The OFDM scheme has the problems of out-of-band (OOB) leakage and low transmission efficiency in the time domain. This is because the scheme is a single frequency single carrier one in which one carrier is generated by one frequency. To overcome the problems we propose multiple frequencies multiple carriers (MFMC) scheme in which one carrier is generated using many frequencies. We establish a practical model which not only eliminates these disadvantages but also improves the transmission efficiency and peak-to-average power ratio (PAPR) performance. In the proposed MFMC scheme, the filter matrix is used in order to confine the OOB leakage of the spectrums of transmit signal, which is generated through processes such as jump-removing, filtering, and orthogonalizing from an initial matrix. MFMS is evaluated compared with OFDM in view of transmission efficiency, OOB leakage, and bit error rate performance.