In this paper a novel feature enhancing method for channel robustness with short utterances is employed. The transform reduces the time-varying component of the channel distortion by applying a band-pass filter along the filter-bank domain on a frame-by-frame basis. This procedure enhances the channel cancelling effect given by techniques based on feature trajectory filtering. The transformation parameters are defined employing relative importance analysis based on a discriminant function. In text-dependent speaker verification with telephone speech the transform leads to a reduction in the EER of 10.8%, and further improvements of 23.5% and 40% when combined with RASTA or CMN, respectively.