Intuitive definition of ergodicity for random signal

1. What is the definition of ergodicity in random process?
2. What is the principle of ergodicity?
3. What is an example of ergodicity?
4. What is an example of an ergodic random process?

What is the definition of ergodicity in random process?

A random process for which ensemble averages are identical to time or spatial averages is said to be ergodic. (See Stochastic Process for definitions of averages.) Both types of averaging are acceptable ways of describing a random process.

What is the principle of ergodicity?

The ergodic theorem, when applied say to a mechanical system such as one might meet in statistical mechanics or in celestial mechanics, allows one to conclude remarkable results about the average behavior of the system over long periods of time, provided that the system is metrically transitive (a concept to be defined ...

What is an example of ergodicity?

Rolling a dice is an example of an ergodic system. If 500 people roll a fair six-sided dice once, the expected value is the same as if I alone roll a fair six-sided dice 500 times.

What is an example of an ergodic random process?

Cast a regular die with 6 faces. Toss a normal coin. If nothing outside tries to influence the result (an invisible being that catches the die and shows some face of its choice), you are likely to produce an ergodic process.