Preface
1 FUNDAMENTAL CONCEPTS Â Â
1.1 Â Continuous-Time Signals
1.2 Â Discrete-Time Signals
1.3 Â Systems
1.4  Examples of Systems Â
1.5  Basic System Properties Â
  1.6 Chapter Summary
Problems Â
2 TIME-DOMAIN MODELS OF SYSTEMS Â
2.1 Â Input/Output Representation of Discrete-Time Systems
2.2 Â Convolution of Discrete-Time Signals
2.3 Â Difference Equation Models
2.4 Â Differential Equation Models
2.5 Â Solution of Differential Equations
2.6 Â Â Convolution Representation of Continuous-Time Systems
  2.7 Chapter Summary
  Problems
3 THE FOURIER SERIES AND FOURIER TRANSFORM Â Â
3.1  Representation of Signals in Terms of Frequency Components Â
3.2 Â Trigonometric Fourier Series
3.3 Â Complex Exponential Series
3.4 Fourier Transform
3.5 Spectral Content of Common Signals
3.6  Properties of the Fourier Transform Â
3.7  Generalized Fourier Transform Â
3.8 Application to Signal Modulation and Demodulation
   3.9    Chapter Summary
Problems Â
4 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS
4.1 Â Â Discrete-Time Fourier Transform
4.2 Â Â Discrete Fourier Transform
4.3 Â Â DFT of Truncated Signals
4.4 Â Â FFT Algorithm
4.5 Â Â Application to Data Analysis
   4.6  Chapter Summary
 Problems
5 FOURIER ANALYSIS OF SYSTEMS
5.1 Â Fourier Analysis of Continuous-Time Systems
5.2  Response to Periodic and Nonperiodic Inputs Â
5.3  Analysis of Ideal Filters Â
5.4  Sampling Â
5.5 Fourier Analysis of Discrete-Time Systems
5.6 Application to Lowpass Digital Filtering
   5.7    Chapter Summary
Problems Â
6 THE LAPLACE TRANSFORM AND THE TRANSFER FUNCTION REPRESENTATION Â Â
6.1  Laplace Transform of a Signal Â
6.2  Properties of the Laplace Transform Â
6.3  Computation of the Inverse Laplace Transform Â
6.4  Transform of the Input/Output Differential Equation Â
6.5 Â Transform of the Input/Output Convolution Integral
6.6 Â Direct Construction of the Transfer Function
  6.7 Chapter Summary
Problems Â
7 THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS
7.1 z-Transform of a Discrete-Time Signal Â
7.2 Properties of the z-Transform Â
7.3 Computation of the Inverse z-Transform Â
7.4 Transfer Function Representation Â
7.5 System Analysis Using the Transfer Function Representation
   7.6   Chapter Summary
Problems
8 ANALYSIS OF CONTINUOUS-TIME SYSTEMS USING THE TRANSFER FUNCTION REPRESENTATION Â
8.1  Stability and the Impulse Response Â
8.2  Routh—Hurwitz Stability Test Â
8.3  Analysis of the Step Response Â
8.4  Response to Sinusoids and Arbitrary Inputs Â
8.5  Frequency Response Function Â
8.6  Causal Filters Â
   8.7   Chapter Summary
Problems Â
9 APPLICATION TO CONTROL Â Â
9.1 Introduction to Control Â
9.2 Tracking Control Â
9.3 Root Locus&nb