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| Introduction | |
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| Preview | |
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| Processing of Speech Signals | |
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| Processing of Seismic Signals | |
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| Radar Signal Processing | |
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| Image Processing | |
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| Kalman Filtering and Estimators | |
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| Review | |
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| References and Other Sources of Information | |
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| Signals and Systems | |
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| Preview | |
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| Types of Signals | |
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| Sequences Some Basic Sequences | |
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| Shifted and Special Sequences | |
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| Exponential and Sinusoidal Sequences | |
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| General Periodic Sequences | |
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| Sampling Continuous-Time Sinusoids and the Sampling Theorem | |
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| Systems and Their Properties | |
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| Linearity | |
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| Time-Invariance | |
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| Linear-Time Invariant (LTI) Systems | |
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| Stability | |
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| Causality | |
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| Approximation of Continuous-Time Processes by Discrete Models | |
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| Discrete Approximation of Integration | |
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| Discrete Approximation of Differentiation | |
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| Review | |
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| Vocabulary and Important Relations | |
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| Problems | |
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| References and Other Sources of Information | |
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| Linear Time-Invariant Systems | |
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| Preview | |
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| Linear Constant-Coefficient Difference Equations | |
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| The Geometric Series--An Important Relationship | |
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| Difference Equations for Nth-Order Systems | |
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| Computer Solution of Difference Equations | |
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| System Diagrams or Realizations | |
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| Unit Sample Response | |
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| Convolution | |
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| A General Way to Find System Response | |
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| Computer Evaluation of Convolution | |
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| Analytical Evaluation of Convolution | |
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| An Application: Stability and the Unit Sample Response | |
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| Interconnected Systems | |
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| Cascade Connection | |
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| Parallel Connection | |
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| Initial Condition Response and Stability of LTI Systems | |
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| Forced and Total Response of LTI Systems | |
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| Review | |
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| Vocabulary and Important Relations Problems | |
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| References and Other Sources of Information | |
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| Frequency Response and Filters | |
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| Preview | |
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| Sinusoidal Steady-State Response of LTI Systems | |
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| Frequency Response | |
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| Sinusoidal Steady--State Response--General Statement | |
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| The Nature of H(Ejq) | |
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| Computer Evaluation of Frequency Response | |
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| Frequency Response from the System Difference Equations | |
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| Filters | |
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| A Typical Filtering Problem | |
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| Comparison of Two Filters | |
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| Ideal Filters | |
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| Interconnected Systems | |
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| Review | |
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| Vocabulary and Important Relations Problems | |
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| References and Other Sources of Information | |
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| Frequency Response--A Graphical Method | |
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| Preview | |
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| Graphical Concepts | |
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| Geometric Algorithms for Sketching the Frequency Response | |
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| Graphical Design of Filters | |
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| Stability | |
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| Effects of Poles and Zeros on the Frequency Response | |
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| Correspondence Between Analog and Digital Frequencies | |
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| Some Design Problems | |
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| Review | |
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| Vocabulary and Important Relations Problems | |
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| References and Other Sources of Information | |
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| Z-Transforms | |
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| Preview | |
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| Definitions | |
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| Right-Sided Sequences--Some Transform Pairs | |
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| Sample (Impulse) Sequence | |
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| Step Sequence | |
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| Real Exponential Sequence | |
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| Complex Exponential Sequence | |
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| General Oscillatory Sequence | |
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| Cosine Sequence | |
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| Properties and Relations | |
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| Linearity | |
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| Shifting Property | |
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| Multiplication by n and Derivatives In z | |
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| Convolution | |
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| Transfer Functions | |
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| Stability | |
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| Frequency Response Revisited | |
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| The Evaluation of Inverse Transforms | |
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| Inverse Transforms from the Definition | |
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| Inverse Transforms from Long Division | |
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| Inverse Transforms from Partial Fraction Expansions and Table Look-Up | |
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| Partial Fraction Expansion--General Statement | |
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| Checking Partial Frac | |