Abstract Researching on the relationships among different multiple weighted type fractional Fourier transform (multi-WFRFT) schemes, we in this paper provide the modulation order relation of different multi-WFRFT in theory. Moreover, we also prove that the two matrix spaces (i.e., 4-WFRFT and multi-WFRFT) are equivalent. To apply multi-WFRFT into the wireless communication, we design the implementation structure of multi-WFRFT (in particular, for 2 n -WFRFT scheme). Furthermore, the generalized hybrid carrier modulation (GHCM) system has been proposed in this paper, which can be degenerated to the classical hybrid carrier modulation (HCM) system with special parameters. We also verify the modulation order relationship between multi-WFRFT by numerical simulations. Leveraging the theory and structure of multi-WFRFT, we finally discuss its potential applications over secure communication and multiple input multiple output (MIMO) system.

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wireless matrix spaces ie 4wfrft modulation order relationship multiple weighted type fractional fourier transform multiwfrft schemes simulations wfrft scheme multiple input multiple output mimo system multiwfrft in particular generalized hybrid carrier modulation ghcm system secure communication

Yong Li,Zhiqun Song,Xuejun Sha,.The multi-weighted type fractional fourier transform scheme and its application over wireless communications. 2018 (1),.

Yong Li,Zhiqun Song,Xuejun Sha,"The multi-weighted type fractional fourier transform scheme and its application over wireless communications" 2018

Yong Li,Zhiqun Song,Xuejun Sha,"The multi-weighted type fractional fourier transform scheme and its application over wireless communications"