BER Analysis of WFRFT-Based Systems with Order Offset

Yuan LIANG  Xinyu DA  Ruiyang XU  Lei NI  Dong ZHAI  Yu PAN  

IEICE TRANSACTIONS on Communications   Vol.E102-B   No.2   pp.277-284
Publication Date: 2019/02/01
Publicized: 2018/07/25
Online ISSN: 1745-1345
DOI: 10.1587/transcom.2018EBP3139
Type of Manuscript: PAPER
Category: Fundamental Theories for Communications
weighted-type fractional Fourier transform (WFRFT),  order offset,  non-zero mean Gaussian noise,  equivalent signal noise ratio,  bit error rate (BER),  

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We propose a novel bit error rate (BER) analysis model of weighted-type fractional Fourier transform (WFRFT)-based systems with WFRFT order offset Δα. By using the traditional BPSK BER analysis method, we deduce the equivalent signal noise ratio (SNR), model the interference in the channel as a Gaussian noise with non-zero mean, and provide a theoretical BER expression of the proposed system. Simulation results show that its theoretical BER performance well matches the empirical performance, which demonstrates that the theoretical BER analysis proposed in this paper is reliable.