# Gaussian Random Vectors White Gaussian Noise (WGN)

Jointly Gaussian random vectors and processes and white Gaussian noise (WGN)

• ##### Introduction to Digital Communication
Robert Gallager

Introduction: A layered view of digital communication

• ##### Discrete Source Encoding
Robert Gallager

Discrete source encoding

• ##### Memory-Less Sources
Robert Gallager

Memory-less sources, prefix free codes, and entropy

• ##### Entropy and Asymptotic Equipartition Property
Robert Gallager

Entropy and asymptotic equipartition property

• ##### Markov Sources and Lempel-Ziv Universal Codes
Robert Gallager

Markov sources and Lempel-Ziv universal codes

• ##### Quantization
Robert Gallager

Quantization

• ##### High Rate Quantizers and Waveform Encoding
Robert Gallager

High rate quantizers and waveform encoding

• ##### Fourier Series
Robert Gallager

Measure, fourier series, and fourier transforms

• ##### Discrete-Time Fourier Transforms
Robert Gallager

Discrete-time fourier transforms and sampling theorem

• ##### Degrees of Freedom
Robert Gallager

Degrees of freedom, orthonormal expansions, and aliasing

• ##### Signal Space
Robert Gallager

Signal space, projection theorem, and modulation

• ##### Nyquist Theory
Robert Gallager

Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation

• ##### Random Processes
Robert Gallager

Random processes

• ##### Gaussian Random Vectors White Gaussian Noise (WGN)
Robert Gallager

Jointly Gaussian random vectors and processes and white Gaussian noise (WGN)

• ##### Linear Functionals and Filtering of Random Processes
Robert Gallager

Linear functionals and filtering of random processes

• ##### Introduction to Detection
Robert Gallager

Review; introduction to detection

• ##### Detection for Random Vectors and Processes
Robert Gallager

Detection for random vectors and processes

• ##### Theorem of Irrelevance
Robert Gallager

Theorem of irrelevance, M-ary detection, and coding

• ##### Baseband Detection and Complex Gaussian Processes
Robert Gallager

Baseband detection and complex Gaussian processes

• ##### Introduction of Wireless Communication
Robert Gallager

Introduction of wireless communication

• ##### Doppler Spread
Robert Gallager

Doppler spread, time spread, coherence time, and coherence frequency

• ##### Discrete-Time Baseband Models for Wireless Channels
Robert Gallager

Discrete-time baseband models for wireless channels

• ##### Rrayleigh Fading and Incoherent Channels
Robert Gallager

Detection for flat rayleigh fading and incoherent channels, and rake receivers

• ##### Code Division Multiple Access (CDMA)
Robert Gallager

Case study — code division multiple access (CDMA)