Modulation theory / Marcelo Sampaio de Alencar.

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Online resource; title from PDF title page (EBSCO, viewed January 22, 2019)

Front Cover; Half Title Page; RIVER PUBLISHERS SERIES IN COMMUNICATIONS; Title Page -- Modulation Theory; Copyright Page; Contents; Preface; List of Figures; Chapter 1 -- Theory of Signals and Linear Systems; 1.1 Introduction; 1.2 Signal Analysis; 1.2.1 Linearity; 1.2.2 The Convolution Theorem; 1.3 Some Important Functions; 1.3.1 The Constant Function; 1.3.2 The Sine and the Cosine Functions; 1.3.3 The Heaviside Step Function; 1.3.4 The Ramp Function; 1.3.5 The Gate Function; 1.3.6 Impulse Function or Dirac's Delta Function; 1.3.7 The Sampling Function; 1.3.8 Even and Odd Functions

1.3.9 Some Elementary Properties of Functions1.4 Basic Fourier Analysis; 1.4.1 The Trigonometric Fourier Series; 1.4.2 The Compact Fourier Series; 1.4.3 The Exponential Fourier Series; 1.5 Fourier Transform; 1.5.1 Bilateral Exponential Signal; 1.5.2 Transform of the Gate Function; 1.5.3 Fourier Transform of the Impulse Function; 1.5.4 Transform of the Constant Function; 1.5.5 Fourier Transform of the Sine and Cosine Functions; 1.5.6 Fourier Transform of the Complex Exponential; 1.5.7 Fourier Transform of a Periodic Function; 1.6 Some Properties of the Fourier Transform

1.6.1 Linearity of the Fourier Transform1.6.2 Scaling Property; 1.6.3 Symmetry of the Fourier Transform; 1.6.4 Time Domain Shift; 1.6.5 Frequency Domain Shift; 1.6.6 Differentiation in the Time Domain; 1.6.7 Integration in the Time Domain; 1.6.8 The Convolution Theorem in the Time Domain; 1.6.9 The Convolution Theorem in the Frequency Domain; 1.7 The Sampling Theorem; 1.8 Parseval's Theorem; 1.9 Average, Power, and Autocorrelation; 1.9.1 Time Autocorrelation of Signals; Chapter 2 -- Random Signals and Noise; 2.1 The Theory of Sets, Functions, and Measure; 2.1.1 Set Theory

2.1.2 Operations on Sets2.1.3 Families of Sets; 2.1.4 Indexing Sets; 2.1.5 Algebra of Sets; 2.1.6 Borel Algebra; 2.2 Probability Theory; 2.2.1 Axiomatic Approach to Probability; 2.2.2 Bayes' Rule; 2.3 Random Variables; 2.3.1 Mean Value of a Random Variable; 2.3.2 Moments of a Random Variable; 2.3.3 The Variance of a Random Variable; 2.3.4 The Characteristic Function of a Random Variable; 2.3.5 Some Important Random Variables; 2.3.6 Joint Random Variables; 2.4 Stochastic Processes; 2.4.1 The Autocorrelation Function; 2.4.2 Stationarity; 2.4.3 Wide Sense Stationarity; 2.4.4 Ergodic Signals

2.4.5 Properties of the Autocorrelation2.4.6 The Power Spectral Density; 2.4.7 Properties of the Power Spectral Density; 2.5 Linear Systems; 2.5.1 Expected Value of the Output Signal; 2.5.2 The Response of Linear Systems to Random Signals; 2.5.3 Phase Information; 2.6 Analysis of a Digital Signal; 2.6.1 Autocorrelation of a Digital Signal; 2.6.2 Power Spectral Density for the Digital Signal; 2.6.3 The Digital Signal Bandwidth; 2.7 Non-Linear Systems; 2.7.1 The Two-Level Quantizer; 2.7.2 Quantization Noise Spectrum for a Two-level Quantizer; 2.7.3 Response of a Squarer Circuit

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