Aula nº25

22 Abril 2024, 09:30 • Adolfo Cartaxo

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Quizziz "Funções amostra I". Review of stationarity of random processes. Properties of the autocorrelation function of wide-sense stationary processes. Solving Problem 4.15. Time averages. Example of application to the process v(t)=X with discrete random variable that takes the values 5 and 0 with probabilities of 0.7 and 0.3, respectively. Ensemble average versus time average. Ergodicity of random processes. Relation between stationarity and ergodicity. Quizziz "Estacionariedade e ergodicidade I". 

Aula nº24

18 Abril 2024, 11:00 • Adolfo Cartaxo

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Random signals and stochastic processes: fundamental definitions (random process, random signal and random variable), autocorrelation function. Solving Problem 4.1-(a), and (b).  Cross-correlation and covariance functions, independence, uncorrelatedness and orthogonality of random processes. Solving Problem 4.1- (c), (d) and (e). Stationarity of random processes. Solving Problem 4.7-(a).

Aula nº24

18 Abril 2024, 09:30 • Adolfo Cartaxo

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Random signals and stochastic processes: fundamental definitions (random process, random signal and random variable), autocorrelation function. Solving Problem 4.1-(a), and (b).  Cross-correlation and covariance functions, independence, uncorrelatedness and orthogonality of random processes. Solving Problem 4.1- (c), (d) and (e). Stationarity of random processes. Solving Problem 4.7-(a).

Aula nº23

17 Abril 2024, 11:00 • Adolfo Cartaxo

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Solving quizziz "Binomial, Poisson e exponencial I". Illustration of the Central Limit Theorem in Matlab for the sum of independent random variables with uniform distribution and the sum of independent random variables with triangular distribution. Introduction, objectives and bibliography of Chapter 4 "Random Signals and Noise with Applications to TCE". Random signals and stochastic processes: fundamental definitions (random process, random signal and random variable), mean value of random process.

Aula nº23

17 Abril 2024, 09:30 • Adolfo Cartaxo

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Solving quizziz "Binomial, Poisson e exponencial I". Illustration of the Central Limit Theorem in Matlab for the sum of independent random variables with uniform distribution and the sum of independent random variables with triangular distribution. Introduction, objectives and bibliography of Chapter 4 "Random Signals and Noise with Applications to TCE". Random signals and stochastic processes: fundamental definitions (random process, random signal and random variable), mean value of random process.