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MOOC Massive Open Online Courses (Ακαδημαϊκό έτος 2022/2023)

Signal Theory


Πιστώσεις: 4
Γλώσσα περιεχομένου:Γαλλικά
Περιγραφή μαθήματος
The course provides the fundamental methodologies for the analysis and processing of both deterministic and stochastic signals.
Προϋποθέσεις
Basic knowledge of linear algebra, real and complex analysis, probability and statistics.
Πρόγραμμα
  • Introduction.
    • Introduction
    • Signal classification
    • Basic definitions
  • Continuous-time deterministic signals and systems
    • Fourier analysis:
      • Fourier Series and properties
      • Continuous-time Fourier Transform and properties
    • Linear and time-invariant continuous-time systems:
      • Definitions and properties
      • The concept of continuous-time convolution
      • Impulse response and transfer function
      • Stability
  • Continuous-time random processes
    • Introduction and overview on random variables
    • Statistical characterization:
      • Probability density functions
      • Ensemble averages
      • Mean value, standard deviation, variance and autocorrelation
    • Wide sense stationary and cyclostationary processes
    • Linear filtering of random processes
    • Power spectral density
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