Proof of Five periodic characteristics for MP-WFRFT
2023 5th International Conference on Electronics and Communication, Network and Computer Technology (ECNCT)（2023）
Abstract
The traditional research based on the multi parameter weighted fractional Fourier transform (MP-WFRFT) mainly focuses on the periodic characteristics of the modulation order. There is no systematic analysis and research on the order and integer parameters in the multi parameter MP-WFRFT. In this paper, through the derivation of five basic theorems related to periodicity in MP-WFRFT transformation, the correctness of the derived periodicity is verified through simulations. These periodic characteristics of MP-WFRFT are of great significance for parameter matching and encryption design in future transceiver system.
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Key words
Multiparameter weighted fractional Fourier transform (MP-WFRFT),periodic characteristics,parameter matching,transceiver system
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