Continuous-time signal recovery from 1-bit multiple measurement vectors

The gridless one-bit direction of arrival (DOA) estimator is proposed to estimate electromagnetic (EM) sources on a nested cross-dipole array, and the multiple measurement vectors (MMV) mode is introduced to improve the reliability of parameter estimation. The gridless method is based on atomic norm minimization, solved by alternating direction multiplier method (ADMM). With gridless method used, sign inconsistency caused by one-bit measurements and basis mismatches by traditional grid-based algorithms can be avoided. Furthermore, the reconstructed denoising measurements with fast convergence and stable recovery accuracy are obtained by ADMM. Finally, spatial smoothing root multiple signal classification (SSRMUSIC) and dual polynomial (DP) methods are used, respectively, to estimate the DOAs on the reconstructed denoising measurements. Numerical results show that our method one-bit ADMM-SSRMUSIC has a better performance than that of one-bit SSRMUSIC used directly. At low signal to noise ratio (SNR) and low snapshot, the one-bit ADMM-DP has an excellent performance which is even better than that of unquantized MUSIC. In addition, the proposed methods are also suitable for both completely polarized (CP) signals and partially polarized (PP) signals.

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“…From Equations ( 44) and ( 46), we have h b X,Xi R = τ kXk A . It can be seen from Equations ( 17), (19), and (20), thatÂð f , bÞ…”

Section: Admm For One-bit Multiple Snapshot Modelmentioning

confidence: 99%

“…Nevertheless, the hardware cost of ADC is still at a high level for large-scale nested cross-dipole arrays. One-bit measurements are popular to decline the consumption [19][20][21]. In [22], one-bit SS-MUSIC is proposed for DOA estimation of EM source signals.…”

Section: Introductionmentioning

confidence: 99%