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A novel criterion for designing of nonlinear companding functions for peak-to-average power ratio reduction in multicarrier transmission systems
Peng S., Yuan Z. Wireless Networks24 (2):581-595,2018.Type:Article
Date Reviewed: Aug 22 2018

Since the rise of orthogonal frequency division multiplexing (OFDM) in fourth generation wireless (4G) communication, multicarrier wireless communication has gained significant attention. Some issues must be addressed in order to achieve a more effective and performant modulation framework in a scalable and flexible manner. In this regard, the paper discusses peak-to-average power ratio (PAPR) mitigation via a signal companding technique.

The authors focus on the issue of high PAPR in multicarrier communication systems. They discuss companding transform techniques, which deploy “an amplitude-variable weight to the signal” to mitigate the unfavorable effects of high PAPR, like out-of-band radiation and interchannel interference with signal distortion. They propose an effective trigonometric function companding scheme refinement to traditional nonlinear companding methods, and evaluate its effectiveness.

In the development of the proposed ideas, the paper provides a system model based on the companding component. The authors formulate the multicarrier model, paying attention to PAPR. Companding transform is explained: “transform the amplitude distribution of the original multicarrier signals into the desired [probability distribution function, PDF] forms.” The magnitude of the input data stream is formulized as a Rayleigh distribution, which expresses the variation of peak power to average power. The power and statistics of multicarrier signals are counted as basic parameters for a companding scheme design to achieve reduced distortion.

Next in the quest for equilibrium between system performance factors like PAPR, bit error rate (BER), spectrum efficiency, and implementation complexity, inflections (segments) are introduced into the PDF. The presented theorems address PAPR reduction performance, concavity and convexity, out-of-band interference (OBI), smoothness, and so on. The provided examples help readers understand the proposed theorems, and the related numerical experiments illustrate the obtained results.

The paper presents a nice mathematical discussion, based on PDFs, about the important issue of PAPR in multicarrier communication systems. However, the algebraic discussions could be blended more with the multicarrier communication subjects to help readers digest the ideas. As a whole, it’s a good paper on an important subject.

Reviewer:  Mohammad Sadegh Kayhani Pirdehi Review #: CR146213 (1811-0571)
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