Abstract

The wideband linear frequency modulation (LFM) signals are widely used in information systems. The conventional direction-of arrival (DOA) estimation algorithms of LFM signals rely on a large number of snapshots, some of which are not reliable in numerous practical applications such as underwater array processing. To solve the above problem, we present a modified sparse iterative covariance (MSPICE)-based estimation method in fractional Fourier transform (FrFT) domain to estimate the DOA of wideband LFM signals. First, we extend the original SPICE algorithm in FrFT domain with a specific transform order for wideband LFM signals. Then, we utilize the energy centrobaric modification method to make the original SPICE more accurate without adding more computational complexity. The simulation results demonstrate the effectiveness of the proposed method.

Highlights

  • direction-of arrival (DOA) estimation arises an important problem in a number of fields including sonar, radar, and wireless communication in recent years [1,2,3,4]

  • The classical delay-andsum (DAS) method suffers from low resolution and high sidelobe levels, while the well-known multiple signal classification (MUSIC) method, which requires a large amount of snapshots, provides super-resolution DOA estimation for narrowband uncorrelated signals [5]

  • IAA, SLIM, and SPICE algorithms [9] proposed by Stoica are sparsity-based techniques that can estimate the DOA depending on a few snapshots with highresolution and low sidelobes

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Summary

Introduction

DOA estimation arises an important problem in a number of fields including sonar, radar, and wireless communication in recent years [1,2,3,4]. Many DOA estimation approaches have been proposed for them, such as MUSIC method in FrFT domain [6], Estimating signal parameters via rotational invariance techniques (ESPRIT) in FrFT domain [7] and ambiguityfunction-based techniques [8], etc None of these methods is able to provide high-angular resolution depending on very low snapshots which is the case when the environment being sensed by the array is stationary for a short duration of time. IAA, SLIM, and SPICE algorithms [9] proposed by Stoica are sparsity-based techniques that can estimate the DOA depending on a few snapshots with highresolution and low sidelobes They do not apply to wideband LFM signals, because the steering vector of the received signal model is time-variant. Liu et al EURASIP Journal on Wireless Communications and Networking (2017) 2017:28 the simulation results confirm the effectiveness of our algorithm

Array model
The fractional Fourier transform of LFM signal
N AkH XðnÞ2
Findings
Conclusions
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