In 1987, he was awarded the National Medal of Technology : " For his forceful promotion of statistical methodology, for his contributions to sampling theory, and for his advocacy to corporations and nations of a general management philosophy that has resulted in improved product quality . " In 1988, he received the " Distinguished Career in Science " award from the National Academy of Sciences.
42.
On the other hand, Sinc functions and Airy functions-which are not only the point spread functions of rectangular and circular apertures, respectively, but are also cardinal functions commonly used for functional decomposition in interpolation / sampling theory [ Scott 1990 ]-"'do "'correspond to converging or diverging spherical waves, and therefore could potentially be implemented as a whole new functional decomposition of the object plane function, thereby leading to another point of view similar in nature to Fourier optics.
43.
Because mechanical engineering topics like friction, dampening etc . have very close analogies in signal science ( inductance, resistance, voltage, etc . ), many of the tools originally used in ME transformations ( Laplace and Fourier transforms, Lagrangians, sampling theory, probability, difference equations, etc . ) have now been applied to signals, circuits, systems and their components, analysis and design in EE . Dynamical systems that involve noise, filtering and other random or chaotic attractors and repellors have now placed stochastic sciences and statistics between the more deterministic discrete and continuous functions in the field . ( Deterministic as used here means signals that are completely determined as functions of time ).
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