Abstract

Hexagonal multicarrier modulation (HMM) system is the technique of choice to overcome the impact of time-frequency dispersive transmission channel. This paper examines the effects of insufficient synchronization (carrier frequency offset, timing offset) on the amplitude and phase of the demodulated symbol by using a projection receiver in hexagonal multicarrier modulation systems. Furthermore, effects of CFO, TO, and channel spread factor on the performance of signal-to-interference-plus-noise ratio (SINR) in hexagonal multicarrier modulation systems are further discussed. The exact SINR expression versus insufficient synchronization and channel spread factor is derived. Theoretical analysis shows that similar degradation on symbol amplitude and phase caused by insufficient synchronization is incurred as in traditional cyclic prefix orthogonal frequency-division multiplexing (CP-OFDM) transmission. Our theoretical analysis is confirmed by numerical simulations in a doubly dispersive (DD) channel with exponential delay power profile and U-shape Doppler power spectrum, showing that HMM systems outperform traditional CP-OFDM systems with respect to SINR against ISI/ICI caused by insufficient synchronization and doubly dispersive channel.

Highlights

  • Multicarrier modulation (MCM) is a popular transmission scheme in which the data stream is split into several substreams and transmitted, in parallel, on different subcarriers

  • Our theoretical analysis is confirmed by numerical simulations, showing that Hexagonal multicarrier modulation (HMM) systems outperform traditional CPOFDM systems with respect to signal-to-interference-plus-noise ratio (SINR) against intersymbol interference (ISI)/intercarrier interference (ICI) caused by carrier frequency offset (CFO), timing offset (TO), and doubly dispersive channel

  • cyclic prefix orthogonal frequency-division multiplexing (CP-Orthogonal frequency-division multiplexing (OFDM)) with guard Ng = N/4 perfectly suppresses ISI caused by TO within cyclic prefix, but does a poor job of combating the doubly dispersive (DD) channel, and there is an SINR gap between HMM and CP-OFDM about 4 ∼ 7 dB at SNR = 30 dB

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Summary

Introduction

Multicarrier modulation (MCM) is a popular transmission scheme in which the data stream is split into several substreams and transmitted, in parallel, on different subcarriers. It is shown that the hexagonal multicarrier transmission systems obtain lower energy perturbation, outperform OFDM and LOFDM systems from the robustness against channel dispersion point of view. Effects of CFO, TO, and channel spread factor on the performance of SINR in hexagonal multicarrier modulation systems are further discussed. The exact SINR expression versus CFO, TO, and channel spread factor is derived Both theoretical analysis and simulation results show that similar degradation on symbol amplitude and phase caused by insufficient synchronization is incurred as in CP-OFDM transmission. Our theoretical analysis is confirmed by numerical simulations, showing that HMM systems outperform traditional CPOFDM systems with respect to SINR against ISI/ICI caused by CFO, TO, and doubly dispersive channel

Signal Transmission and TF Lattice
Effects of Nonideal Transmission Conditions
Numerical Results and Disscussion
Conclusion
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