Contents

Classification of Signals 5

Signal Energy and Power 6

Signal Operations 12

Decibel 14

Vectors, Signals, Vector Approximation 15

Signal Approximation 16

Orthogonal Functions 18

Walsh Functions 24

Fourier Series 28

Parseval’s Theorem 42

Fourier Transform 44

Modulation Theorem 51

Fourier Series and Fourier Transform 55

Power Spectral Density (PSD) 57

Autocorrelation Functions 59

Energy Spectral Density 68

Power Transfer Function 70

Pulse Detection and Resolution 76

Demodulation of Sampled Signals 81

Dimensionality Theorem 83

Phase Amplitude Modulation 87

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Signal to Noise Ratio 95

PSD for Digital Signaling 102

Baseband Binary Data Transmission System 105

Rased Cosine Spectrum 107

Nyquist Pulse Shaping Criterion 107

Delta Modulation (DM) 110

Sigma Delta Modulator 115

Time Division Multiplexing (TDM) 120

Cross Talk 121

Bandpass Signals 126

Complex Envelope 127

Hilbert Transform 132

Bandpass Sampling Theorem 139

Amplitude Modulation 141

Diode Demodulator 146

Frequency Modulation (FM) 160

Matched Filters 179

Amplitude Shift Keying (ASK) 184

Frequency Shift Keying (FSK) 187

Quadrature Amplitude Modulation (QAM) 200

Shannon’s Channel Capacity 206

Pseudonoise Sequence, Linear Feedback Shift Register 214

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Global Positioning System (GPS) 218

Coding 230

This table of contents is not guaranteed to be exhaustive.

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