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In applied mathematics, the regressive discrete Fourier series (RDFS) is a generalization of the discrete Fourier transform where the Fourier series coefficients are computed in a least squares sense and the period is arbitrary, i.e., not necessarily equal to the length of the data. It was first proposed by Arruda (1992a, 1992b). It can be used to smooth data in one or more dimensions and to compute derivatives from the smoothed curve, surface, or hypersurface.

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  • Regressive discrete Fourier series (en)
  • Serie discreta regressiva de Fourier (pt)
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  • In applied mathematics, the regressive discrete Fourier series (RDFS) is a generalization of the discrete Fourier transform where the Fourier series coefficients are computed in a least squares sense and the period is arbitrary, i.e., not necessarily equal to the length of the data. It was first proposed by Arruda (1992a, 1992b). It can be used to smooth data in one or more dimensions and to compute derivatives from the smoothed curve, surface, or hypersurface. (en)
  • Na matemática aplicada, a série regressiva discreta de Fourier (RDFS) é uma generalização da transformada discreta de Fourier, onde os coeficientes da série de Fourier são calculados em um sentido de mínimos quadrados e o período é arbitrário, ou seja, não necessariamente igual ao comprimento dos dados. Foi proposto pela primeira vez por Arruda (1992a, 1992b). Ele pode ser usado para suavizar dados em uma ou mais dimensões e calcular derivados da curva suavizada, superfície ou hipersuperfície . (pt)
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  • In applied mathematics, the regressive discrete Fourier series (RDFS) is a generalization of the discrete Fourier transform where the Fourier series coefficients are computed in a least squares sense and the period is arbitrary, i.e., not necessarily equal to the length of the data. It was first proposed by Arruda (1992a, 1992b). It can be used to smooth data in one or more dimensions and to compute derivatives from the smoothed curve, surface, or hypersurface. (en)
  • Na matemática aplicada, a série regressiva discreta de Fourier (RDFS) é uma generalização da transformada discreta de Fourier, onde os coeficientes da série de Fourier são calculados em um sentido de mínimos quadrados e o período é arbitrário, ou seja, não necessariamente igual ao comprimento dos dados. Foi proposto pela primeira vez por Arruda (1992a, 1992b). Ele pode ser usado para suavizar dados em uma ou mais dimensões e calcular derivados da curva suavizada, superfície ou hipersuperfície . (pt)
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