Contents of Oppenheim/Willsky, Signals and Systems

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