2. Information processing intensity
In order to illustrate this problem, let us use the example of an abstract relay A which captures packets of data
(information). Information packets that have an information value which is too low (or, analogously, too high) are rejected,
whereas others are forwarded. This mechanism is analogous to the way in which a high-pass (or low-pass) filter functions.
Let us assume that the information measure of information packets that are captured by A is a real random variable having
a distribution that is characterised by parameter s. Let us also assume that the actions of capturing and rejecting a packet of
data as well as the process of forwarding the packet of data that has been captured take the same amount of time.
We denote by Iin a random variable which describe the value of information of each single non-filtered package. The
probability density function of such a random variable is pdfγ (x) (γ is the parameter of the distribution). Iout is another
random variable which measures the contents of the information package of intercepted (filtered) and transferred (emitted)
information. We also need to define a random variable (takes values from the set of the natural numbers) T which measures
the total time of interception and transfer of the intercepted information package: