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| List of figures | |
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| List of tables | |
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| Preface | |
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| Acknowledgments | |
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| Introduction to signals and systems | |
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| Signals and systems | |
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| Examples of signals | |
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| Mathematical foundations | |
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| Phasors | |
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| Time-varying frequency and instantaneous frequency | |
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| Transformations | |
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| Discrete-time signals | |
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| Sampling | |
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| Downsampling and upsampling | |
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| Problems | |
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| Constructing signals from building blocks | |
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| Basic building blocks | |
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| The orthogonality principle | |
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| Orthogonal basis functions | |
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| Fourier series | |
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| Alternative forms of the Fourier series | |
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| Approximating signals numerically | |
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| The spectrum of a signal | |
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| The discrete Fourier transform | |
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| Variations on the DFT and IDFT | |
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| Relationship between X[k] and C[subscript k] | |
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| Examples | |
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| Proof of the continuous-time orthogonality principle | |
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| A note on vector spaces | |
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| Problems | |
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| Sampling and data acquisition | |
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| Sampling theorem | |
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| Discrete-time spectra | |
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| Aliasing, folding and reconstruction | |
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| Continuous- and discrete-time spectra | |
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| Aliasing and folding (time domain perspective) | |
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| Windowing | |
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| Aliasing and folding (frequency domain perspective) | |
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| Handling data with the FFT | |
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| Problems | |
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| Lumped element modeling of mechanical systems | |
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| Introduction | |
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| Building blocks for lumped mechanical systems | |
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| Inputs to mechanical systems | |
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| Governing equations | |
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| Parallel combination | |
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| Series combination | |
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| Combination of masses | |
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| Examples of parallel and series combinations | |
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| Division of force in parallel combination | |
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| Division of displacement in series combination | |
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| Problems | |
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| Lumped element modeling of electrical systems | |
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| Building blocks for lumped electrical systems | |
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| Summary | |
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| Inputs to electrical systems | |
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| Governing equations | |
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| Parallel combination | |
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| Series combination | |
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| Division of current in parallel combination | |
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| Division of voltage in series combination | |
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| Problems | |
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| Solution to differential equations | |
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| First-order ordinary differential equations | |
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| Second-order ordinary differential equations | |
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| Transient response | |
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| Transient specifications | |
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| State space formulation | |
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| Problems | |
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| Input-output relationship using frequency response | |
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| Frequency response of linear, time-invariant systems | |
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| Frequency response to a periodic input and any arbitrary input | |
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| Bode plots | |
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| Impedance | |
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| Combination and division rules using impedance | |
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| Problems | |
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| Digital signal processing | |
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| More frequency response | |
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| Notation clarification | |
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| Utilities | |
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| DSP example and discrete-time FRF | |
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| Frequency response of discrete-time systems | |
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| Relating continuous-time and discrete-time frequency response | |
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| Finite impulse response filters | |
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| The mixer | |
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| Problems | |
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| Applications | |
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| Communication systems | |
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| Modulation | |
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| AM radio | |
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| Vibration measuring instruments | |
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| Undamped vibration absorbers | |
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| JPEG compression | |
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| Problems | |
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| Summary | |
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| Continuous-time signals | |
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| Discrete-time signals | |
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| Lumped element modeling of mechanical and electrical systems | |
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| Transient response | |
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| Frequency response | |
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| Impedance | |
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| Digital signal processing | |
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| Transition to more advanced texts (or, what's next?) | |
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| Laboratory exercises | |
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| Introduction to MATLAB | |
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| Objective | |
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| Guided introduction to MATLAB | |
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| Vector and matrix manipulation | |
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| Variables | |
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| Plotting | |
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| M-files | |
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| Housekeeping | |
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| Summary of MATLAB commands | |
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| Exercises | |
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| Synthesize music | |
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| Objective | |
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| Playing sinusoids | |
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| Generating musical notes | |
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| Fur Elise project | |
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| Extra credit | |
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| Exercises | |
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| DFT and IDFT | |
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| Objective | |
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| The discrete Fourier transform | |
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| The inverse discrete Fourier transform | |
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| The fast Fourier transform | |
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| Exercises | |
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| FFT and IFFT | |
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| Objective | |
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| Frequency response of a parallel RLC circuit | |
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| Time response of a parallel RLC circuit to a sweep input | |
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| Exercises | |
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| Frequency response | |
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| Objective | |
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| Automobile suspension | |
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| Frequency response | |
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| Time response to sinusoidal input | |
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| Numerical solution with the Fourier transform | |
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| Time response to step input | |
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| Optimizing the suspension | |
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| Exercises | |
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| DTMF | |
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| Objective | |
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| DTMF dialing | |
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| fdomain and tdomain | |
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| Band-pass filters | |
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| DTMF decoding | |
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| Forensic engineering | |
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| Exercises | |
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| AM radio | |
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| Objective | |
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| Amplitude modulation | |
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| Demodulation | |
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| Pirate radio | |
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| Complex arithmetic | |
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| Constructing discrete-time signals from building blocks - least squares | |
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| Discrete-time upsampling, sampling and downsampling | |
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| Index | |