BER Analysis of WFRFT-Based Systems with Order Offset

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

doi:10.1587/transcom.2018EBP3139

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BER Analysis of WFRFT-Based Systems with Order Offset

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

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Keywords: 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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2019 Volume E102.B Issue 2 Pages 277-284

DOI https://doi.org/10.1587/transcom.2018EBP3139

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Abstract

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.

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