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1. Fundamentals of Wireless Networks

The OSI model, data link layer, network layer, transport layer

TCP: a congestion protocol, TCP/IP, Automatic Repeat Requests

Basic of wireless communications: modulation, the channel, link budget

Transmission effects, fading, shadowing, path loss, channel capacity

Medium access methods, CDMA, medium access control (MAC) layer

Random access, ALOHA, CSMA, CSMA/CD, Ethernet 802.3

Queuing theory, the M/M/1 queue, M/M/m and M/M/infty queues

M/G/1 queues and their analysis with random walk theory

Networks of queues, Burke's Theorem, Jackson's Theorem

Multipacket reception (MPR) and spread ALOHA, Kuser systems

MPR protocols with Poisson arrivals

Routing in networks, BellmanFord, AODV

Basics of network information theory, connectivity of networks

Network coding theory, BATS coding, delaytolerant networks (DPN)

Examples and applications
2. Probability and Random Processes

Axiomatic probability theory, basics, axioms and theorems

Distributions, binomial, Poisson, exponential, waiting times

Limit theorem, Gaussian distribution, weak & strong law of large numbers

Concepts of convergence, the MarchenkoPastur law

Transformations of random variables, convolution

Random processes, definition, statistical description

Stationarity, ergodicity, filtering of random processes,
example: fading channels

Estimation theory, classical estimation, MVE, CramerRao Lower Bound

Examples, radar system, timing synchronization

Bayesian estimation, maximum likelihood estimation, MMSE

Linear estimation, orthogonality principle, example: linear prediction

Wiener filtering, sequential linear minimum meansquare filtering

Kalman filtering, the extended Kalman filter, unscented Kalman filter

Neural networks and principles of deep learning, use in nonlinear filtering
3. Waveform Communications

Linear system and the convolution

The fourier series, fourier transform

Linear timeinvariant channels, equalization of LTI channels

Amplitude modulation and demodulation principles

Double sideband modulation and complex signal representation, SSB

The sampling theorem, signal reconstruction, aliasing, the link budget

Basics of information theory and digital representation, digital modulation

Bandwidth, matched filters, discrete channels and error probabilities

Nyquist criterion and ISIfree signaling, complex signal constellations

Bandwidth, duration, spectral efficiency and channel capacity

Frequencyshift keying (FSK) & orthogonal frequency division multiplexing

Modulation/demodulation of OFDM, the fast fourier transform (FFT)

Equalization of OFDM signals and timevarying channels

Error control coding in communications, methods and complexity

Key FEC methods: turbo coding, LDPC codes and iterative decoding

Other error control coding methods and their application

The 802.3an modem, a modern complex communications system