In mobile communications, post-processing methods are used to improve the intelligibility of speech in adverse background noise conditions. In this study, post-processing based on modelling the Lombard effect is investigated. The study focuses on comparing different spectral envelope estimation methods together with Gaussian mixture modelling in order to change the spectral tilt of speech in a post-processing algorithm. Six spectral envelope estimation methods are compared using objective distortion measures as well as subjective word-error rate and quality tests in different near-end noise conditions. Results show that one of the envelope estimation methods, stabilised weighted linear prediction, yielded statistically significant improvement in intelligibility over unprocessed speech.