The economical detection of dulal-tone multifrequency(DTMF) signals is an important factor when developing cost-effective telecommunication equipment. Each channel have independently a DTMF receiver, and it informs the detected signal to processors of the TDX. This paper proposes the linear prediction algorithm for the spectrum analysis. As a experimental resutls, it can obtain the improved performance to the DTMF receivers and reduce the real-time processing and memory waste.