Adaptive Fourier Decomposition and Rational Approximation Techniques represent a significant evolution in the analysis and reconstruction of signals and functions. These methods extend classical ...

This is a preview. Log in through your library . Abstract This paper provides a theoretical analysis of a higher-order. FFT-based integral equation method introduced recently [IEEE Trans. Antennas and ...

In this paper the existence of one-sided filters is proved for spectral Fourier approximations of discontinuous functions, which can recover spectral accuracy up to the discontinuity from one side. A ...

The construction of a PERIODIC signal on the basis of Fourier coefficients which give the AMPLITUDE and PHASE angle of each component sine wave HARMONIC. These coefficients are obtained through ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Circular harmonic algorithms can be derived from the inversion formula of Cormack (1963). For the 2D problem Rf = g it is obtained by Fourier expansions where is the Chebysheff polynomial of the ...