To mitigate the inter-symbol interference (ISI) and inter-carrier interference (ICI) over doubly selective (DS) channel, we, in this paper proposed a novel communication system, generalized hybrid carrier modulation (GHCM) system with the partial fast Fourier transform (FFT) demodulation. The GHCM system, which is based on the multi-Weighted type fractional Fourier transform (M-WFRFT), merges together the components of single carrier modulation (SCM) system and orthogonal frequency division multiplexing (OFDM) system. And GHCM system with partial FFT demodulation is expected to perform better than SCM and OFDM systems with the same demodulation and channel equalization over DS channels. In this paper, we first derive the structure of GHCM with partial FFT demodulation after the basic knowledge. According to the numerical simulation, it can be demonstrated that the GHCM with partial FFT performs better than SC and OFDM systems. Furthermore, GHCM can be the development of hybrid carrier modulation (HCM) system.
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