41f4Grq8aRL
Binder1
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Contents
About the Author
978-3-031-19580-8_1
1 Orthogonal Functions and Fourier Series
1.1 Introduction
1.2 Signal Representation and Orthogonal Functions
1.3 Trigonometric Fourier Series
1.4 Exponential (Complex) Fourier Series
1.5 Fourier Coefficient Evaluation Using Special Properties
1.6 Least Squares Approximations and Generalized Fourier Series
1.7 Spectral Content of Periodic Signals
Summary
Problems
References
978-3-031-19580-8_2
2 Fourier Transforms
2.1 Introduction
2.2 Fourier Transform Pair
2.3 Existence of the Fourier Transform
2.4 Generalized Functions
2.5 Fourier Transforms and Impulse Functions
2.6 Fourier Transform Properties
2.7 Graphical Presentation of Fourier Transforms
Summary
Problems
References
978-3-031-19580-8_3
3 Linear Systems, Convolution, and Filtering
3.1 Introduction
3.2 Linear Systems
3.3 Linear Systems Response: Convolution
3.4 Graphical Convolution
3.5 Ideal Filters
3.6 Physically Realizable Filters
3.7 Time-Domain Response and System Bandwidth
3.8 The Sampling Theorem
3.9 Power and Energy
Summary
Problems
References
978-3-031-19580-8_4
4 Random Variables and Stochastic Processes
4.1 Introduction
4.2 Probability
4.3 Probability Density and Distribution Functions
4.4 Mean, Variance, and Correlation
4.5 Transformations of Random Variables
4.6 Special Distributions
4.7 Stochastic Processes and Correlation
4.8 Ergodicity
4.9 Spectral Densities
4.10 Cyclostationary Processes
Summary
Problems
References