Fourier Transforms, Filtering, Probability and Random Processes. Introduction to Communication Systems

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Binder1
	1
		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