Graduate School and Research Center In communication systems

Digital communications

[DigiCom]
T Technical Teaching


Abstract

  • This course covers the fundamentals for the analysis and design of physical layer digital communication systems.
  • It serves as the basic building block for understanding modern mathematical procedures that enable communication via different physical media (e.g. radio, twisted-pair wireline, coaxial cable, fiber-optical).
  • Both the deterministic and random characterizations of common transmit signal and noise processes are covered as well as optimal receivers and their performance using different digital signalling methods.

Requirements

Stochastic

Description

  •  Deterministic Signals : Continuous and discrete-time signals, signal spaces, orthonormal expansions, non-linear characterizations, bandpass and complex baseband equivalent signals, sampling and reconstruction, Nyquist's criterion for zero intersymbol-interference.
  • Digital Modulation : Linear modulation, finite-state machines and trellis representations, constellations, OFDM, spread-spectrum, constant-envelope modulation.
  • Probability and Random Processes : Review of basic probability and random variables, complex random variables and circular symmetry, Gaussian random variables and the Qfunction, moment generating functions, quadratic forms and the Karhunen- Loève expansion, random processes, ergodicity, power-spectral density, linear transformation of random processes, KL-expansion of random processes, system aspects of noise processes, statistical characterization of digitally-modulated signals.
  • Detection theory and Receiver Design : Bayesian detection theory, detection of known signals in Gaussian noise, matched filters, error probabilities, non-coherent detection.
  • Sequence Detection and Equalization Maximum-likelihood detection of linear modulation over channels with finite-length impulse response, the Viterbi algorithm, linear equalizers, decision-feedback equalizers.
  • Selected topics : Modern digital receiver design, carrier, phase and timing synchronization, channel estimation.
Nb hours: 42.00
Nb hours per week: 3.00
Control form: examen écrit