After a brief introduction, the main contents of the course are organized in 4 chapters.

The title and the main contents of the different chapters are presented below.


Introduction.

1. Noise in communications systems

  • Review: Probability and random variables
  • Random processes
  • Statistical model for thermal noise (white and Gaussian processes)

2. Analog Modulations

  • Amplitude modulations
    • Conventional AM modulation
    • Double SideBand (DSB) modulation
    • Single SideBand (SSB) modulation
    • Vestigial SideBand (VSB) modulation
  • Angle modulations
    • Phase Modulation (PM)
    • Frequency Modulation (FM)
  • Noise in analog communication systems
    • Noise effect in amplitude modulations
    • Noise effect in angle modulations

3. Modulation and Detection in Gaussian Channels

  • Vector representation of energy signals
  • Digital communication model
    • Encoder
      • Constellation design and binary assignment (Gray codes)
    • Modulator
      • Design for different types of channels
    • Demodulator
      • Correlators and matched filters
      • Statistical model for the observations
    • Detector
      • Maximum a Posteriori (MAP) criterion
      • Maximum Likelihood (ML) criterion
      • Minimum Euclidean Distance (MED) criterion
      • Error probabilities (at symbol and bit levels)

4. Fundamental limits in digital communications (Information Theory)

  • Probabilistic source models
  • Probabilistic channel models
  • Quantitative measures of information
    • Entropies
    • Mutual information
  • Channel capacity
    • Digital channels
    • Gaussian channels
  • Limits for a digital communication system
Last modified: Thursday, 26 October 2023, 8:48 AM