UWB virtual beamforming using hermite fractional delay filter sets combining autoregressive modeling

The digital beamforming (DBF) of ultra-wideband (UWB) radar is a challenging issue and its performance is closely affected by the delay compensation filters and the aperture of the antenna array. In this paper, a high-resolution DBF method for UWB signals utilizing Hermite fractional delay filter sets combining a virtual array created by a vector extrapolation algorithm on autoregressive(AR) models is presented. Theoretical analysis indicates that the magnitude response and the group delay of the Hermite fractional delay filter sets are much more accurate than that of the traditional method such as Lagrange fractional delay Alter over the whole frequency band, and the adopted virtual array creation algorithm can extend the aperture of the original array to 6 times. Simulation results of the DBF performance using UWB linear frequency modulated (LFM) signals for two different scenarios also demonstrate the superiority of the proposed method.

[1]  Paul M. Chau,et al.  Constrained Sensor System Resolves Closely Spaced Obscured Low-SNR Sources Using Virtual Beamforming , 2014, IEEE Transactions on Instrumentation and Measurement.

[2]  S. Marple,et al.  Two-dimensional lattice linear prediction parameter estimation method and fast algorithm , 2000, IEEE Signal Processing Letters.

[3]  Li Ning,et al.  Broadband digital beamforming based on fractional delay in SAR systems , 2009, 2009 2nd Asian-Pacific Conference on Synthetic Aperture Radar.

[4]  Unto K. Laine,et al.  Splitting the unit delay [FIR/all pass filters design] , 1996, IEEE Signal Process. Mag..

[5]  F.W. Vook,et al.  The bandwidth performance of linear adaptive arrays with tapped delay-line processing , 1990, International Symposium on Antennas and Propagation Society, Merging Technologies for the 90's.

[6]  Unto K. Laine,et al.  Splitting the Unit Delay - Tools for fractional delay filter design , 1996 .

[7]  John H. L. Hansen,et al.  Discrete-Time Processing of Speech Signals , 1993 .

[8]  Chien-Cheng Tseng,et al.  Design of Fractional Delay Filter Using Hermite Interpolation Method , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  Paul M. Chau,et al.  Low-Level Sinusoidal Signal Detection From a High-Resolution Virtual Spectral Image Using Autoregressive Vector Extrapolation , 2012, IEEE Transactions on Instrumentation and Measurement.

[10]  Chien-Cheng Tseng,et al.  Design of Wideband Fractional Delay Filters Using Derivative Sampling Method , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Lei Wang,et al.  3–5 GHz 4-Channel UWB Beamforming Transmitter With 1$^{\circ}$ Scanning Resolution Through Calibrated Vernier Delay Line in 0.13- $\mu\hbox{m}$ CMOS , 2012, IEEE Journal of Solid-State Circuits.

[12]  Sun Chao,et al.  Time-domain nearfield wideband beamforming based on fractional delay filters , 2011, 2011 IEEE 3rd International Conference on Communication Software and Networks.

[13]  Cyril Decroze,et al.  UWB passive beamforming for large antenna arrays , 2014, 2014 IEEE International Conference on Ultra-WideBand (ICUWB).