Multi-tone Sine Wave Generation Achieving the Theoretical Minimum of Peak-To-Average Power Ratio

  • Yuming Zhuang
  • Degang Chen


Multi-tone signals have been widely used in various applications. One of the bottlenecks is how to maximize the signal power given a ecertain peak range, namely, achieving the minimum peak-to-average power ratio (PAPR). In this chapter, a novel strategy is proposed to achieve the minimum PAPR for multi-tone sine waves. By properly selecting each tone’s frequency and initial phase, the multi-tone sine waves can achieve the minimum amplitude, while maintaining total signal power, without power loss during signal generation. It is rigorously proved that the proposed method can achieve the theoretical minimum of PAPR. Extensive simulation results for various cases are presented that validate the desired property of the generated waveform. Guidelines are provided for practical implementation of the multi-tone sine waves, such as signal and system spectral testing, maximizing power amplifier transmission efficiency, multi-carrier transmission, orthogonal frequency-division multiplexing (OFDM), and other wireless communication systems.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Yuming Zhuang
    • 1
  • Degang Chen
    • 2
  1. 1.Qualcomm IncSan DiegoUSA
  2. 2.Iowa State UniversityAmesUSA

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