Infrared rotatory dispersion (IRD) spectra of induced cholesteric phases resulting from solutions with liquid crystals as solvent can be used in the investigation of optically active compounds. The resolution enhancement for the so-called A-Cotton effects at the absorption bands of the originally nematic solvent by Fourier deconvolution is studied for these IRD spectra. The theoretical basis of the algorithm is discussed, and ample is provided and compared with resolution enhancement by second derivatives. The application can be extended to other fields with dispersion-like spectra.