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This course covers signals, systems and inference in communication, control and signal processing.

0

English

English [CC]

FREE

Description

Topics include input-output and state-space models of linear systems driven by deterministic and random signals; time- and transform-domain representations in discrete and continuous time; and group delay. State feedback and observers. Probabilistic models; stochastic processes, correlation functions, power spectra, spectral factorization. Least-mean square error estimation; Wiener filtering. Hypothesis testing; detection; matched filters.

Course content

  • Introduction Unlimited
  • Transforms Unlimited
  • Energy Spectral Density Unlimited
  • State-Space Models Unlimited
  • State-Space Models Unlimited
  • Modal Solution of Undriven CT Unlimited
  • Full Modal Solution Unlimited
  • Matrix Exponential Unlimited
  • Observers for State Estimation Unlimited
  • Observers Unlimited
  • State Feedback Unlimited
  • Probabilistic Models Unlimited
  • Vector Picture for First- and Second-Order Statistics Unlimited
  • LMMSE Estimation Unlimited
  • Normal Equations Unlimited
  • Wide-Sense Stationary Processes Unlimited
  • LTI Filtering of WSS Processes Unlimited
  • Power Spectral Density (PSD) Unlimited
  • Einstein-Wiener-Khinchin Theorem Unlimited
  • Wiener Filtering Unlimited
  • Wiener Filtering Illustrations Unlimited
  • Hypothesis Testing Unlimited
  • Neyman-Pearson Testing Unlimited
  • Signal Detection Unlimited
  • Matched Filtering Unlimited

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Instructor

Massachusetts Institute of Technology
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