Lineshape distortions and baseline undulations are the well-known undesirable effects of the linear phase correction, when applied to signals the initial part of which is corrupted, either duplicated or missing. While the former imperfection can be cured easily by proper time setting, the latter is more principal. It is shown, however, that some general prior knowledge of spectra enables the reconstruction of the missing part of the signal with high fidelity and the removal of most of the distortions appearing in the absorption-mode spectra. For this purpose a simple procedure is proposed yielding good results even after a single iteration step. Simplicity, negligible computational requirements, and its efficacy are the main advantages of this method.
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