Analog computing implementing arbitrary non-linear functions using Chebyshev-polynomial-interpolation schemes and methods of use

摘要

The inventive disclosures described herein pertain to an improved physical analog computer that features the ability to evaluate arbitrary non-linear functions using an interpolation method based on Chebyshev polynomials. What has been developed is an improved method for non-linear-function generation in hybrid computing that relies on Chebyshev interpolation. The method requires an initial computation of the interpolation coefficients, which is to be carried out in the digital domain. These coefficients, along with the domain of definition of the non-linear function to be generated, are used during the programming of the analog domain to set multiplier and summer elements.