SCIENCE CHINA Information Sciences, Volume 61, Issue 8: 082301(2018) https://doi.org/10.1007/s11432-017-9259-0

## BER analysis of STBC hybrid carrier system based on WFRFT with frequency domain equalization

• AcceptedOct 10, 2017
• PublishedMay 18, 2018
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### Abstract

The inherent characteristic of hybrid carrier (HC) scheme based on the weighted-type fractional Fourier transform (WFRFT) is revealed.The proposed linear combination of single carrier (SC) and multi-carrier's (MC) characteristics is helpful to balance the conflicting requirements and achieve the comparative analysis of SC/MC.As an example, analytical SER/BER expressions of HC system with zero forcing (ZF) and minimum mean square error (MMSE) equalization are derived.In addition, the derived BER expressions are extended to multi-input systems.A unified framework of space time block code (STBC) HC scheme is proposed with two WFRFT modules at the transmitter or receiver,where STBC-SC and STBC-MC systems are the special cases of the novel structure.

### Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant No. 61671179), National Basic Research Program of China (Grant No. 2013CB329003), and Science and Technology on Information Transmission and Dissemination in Communication Networks Laboratory (Grant No. EX156410046).

• Figure 1

Framework of HC with FDE.

• Figure 2

Framework of WFRFT precoded STBC-MC/SC-FDE system.

• Figure 3

(Color online) SER of HC system with frequency domain ZF/MMSE equalization over ITU Ped-B channel: markers denote the simulation results and lines denote the analytic results. (a) ZF; (b) MMSE.

• Figure 4

(Color online) BER of HC system with frequency domain ZF/MMSE equalization over ITU Ped-B channel: markers denote the simulation results and lines denote the analytic results. (a) ZF; (b) MMSE.

• Figure 5

(Color online) BER of QPSK modulated WFRFT-STBC-MC/SC system with frequency domain ZF/MMSE equalization: markers denote the simulation results and lines denote the analytic results. (a) ZF; (b) MMSE.

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