Random Signal and Digital Communication - 4PMISIC1

Goal(s)

The preliminary objective is to give basic principles of Random Signal Processing.
The main objective is to give the basic principle of digital transmission, consisting in sending digital information into physical (analog) channel, ans see current basic techniques. I use Information Theory results (C. Shannon) to give and interpret achievable performance and position the performance of basic modulations techniques (especially in terms of spectral efficiency and energy efficiency trade-offs). Other objective is to briefly present gives also a brief introduction of present radio-frequency transmission systems (e.g. : Mobile communication).

Content(s)

0. Random Signal Processing : ergodicity, 2nd order stationary stochastic process, correlation and power spectral density, input/output filtering equations, White Gaussian Noise, etc

1. Base-band digital transmission

• line code : M-ary modulation with orthogonal Dictionnaries, Linear Modulations (Pulse-amplitude Modulations), general properties (power, power spectrum density, euclidian distance, energy and spectral efficiencies)
• Performance over AWGN channel case: Matched filter (Correlator), Nyquist criteria (Free Inter-Symbol-Interference criterion)
  2. Carrier frequency digital transmission :
  -Digital modulation : I/Q modulation-demodulation, linear (phase, amplitude, quadrature-amplitude) modulations,
  -Coherent reception (AWGN case): detection theory, performances (bit error rate, spectral efficiency, distance from information theory),

3. Radio transmission systems :
General information about transmission systems (microwave links, satellite links, and radio-mobile communications, introduction to advances transmissions techniques such as CDMA (used in UMTS, ...) and OFDM (used in DVB, TNT, ...).

Part 1 will be treated in depth, while Parts 2 and 3 will be seen only briefly as extensions.

The course will be illustrated by classic Classworks as well as by Labworks sessions. The latter will consist of a guided mini-project consisting of developing a digital communication simulation chain and interpreting the results directly linked to the course. This will will result in the redaction of a report which will be noted (1/3 of the overall mark).

• Basic of Deterministic signal Processing (Analog and Digital)