Fractional Fourier Domain PAPR Reduction

Abstract

High peak-to-average power ratio (PAPR) has long posed a challenge for multi-carrier systems, impacting amplifier efficiency and overall system performance. This paper introduces dynamic angle fractional Fourier division multiplexing (DA-FrFDM), an innovative multi-carrier system that effectively reduces PAPR for both QAM and Gaussian signals with minimal signaling overhead. DA-FrFDM leverages the fractional Fourier domain to balance PAPR characteristics between the time and frequency domains, achieving significant PAPR reduction while preserving signal quality. Furthermore, DA-FrFDM refines signal processing and enables one-tap equalization in the fractional Fourier domain through the simple multiplication of time-domain signals by a quadratic phase sequence. Our results show that DA-FrFDM not only outperforms existing PAPR reduction techniques but also retains efficient inter-carrier interference (ICI) mitigation capabilities in doubly dispersive channels.

Figures (4)

• Figure 1: The structural framework of DA-FrFDM.
• Figure 2: CCDF of PAPR with different PAPR reduction techniques: (a) PAPR reduction for complex Gaussian signals; (b) PAPR reduction for 64QAM; (c) PAPR reduction for 128QAM.
• Figure 3: Decoding performance with different PAPR reduction techniques: (a) MSE of complex Gaussian signals; (b) BER of 64QAM signals; (c) BER of 128QAM signals.
• Figure 4: Trade-off between PAPR and $P_{ICI}$ in doubly dispersive channels.

Theorems & Definitions (12)

• Remark 1
• Definition 1
• Lemma 1
• proof
• Theorem 2
• proof
• Theorem 3
• proof
• Theorem 4: Circular Convolution for DA-FrFDM
• proof