Efficient hardware implementation of the exponential function using hyperbolic functions
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United States of America Patent
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Aug 2, 2022
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app pub date -
Aug 24, 2020
filing date -
Aug 24, 2020
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Abstract
Apparatus and associated methods relate to determining a natural exponent from a digital word input by splitting the digital word, and retrieving a precalculated and predetermined value from a data store at an address defined by the first word. In an illustrative example, the retrieved value may be a hyperbolic sum. The hyperbolic sum may be multiplied by the second word. The hyperbolic sum may be scaled, and summed with the multiplication result to generate a scaled exponential value. The scaled exponential value may be scaled to produce an exponential value representing eX. In various examples, the digital word input may be in a fixed point or a floating point format, or converted therebetween. In various embodiments, the data store may be a lookup table. Various examples may provide a compact and versatile architecture for determining a natural exponent with minimized hardware resources.
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