It is a crucial factor to find the robust and simple computation methods for the actual application of telephone speech recognition. In this paper, we propose a new channel compensation method, which uses a RASTA-like band-pass filter on the mel-frequency cepstral coefficients for robust telephone speech recognition. It is shown from the experiments that the proposed method, comparing with the RASTA processing, reduces the computational complexity without losing performance, and it is also better than CMS and two level CMS on the performance. We also verify that it is an effective approach to suppress very low modulation frequencies for robust telephone speech recognition.