Abstract

This paper presents a pulse shaping method robust to insufficient synchronization in orthogonal frequency division multiplexing with offset quadrature amplitude modulation (OFDM/OQAM) systems over doubly dispersive (DD) channels. The proposed pulse is designed as a linear combination of several well localized Hermite functions. The coefficients optimization problem is modeled as a nonconvex constrained fractional programming problem based on the signal-to-interference ratio (SIR) maximization criterion. An efficient iterative algorithm is applied to simplify the problem to a series of quadratically constrained quadratic program (QCQP) problems which can be solved by semidefinite relaxation (SDR) method. Simulation results show that the proposed pulse is superior to traditional pulses with respect to SIR performance over DD channels in the presence of carrier frequency offset (CFO) and timing offset (TO).

Highlights

  • Multicarrier (MC) transmission is employed in various communication systems due to its robustness against time dispersion caused by multipath propagation

  • Filter Bank Multicarrier (FBMC) technology has been intensively studied as an alternative to Orthogonal frequency division multiplexing (OFDM) in order to improve the robustness against various dispersive channels and to increase the bandwidth efficiency [5]

  • The set of prototype pulses such as Hermite, isotropic orthogonal transform algorithm (IOTA), square-root raised-cosine (SRRC), and optimal finite duration pulse (OFDP) will serve as a basis for our comparison

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Summary

Introduction

Multicarrier (MC) transmission is employed in various communication systems due to its robustness against time dispersion caused by multipath propagation. In order to counteract the drawbacks of OFDM systems, some pulse-shaping OFDM (PS-OFDM) systems have been proposed [1,2,3,4] These systems are more robust to frequency dispersion caused by Doppler effect and carrier frequency offset (CFO) by employing prototype pulses with lower sidelobe and faster spectral decay. Filter Bank Multicarrier (FBMC) technology has been intensively studied as an alternative to OFDM in order to improve the robustness against various dispersive channels and to increase the bandwidth efficiency [5]. In [11], a novel cost function for optimization of the filter bank prototype pulse is proposed to achieve robust performance over DD channels. A robust prototype pulse modeled as the linear combination of normalized Hermite functions is proposed for OFDM/OQAM systems.

System Model
Pulse Design and SIR Criterion
Optimization Strategy and Algorithm
Numerical Results
Conclusion
Constraints Caused by the Operation of Matrix Kronecker Product
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