1. Stationary random functions
1.1 Definitions of random functions and stationarity
Let's consider a discrete or continuous random variable, denoted x; we'll say this variable is a "random function" if it depends on a continuously changing parameter t, bounded or not. We usually refer to the random function as x (t).
In most applications, t represents the time variable.
To facilitate graphical representation or to practice numerical processing of random functions, the variable...
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Stationary random functions
Ergodic principle
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