Due to its spectral efficiency and well-localized spectrum, a quadrature amplitude modulation based filter-bank multi-carrier (QAM-FBMC) is considered as one of the candidate for 5G mobile communications. In this paper, we propose a novel waveform design for the QAM-FBMC system considering time dispersion parameter. The utilization of the proposed filter with the real number filter coefficients enables simpler implement than the conventional multiple prototype filters with complex coefficients. Simulation results show that the proposed QAM-FBMC systems has superior spectral efficiency as compared to CP-OFDM. Moreover, a new designed filter shows the improvement in the performance compared with the conventional QAM-FBMC systems on multipath fading channel.