On The Asymptotic Performance of One-Bit Co-Array-Based Music

Co-array-based Direction of Arrival (DoA) estimation using Sparse Linear Arrays (SLAs) has recently gained considerable attention in array processing thanks to its capability of providing enhanced degrees of freedom for DoAs that can be resolved. Additionally, deployment of one-bit Analog-to-Digital Converters (ADCs) has become an important topic in array processing, as it offers both a low-cost and a low-complexity implementation. Although the problem of DoA estimation form one-bit SLA measurements has been studied in some prior works, its analytical performance has not yet been investigated and characterized. In this paper, to provide valuable insights into the performance of DoA estimation from one-bit SLA measurements, we derive an asymptotic closed-form expression for the performance of One-Bit Co-Array-Based MUSIC (OBCAB-MUSIC). Further, numerical simulations are provided to validate the asymptotic closed-form expression for the performance of OBCAB-MUSIC and to show an interesting use case of it in evaluating the resolution of OBCAB-MUSIC.

[1]  P. P. Vaidyanathan,et al.  Cramér-Rao bounds for coprime and other sparse arrays, which find more sources than sensors , 2017, Digit. Signal Process..

[2]  Josef A. Nossek,et al.  1-bit direction of arrival estimation based on Compressed Sensing , 2015, 2015 IEEE 16th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[3]  Sven Jacobsson,et al.  One-bit massive MIMO: Channel estimation and high-order modulations , 2015, 2015 IEEE International Conference on Communication Workshop (ICCW).

[4]  Bin Liao,et al.  One-Bit MUSIC , 2019, IEEE Signal Processing Letters.

[5]  Björn Ottersten,et al.  An Asymptotically Efficient Weighted Least Squares Estimator for Co-Array-Based DoA Estimation , 2020, IEEE Transactions on Signal Processing.

[6]  Arye Nehorai,et al.  Sparse Direction of Arrival Estimation Using Co-Prime Arrays with Off-Grid Targets , 2014, IEEE Signal Processing Letters.

[7]  Bjorn Ottersten,et al.  16 Subspace methods for directions-of-arrival estimation , 1993, Signal Processing and its Applications.

[8]  T..  Minimum-Redundancy Linear Arrays , 2022 .

[9]  Arye Nehorai,et al.  Coarrays, MUSIC, and the Cramér–Rao Bound , 2016, IEEE Transactions on Signal Processing.

[10]  J. V. Vleck,et al.  The spectrum of clipped noise , 1966 .

[11]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[12]  Mostafa Kaveh,et al.  The statistical performance of the MUSIC and the minimum-norm algorithms in resolving plane waves in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[13]  Arindam Bose,et al.  One-Bit Radar Processing With Time-Varying Sampling Thresholds , 2019, IEEE Transactions on Signal Processing.

[14]  Bjorn Ottersten,et al.  Array processing for wireless communications , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[15]  Josef A. Nossek,et al.  DOA Parameter Estimation with 1-bit Quantization Bounds, Methods and the Exponential Replacement , 2016, WSA.

[16]  Jian Li,et al.  Compressive radar sensing via one-bit sampling with time-varying thresholds , 2016, 2016 50th Asilomar Conference on Signals, Systems and Computers.

[17]  A. Weiss,et al.  DOA estimation using one-bit quantized measurements , 2002 .

[18]  P. P. Vaidyanathan,et al.  One-bit sparse array DOA estimation , 2017, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[19]  Björn E. Ottersten,et al.  A Statistically Efficient Estimator for Co-array Based DoA Estimation , 2018, 2018 52nd Asilomar Conference on Signals, Systems, and Computers.

[20]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[21]  Bhavani Shankar,et al.  One-Bit DoA Estimation via Sparse Linear Arrays , 2020, ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[22]  F. Li,et al.  Performance analysis for DOA estimation algorithms: unification, simplification, and observations , 1993 .

[23]  Cishen Zhang,et al.  A Discretization-Free Sparse and Parametric Approach for Linear Array Signal Processing , 2013, IEEE Transactions on Signal Processing.

[24]  Braham Himed,et al.  Sparsity-based DOA estimation using co-prime arrays , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[25]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[26]  Amine Mezghani,et al.  Channel Estimation in One-Bit Massive MIMO Systems: Angular Versus Unstructured Models , 2019, IEEE Journal of Selected Topics in Signal Processing.