4. Information carried by a signal
The future evolution of a random natural signal cannot be predicted, so knowledge of its value at the present moment provides information: the signal is said to carry information. This quantity, which we perceive intuitively, is not easy to define quantitatively, but it is natural to attribute certain properties to it:
is a positive quantity;
it is additive: every new signal brings a quantity of information that is added to that which we already possess;
it is linked to the probability associated with the event: for example, learning the winning number of the National Lottery (one million numbers, probability of one of them: 10 –6 ) requires a greater amount of information than learning the result of a coin toss (probability 1/2...
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Information carried by a signal
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