MECHANIZATION OF THE NPO
Analog computer elements were used to simulate one NPO which was tested in the experimental configuration shown in [Figure 6]. The NPO operates upon a channel which is artificially generated from the two noise generators i₁ and i₂ and the signal generator i₀ (i₀ may also be a noise generator). The NPO accepts the inputs labelled X₁ and X₂ and provides the three outputs Ξ₁, Ξ₂, and γ. X₁ is the linear combination of the outputs of generators i₁ and i₀, similarly X₂ is obtained from i₂ and i₀.
Figure 6—Experimental test configuration for the simulation of an NPO
Obviously, i₀ is an important parameter since it represents the memory relating the spaces X₁ and X₂. Ξ₁ has the property that the magnitude of its projection on i₀ is a maximum while Ξ₂ to the opposite has a zero projection on i₀. γ is the detected version of the eigenvalue of Ch(X₂,X₁).
In the companion paper it was shown how one can provide a Euclidean geometrical representation of the NPO. This representation is shown in [Figure 7] which shows the vectors i₀, i₁, i₂, X₁, X₂, Ξ₁, Ξ₂, and the angles Θ₁, Θ₂, and γ. The length of a vector is given by
|X| = κₓ(2πε)⁻¹ᐟ² ∈ H(X)
and the angle between two vectors by
|Θ(X₁,X₂)|-sin⁻¹ ∈ -R(X₁,X₂).
The three vectors i₀, i₁, i₂ provide an orthogonal coordinate system because the corresponding signals are random, i.e.,