A note on transformed Fourier systems for the approximation of non-periodic signals

02/01/2021

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by   Robert Nasdala, et al.

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A variety of techniques have been developed for the approximation of non-periodic functions. In particular, there are approximation techniques based on rank-1 lattices and transformed rank-1 lattices, including methods that use sampling sets consisting of Chebyshev- and tent-transformed nodes. We compare these methods with a parameterized transformed Fourier system that yields similar ℓ_2-approximation errors.