems | |
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Sinusoidal Generators | |
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Feedback Model of Op-Amp Circuits | |
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Modulation | |
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AM Modulation and Asynchronous Demodulation | |
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DT Transfer Functions: z-Transform | |
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Introduction | |
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z-transform | |
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DT Transfer Functions | |
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Properties of z-Transform | |
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Inverse z-Transform | |
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Significance of Poles and Zeros | |
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Stability | |
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Frequency Responses | |
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Frequency Responses and Frequency Spectra | |
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Digital Processing of CT Signals | |
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DT State-Space Equations and Realizations | |
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Introduction | |
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From Difference Equations to Basic Block Diagrams | |
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Realizations | |
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MatlabRG Computation | |
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Complete Characterization by Transfer Functions | |
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References | |
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Answers to Selected Problems | |
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Index | |