## Contents of Oppenheim/Willsky, Signals and SystemsAlan V. Oppenheim, Alan S. Willsky:Signals and Systems Prentice-Hall, 1997 (2nd edition) 1 Signals and Systems 1 1.1 Continuous-Time and Discrete-Time Signals 1.2 Transformations of the Independent Variable 1.3 Exponential and Sinusoidal Signals 1.4 The Unit Impulse and Unit Step Functions 1.5 Continuous-Time and Discrete-Time Systems 1.6 Basic System Properties 1.7 Summary. Problems. 2 Linear Time-Invariant Systems 74 2.1 Discrete-Time LTI Systems: The Convolution Sum 2.2 Continuous-Time LTI Systems: The Convolution Integral 2.3 Properties of Linear Time-Invariant Systems 2.4 Causal LTI Systems Described by Differential and Difference Equations 2.5 Singularity Functions 2.6 Summary. Problems. 3 Fourier Series Representation of Periodic Signals 177 3.1 A Historical Perspective 3.2 The Response of LTI Systems to Complex Exponentials 3.3 Fourier Series Representation of Continuos-Time Periodic Signals 3.4 Convergence of the Fourier Series 3.5 Properties of Continuous-Time Fourier Series 3.6 Fourier Series Representation of Discrete-Time Periodic Signals 3.7 Properties of Discrete-Time Fourier Series 3.8 Fourier Series and LTI Systems 3.9 Filtering 3.10 Examples of Continous-Time Filters Described by Differential Equations 3.11 Examples of Discrete-Time Filters Described by Difference Equations 3.12 Summary. Problems. 4 The Continuous-Time Fourier Transform 284 4.1 Representation of Aperiodic Signals: The Continuous-Time Fourier Transform 4.2 The Fourier Transform for Periodic Signals 4.3 Properties of the Continuous-Time Fourier Transform 4.4 The Convolution Property 4.5 The Multiplication Property 4.6 Tables of Fourier Properties and of Basic Fourier Transform Paris 4.7 Systems Characterized by Linear Constant-Coefficient Differential Equations 4.8 Summary. Problems. 5 The Discrete-Time Fourier Transform 358 5.1 Representation of Aperiodic Signals: The Discrete-Time Fourier Transform 5.2 The Fourier Transform for Periodic Signals 5.3 Properties of the Discrete-Time Fourier Transform 5.4 The Convolution Property 5.5 The Multiplication Property 5.6 Tables of Fourier Transform Properties and of Basic Fourier Transform Paris 5.7 Duality 5.8 Systems Characterized by Linear Constant-Coefficient Difference Equations 5.9 Summary. Problems. 6 Time and Frequency Characterization of Signals and Systems 423 6.1 The Magnitude-Phase Representation of the Fourier Transform 6.2 The Magnitude-Phase Representation of the Frequency Response of LTI Systems 6.3 Time-Domain Properties of Ideal Frequency-Selectivee Filters 6.4 Time-Domain and Frequency-Domain Aspects of Nonideal Filters 6.5 First-Order and Second-Order Continuous-Time Systems 6.6 First-Order and Second-Order Discrete-Time Systems 6.7 Examples of Time- and Frequency-Domain Analysis of Systems 6.8 Summary. Problems. 7 Sampling 514 7.1 Representation of Continuous-Time Signal by Its Samples: The Sampling Theorem 7.2 Reconstruction of a Signal from Its Samples Using Interpolation 7.3 The Effect of Undersampling: Aliasing 7.4 Discrete-Time Processing of Continuous-Time Signals 7.5 Sampling of Discrete-Time Signals 7.6 Summary. Problems. 8 Communication Systems 582 8.1 Complex Exponential and Sinusoidal Amplitude Modulation 8.2 Demodulation for Sinusoidal AM 8.3 Frequency-Division Multiplexing 8.4 Single-Sideband Sinusoidal Amplitude Modulation 8.5 Amplitude Modulation with a Pulse-Train Carrier 8.6 Pulse-Amplitude Modulation 8.7 Sinusoidal Frequency Modulation 8.8 Discrete-Time Modulation 8.9 Summary. Problems. 9 The Laplace Transform 654 9.1 The Laplace Transform 9.2 The Region of Convergence for Laplace Transforms 9.3 The Inverse Laplace Transform 9.4 Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot 9.5 Properties of the Laplace Transform 9.6 Some Laplace Transform Pairs 9.7 Analysis and Characterization of LTI Systems Using the Laplace Transform 9.8 System Function Algebra and Block Diagram Representations 9.9 The Unilateral Laplace Transform 9.10 Summary. Problems. 10 The Z-Transform 741 10.1 The Z-Transform 10.2 The Region of Convergence for the Z-Transform 10.3 The Inverse Z-Transform 10.4 Geometric Evaluation of the Fourier Transform from the Pole-Zero Plot 10.5 Properties of the Z-Transform 10.6 Some Common Z-Transform Pairs 10.7 Analysis and Characterization of LTI Systems Using the Z-Transform 10.8 System Function Algebra and Block Diagram Representations 10.9 The Unilateral Z-Transform 10.10 Summary. Problems. 11 Linear Feedback Systems 816 11.1 Linear Feedback Systems 11.2 Some Applications and Consequences of Feeback 11.3 Root-Locus Analysis of Linear Feedback Systems 11.4 The Nyquist Stability Criterion 11.5 Gain and Phase Margins 11.6 Summary. Problems. Appendix. Partial-Fraction Expansion. 909 http://www.cis.hut.fi/teaching/T-61.140/oppenheimcontents.shtml tik61140@cis.hut.fi Tuesday, 16-Jan-2001 18:56:30 EET |