Range Estimation and Range-Doppler Imaging Using Signed Measurements in LFMCW Radar

We consider range estimation and range-Doppler imaging using signed measurements of a radar system. Known time-varying thresholds are investigated for taking the signed measurements through one-bit sampling, and are compared with unknown dithering with known probability density function. The maximum likelihood (ML) approach is considered for signal parameter estimation. Since the ML algorithm is computationally prohibitive, a relaxation-based approach, referred to as the One-Bit RELAX algorithm, is used for signal parameter estimation. The conventional RELAX algorithm proposed for high-resolution sampling is also considered for comparison purposes. Moreover, a model-order selection tool, namely the Bayesian information criterion, is used to determine the number of scatterers within the scene of interest. Both numerical and experimental examples are provided to demonstrate the performance of the proposed approaches.

[1]  Jian Li,et al.  One-bit digital radar , 2017, 2017 51st Asilomar Conference on Signals, Systems, and Computers.

[2]  Jian Li,et al.  Efficient mixed-spectrum estimation with applications to target feature extraction , 1995, Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers.

[3]  Jian Li,et al.  One-bit compressive sampling with time-varying thresholds for sparse parameter estimation , 2016, 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM).

[4]  Vito Pascazio,et al.  Synthetic aperture radar imaging by one bit coded signals , 1998 .

[5]  Robert W. Heath,et al.  Hybrid Architectures With Few-Bit ADC Receivers: Achievable Rates and Energy-Rate Tradeoffs , 2016, IEEE Transactions on Wireless Communications.

[6]  Murat Torlak,et al.  Automotive Radars: A review of signal processing techniques , 2017, IEEE Signal Processing Magazine.

[7]  Gilda Schirinzi,et al.  Design and demonstration of a real time processor for one-bit coded SAR signals , 1996 .

[8]  Anders Høst-Madsen,et al.  Effects of sampling and quantization on single-tone frequency estimation , 2000, IEEE Trans. Signal Process..

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

[10]  Jian Li,et al.  On angular-domain channel estimation for one-bit massive MIMO systems with fixed and time-varying thresholds , 2017, 2017 51st Asilomar Conference on Signals, Systems, and Computers.

[11]  V. Pascazio,et al.  Time-domain convolution of one-bit coded radar signals , 1991 .

[12]  Jian Li,et al.  One-Bit compressive sampling with time-varying thresholds for multiple sinusoids , 2017, 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[13]  Jian Li,et al.  One-bit compressive sampling with time-varying thresholds: Maximum likelihood and the Cramér-Rao bound , 2016, 2016 50th Asilomar Conference on Signals, Systems and Computers.

[14]  Jian Li,et al.  Model Order Determination for Signed Measurements via the Bayesian Information Criterion , 2018, 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM).

[15]  Richard G. Baraniuk,et al.  1-Bit compressive sensing , 2008, 2008 42nd Annual Conference on Information Sciences and Systems.

[16]  Petre Stoica,et al.  On the Proper Forms of BIC for Model Order Selection , 2012, IEEE Transactions on Signal Processing.

[17]  Jian Li,et al.  Compressive pulse-Doppler radar sensing via 1-bit sampling with time-varying threshold , 2017, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[18]  Elias Masry,et al.  The reconstruction of analog signals from the sign of their noisy samples , 1980, IEEE Trans. Inf. Theory.

[19]  Rong Zhang,et al.  Bayesian Information Criterion for Signed Measurements With Application to Sinusoidal Signals , 2018, IEEE Signal Processing Letters.

[20]  Ming Yan,et al.  Robust 1-bit Compressive Sensing Using Adaptive Outlier Pursuit , 2012, IEEE Transactions on Signal Processing.

[21]  Y. Selen,et al.  Model-order selection: a review of information criterion rules , 2004, IEEE Signal Processing Magazine.

[22]  V. Pascazio,et al.  Processing of signum coded SAR signal: theory and experiments , 1991 .

[23]  A. T. Mobashsher,et al.  Detection and localization of brain strokes in realistic 3-D human head phantom , 2013, 2013 IEEE MTT-S International Microwave Workshop Series on RF and Wireless Technologies for Biomedical and Healthcare Applications (IMWS-BIO).

[24]  Petre Stoica,et al.  Maximum likelihood estimation of the parameters of multiple sinusoids from noisy measurements , 1989, IEEE Trans. Acoust. Speech Signal Process..

[25]  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.