Pilot design for multiple domains channel estimation in special cases of affine frequency division multiplexing

IF 2.2 4区计算机科学 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Physical Communication Pub Date : 2025-09-27 DOI:10.1016/j.phycom.2025.102863

Vincent Savaux

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引用次数: 0

Abstract

This paper deals with pilot design for affine frequency division multiplexing (AFDM) modulation, enabling multipath channel estimation in both affine and frequency domains, as well as frequency offset (Doppler) estimation in the time domain. The basic principle is straightforward as it involves transmitting a unique chirp subcarrier, with its parameters properly chosen to produce equispaced, constant-modulus subcarriers in the frequency domain. As a result, standard channel estimation methods used in OFDM can also be applied in an AFDM system using a discrete Fourier transform (DFT)-based receiver. Nevertheless, the channel estimation can also be performed in affine domain if a conventional discrete affine Fourier transform (DAFT)-based AFDM receiver is employed. Additionally, leveraging the invariance property of chirps under time-domain translation, a sub-optimal maximum likelihood (ML) estimator of the frequency offset is proposed, based on the same pilot design. Simulation results show that the proposed method leads to similar bit error rate (BER) performance when channel estimation is performed in the frequency domain, instead of the affine domain as usual. Moreover, AFDM significantly outperforms orthogonal frequency division multiplexing (OFDM) by more than 3 dB.

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仿射频分复用特殊情况下的多域信道估计导频设计

本文讨论了仿射频分复用（AFDM）调制的导频设计，实现了在仿射域和频域的多径信道估计以及在时域的频偏（多普勒）估计。基本原理很简单，因为它涉及传输一个唯一的啁啾子载波，其参数适当选择以在频域中产生均衡的、恒定模量的子载波。因此，在OFDM中使用的标准信道估计方法也可以应用于使用基于离散傅里叶变换（DFT）的接收机的AFDM系统。然而，如果采用传统的基于离散仿射傅立叶变换（DAFT）的AFDM接收机，也可以在仿射域进行信道估计。此外，利用啁啾在时域平移下的不变性，基于相同的导频设计，提出了频率偏移的次优最大似然估计器。仿真结果表明，该方法在频域进行信道估计而不是在仿射域进行信道估计时，具有相似的误码率性能。此外，AFDM的性能比正交频分复用（OFDM）高出3db以上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Communication ENGINEERING, ELECTRICAL & ELECTRONICTELECO-TELECOMMUNICATIONS

CiteScore

5.00

自引率

9.10%

发文量

212

审稿时长

55 days

期刊介绍： PHYCOM: Physical Communication is an international and archival journal providing complete coverage of all topics of interest to those involved in all aspects of physical layer communications. Theoretical research contributions presenting new techniques, concepts or analyses, applied contributions reporting on experiences and experiments, and tutorials are published. Topics of interest include but are not limited to: Physical layer issues of Wireless Local Area Networks, WiMAX, Wireless Mesh Networks, Sensor and Ad Hoc Networks, PCS Systems; Radio access protocols and algorithms for the physical layer; Spread Spectrum Communications; Channel Modeling; Detection and Estimation; Modulation and Coding; Multiplexing and Carrier Techniques; Broadband Wireless Communications; Wireless Personal Communications; Multi-user Detection; Signal Separation and Interference rejection: Multimedia Communications over Wireless; DSP Applications to Wireless Systems; Experimental and Prototype Results; Multiple Access Techniques; Space-time Processing; Synchronization Techniques; Error Control Techniques; Cryptography; Software Radios; Tracking; Resource Allocation and Inference Management; Multi-rate and Multi-carrier Communications; Cross layer Design and Optimization; Propagation and Channel Characterization; OFDM Systems; MIMO Systems; Ultra-Wideband Communications; Cognitive Radio System Architectures; Platforms and Hardware Implementations for the Support of Cognitive, Radio Systems; Cognitive Radio Resource Management and Dynamic Spectrum Sharing.