The Finite Impulse Response Operator (FIRO) method for improving the resolution of bands in a frequency-domain spectrum, developed recently by Jones and Shimokoshi (Applied Spectroscopy <i>37</i>, 59 (1983)), is discussed in detail and its relationship to the analogous method of Kauppinen <i>et al.</i> (Applied Spectroscopy <i>35</i>, 271 (1981), is shown. Under-, self-, and over-deconvolution are discussed for simulated and experimental spectra. Deconvolution of instrumentally broadened bands is discussed and implemented for the <i>v</i><sub>1</sub> Raman band of CCl<sub>4</sub>; use of a Gauss-Lorentz lineshape gives the best results for this band. General guidelines for application of the FIRO method are also given.

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