On determining the unknown band-parameter and truncated sinc series coefficients from a time sampled band-limited function

Roy Danchick

Applied Mathematics and Computation, 2018, vol. 334, issue C, 60-79

Abstract: In this paper, we address the problem of either approximating or estimating the band-parameter B^ and a coefficient vector C^=[c^−(m−1)/2,c^−(m−1)/2+1,…,c^(m−1)/2]T of specified odd dimension m so that X(t)≈∑k=−(m−1)/2(m−1)/2c^ksinc(2B^t−k), in which the band-limited real-valued sampled function X(t)∈C2(−∞,∞) with true band-parameter B† ∈ [r1,r2]⊂R + , the positive reals.

Keywords: Sinc methods; Sinc series; Fast Fourier Transform; Nonlinear least squares; Gauss–Newton iterative methods (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:334:y:2018:i:c:p:60-79

DOI: 10.1016/j.amc.2018.03.110

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