ELEN E4702

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Communication Theory

  1. Brief probability refresher
  2. Mathematical definition of random process
  3. Moments: mean, (auto)correlation, covariance
  4. Stationarity, Ergodicity
  5. Transmission through a linear time invariant filter
  6. Power spectral density
  7. Noise processes: The Gaussian process and the AWGN channel
  8. Signal to noise ratios in linear and FM receivers.
  9. Digital transmission: coherent ASK, PSK, FSK modulation and probability of error
  10. Signal-space analysis: Signals as vectors, the AWGN channel as a vector channel; maximum likelihood decoding, correlation receivers, and probability of error.
  11. Introduction to information theory: Shannon's source and channel coding theorems
  12. Introduction to coding theory: linear block codes, cyclic codes, Hamming codes.