Abstract

A novel method is presented for approximating the energy spectral density (ESD) of discrete data sequences over a limited frequency range. The method uses a truncated Taylor series expanded about one frequency, and is faster than FFT (fast Fourier transform) interpolation. The approximation error is analytically bounded, using the remainder theorem. As an example application, the procedure is used for center frequency estimation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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