Interferometric transform spectrometer (ITS) systems and methods of operation thereof. In one example, an ITS system includes a Michelson interferometer that introduces a varying optical path length difference (OPD) between its two arms so as to produce an interferogram, a detector that receives and samples the interferogram, and a scan controller coupled to the detector and to Michelson interferometer. The scan controller controls the Michelson interferometer to vary the OPD in discrete steps such that the detector provides M samples of the interferogram for each of two scan segments. In the first scan segment, the M samples have a uniform or non-uniform sample spacing and the OPD has a first maximum value. In the second scan segment, the M samples have an incrementally increasing sample spacing and the OPD has a second maximum value that is at least twice the first maximum value.