Abstract

A procedure is developed for the <i>exact</i> interpolation of apodized, magnitude-mode Fourier transform (FT) spectra. The procedure gives the true center frequency, i.e., the location of the <i>continuous</i> peak, from just the largest three discrete intensities in the <i>discrete</i> magnitude spectrum. The procedure is applicable for the peaks in the apodized magnitude spectrum of time signal of the form <i>f</i>(<i>t</i>) = cos(ω<i>t</i>) exp(–<i>t</i>/τ). There are <i>no</i> restrictions on the value of the damping ratio <i>T</i>/τ. The procedure is demonstrated for the sine-bell and Hanning windows and is gener-alizable to other windows which consist of a sum of constants and sine/cosine terms. This includes the majority of commonly used windows.

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