Titlebook: Numerical Fourier Analysis; Gerlind Plonka,Daniel Potts,Manfred Tasche Book 20181st edition Springer Nature Switzerland AG 2018 fourier an

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https://doi.org/10.1007/978-3-030-04306-3fourier analysis; fourier series; fourier transforms; discrete fourier transforms; fast fourier transfor

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Multidimensional Fourier Methods,In this chapter, we consider .-dimensional Fourier methods for fixed .. We start with Fourier series of .-variate, 2.-periodic functions . in Sect. 4.1, where we follow the lines of Chap. .. In particular, we present basic properties of the Fourier coefficients and learn about their decay for smooth functions.

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Fast Fourier Transforms for Nonequispaced Data,In this chapter, we describe fast algorithms for the computation of the DFT for .-variate nonequispaced data, since in a variety of applications the restriction to equispaced data is a serious drawback. These algorithms are called .and abbreviated by NFFT.

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Prony Method for Reconstruction of Structured Functions,der the parameter estimation problem, where the classical Prony method and its relatives are described. In Sect. 10.2, we study frequently used methods for solving the parameter estimation problem, namely MUSIC (MUltiple Signal Classification), APM (Approximate Prony Method), and ESPRIT (Estimation of Signal Parameters by Rotational Invariance).

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Numerical Fourier Analysis978-3-030-04306-3Series ISSN 2296-5009 Series E-ISSN 2296-5017