Anti-scanning research for MPWFRFT communication signals
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Due to the importance of weighted fractional Fourier transform (WFRFT) applications, it has become an important technology in the fields of OFDM and CDMA. Although the single parameter weighted fractional Fourier transform (SPWFRFT) is the most widely used method at present, the multiple-parameter weighted fractional Fourier transform (MPWFRFT) has received increasing attention in order to further improve the anti-scanning performance of the system. Thus, considering the characteristics of digital communications signals with the MPWFRFT, the anti-scanning method is investigated herein. By studying the process of the SPWFRFT, we establish the influence factors and calculate the weighted coefficients. Then, the influence factor is spread, and multiple parameters are added, which allow MPWFRFT processing to be studied in-depth. Based on this research, we carry out anti-scanning research under different conditions. By studying the relationship between the parameters M and V, the optimal parameter setting rules are given. Further, the bit error rate is discussed emphatically, and the minimum scanning interval of all parameters is given. In addition, we discuss the complexity and how to easily decode the useful signals at the receiver, and then the anti-scanning performance of MPWFRFT communication systems is proved.
KeywordsDigital communications Signal processing MPWFRFT Anti-scanning
This work is supported in part by the National Natural Science Foundation of China (Grant No. 61501309), the China Postdoctoral Science Foundation (Grant No. 2017T100185), the Liaoning Natural Science Foundation of China (Grant No. 2017011002-301), and Liaoning Provincial Colleges and Universities Innovative Talents Support Program.
Compliance with ethical standards
Conflict of interest
The authors declare that they have no competing interests.
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