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2010

Chebyshev approximation of the null function by an affine combination of complex exponential functions

9 years 6 months ago
Chebyshev approximation of the null function by an affine combination of complex exponential functions
We describe the theoretical solution of an approximation problem that uses a finite weighted sum of complex exponential functions. The problem arises in an optimization model for the design of a telescopes array occurring within optical interferometry for direct imaging in astronomy. The problem is to find the optimal weights and the optimal positions of a regularly spaced array of aligned telescopes, so that the resulting interference function approximates the zero function on a given interval. The solution is given by means of Chebyshev polynomials. Key words. Chebyshev approximation, Chebyshev polynomials, complex exponential functions, interferometry, optimization
Paul Armand, Joël Benoist, Elsa Bousquet
Added 19 May 2011
Updated 19 May 2011
Type Journal
Year 2010
Where JAT
Authors Paul Armand, Joël Benoist, Elsa Bousquet
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