Planetary influences on electrical engineering

Article Abstract:

The science of electrical engineering evolved from early studies of planetary motion, and modern astronomy still provides a forum for new developments. The equations of James Clerk Maxwell, central to electrical engineering, were derived from his study of the rings of Saturn. William Gilbert, who made tremendous contributions to electric and magnetic science, studied the magnetic force of Earth, as well as arguing with Copernicus that stars were not fixed on a sphere. Today, astronomy, with its vast scope, continues to connect with electrical engineering. There are numerous problems to be solved, many requiring the design of new instruments. A knowledge of how past engineering developments originated allows modern engineers to take advantage of current conditions and developments. The connections between astronomy and electrical engineering must be taught to engineering students in order to ensure that future problems will be addressed with a broad view.

Astronomy, History, Technical, Electrical engineering, Engineering Education

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A three-dimensional DFT algorithm using the Fast Hartley Transform

Article Abstract:

A three-dimensional Discrete Fourier Transform (DFT) algorithm is introduced for real data using the one-dimensional Fast Hartley Transform (FHT). The algorithm requires the same number of one-dimensional transforms as a direct Fast Fourier Transform approach, but it is simpler and it retains the speed advantage provided by the Hartley approach. The technique uses a decomposition of the cas function kernel of the Hartley transform to obtain a temporary transform. This transform is then corrected by some additions to generate the three-dimensional DFT.

Technology, Product introduction, Image processing, Three dimensional graphics, Three-Dimensional Graphics, Mathematics of Computing, New Technique, Discrete Mathematics, Fast Fourier Transforms

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Comments on 'fast interpolation algorithm using fast Hartley transform.' (technical)

Article Abstract:

Several errors in 'Fast Interpolation Algorithm Using Fast Hartley Transform' (Apr, 1987) are cited. The interpolation algorithm is intended to reduce computational load and mean-square error when compared to a fast Fourier transform approach. Corrections to the gain of the low-pass filter and the kernel of the cas function are accepted by the author of the original, with the stipulation that the authors of the current letter have introduced further error in other expressions.

Interpolation, Algorithms, Error analysis (Mathematics), Algorithm, Evaluation, Error Analysis, Transforms

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