SUMMARYA method for smoothing and interpolating a Fourier sine series representation of a continuous signal is developed to take advantage of the relative ease with which sine pulse forming networks can be built. With this method it is possible both to accurately approximate the signal at the points where the sine harmonics are all zero and to smooth the signal. A method is also developed to combat round-off error in the extraction of the harmonic coefficients, and an expression is derived for the maximum error in the representation. Finally, examples are presented to show the effectiveness of this method.
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