[1] At millimeter wavelengths, rotational spectra of trace gases in planetary atmospheres yield essential characteristics such as vertical profiles of abundance, temperature, and winds. The high resolution provided by heterodyne spectroscopy allows to retrieve the chemical composition and thermal structure of the atmosphere with very high accuracy. On several observation campaigns, however, small unexpected differences have been observed in the power spectral density (PSD) response among heterodyne spectrometer backends.In this article, we analyze what the impact of nonlinearity is on these observations. This investigation covers two major topics. The first one seeks to theoretically demonstrate the importance of PSD accuracy for retrieving the correct geophysical parameters under observation. This study is performed by means of radiative transfer and retrieval simulations, which show how deviations in the spectra might produce considerable changes in the vertical profile of trace gases retrieved in the Earth's atmosphere. Once the importance of PSD accuracy has been addressed, the second topic focuses on the detection of nonlinearity in spectrometer backends. On the basis of a differential approach, an improved experiment with more than one order of magnitude higher accuracy than before was conducted in order to detect and study nonlinear behavior in chirp transform spectrometers and, consequently, evaluate possible mechanisms to optimize their response. As a result, it is confirmed that the overall deviations introduced by nonlinearity in spectrometers have been decreased, and thus the performance of the backend instrument has been improved.