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11.4
Conclusions
Spectral analysis of the weights of that follow the QHO model was based on previ-
ous studies of wavelets' energy spectrum. Spectral analysis of quantum associative
memories has shown that: (a) The Gaussian basis functions of the weights express
the distribution of the energy with respect to the weights' value. The smaller the
spread of the basis functions is, the larger becomes the spectral (energy) content that
can be captured therein. Narrow spread of the basis functions results in wide range
of frequencies of the Fourier transformed pulse, (b) The stochastic weights satisfy an
equation which is analogous to the principle of uncertainty. Through numerical and
simulation tests it has been confirmed that the representation of the basis functions
in the space and in the frequency domain cannot be, in both cases, two sharply
localized.
