Ambiguity function and imaging performance of coded FMCW waveforms with fast 4D receiver processing in MIMO radar

Abstract In this paper, a novel design and processing of nearly orthogonal waveforms based on frequency modulated continuous wave (FMCW) signals for multiple-input, multiple-output (MIMO) radars is presented. The design, implementation and results of the complete system, capable of detection and imaging of radar targets, are here described. The orthogonality of sounding signals is critical for multi-channel radar applications since the interference between signals can significantly limit the radar's ability for observation of weak targets in presence of stronger targets and background clutter. The orthogonal waveforms are designed by coding consecutive complex FMCW signals in a frame so that they can be sent to the different transmit antennas of the radar allowing the simultaneous operation of all transmit channels. Unlike time division switching approaches, the orthogonality in the proposed architecture, is achieved by applying several coding techniques, at a symbol level: Golay complementary, Zadoff Chu, Direct Spread Spectrum (DSS), Space-Time Block Coded, Discrete Fourier Transform (DFT) and Costas based sequences. Moreover, a radar receiver processing, based on a complex frame based convolution between transmit and received waveforms together with 4-dimensional Fast Fourier Transform (4D-FFT) beamforming, is presented. This allows for a fast and complete sensing of range, azimuth, elevation and Doppler in a single frame. The performance of the proposed waveforms is evaluated through the analysis of their cross ambiguity functions and imaging capabilities, while the general performance of the radar's receiver processing is shown through the use of multiple radar images. The flexibility in generating such orthogonal coded waveforms and the proposed general receiver architecture are an important first step for developing a future software programmable MIMO radar.

[1]  Michael C. Wicks,et al.  Principles of waveform diversity and design , 2011 .

[2]  Yang-Seok Choi,et al.  On channel estimation and detection for multicarrier signals in fast and selective Rayleigh fading channels , 2001, IEEE Trans. Commun..

[3]  Muralidhar Rangaswamy,et al.  A novel approach for designing diversity radar waveforms that are orthogonal on both transmit and receive , 2013, 2013 IEEE Radar Conference (RadarCon13).

[4]  Jian Li,et al.  Waveform Synthesis for Diversity-Based Transmit Beampattern Design , 2007, IEEE Transactions on Signal Processing.

[5]  Jian Li,et al.  Range Compression and Waveform Optimization for MIMO Radar: A CramÉr–Rao Bound Based Study , 2007, IEEE Transactions on Signal Processing.

[6]  T. Naghibi,et al.  MIMO Radar Waveform Design in the Presence of Clutter , 2011, IEEE Transactions on Aerospace and Electronic Systems.

[7]  D.W. Bliss,et al.  Waveform Correlation and Optimization Issues for MIMO Radar , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[8]  T. Naghibi,et al.  Optimal and robust waveform design for MIMO radars in the presence of clutter , 2010, Signal Process..

[9]  Jian Li,et al.  MIMO radar waveform design , 2012 .

[10]  Daniel W. Bliss,et al.  MIMO Radar Waveform Constraints for GMTI , 2010, IEEE Journal of Selected Topics in Signal Processing.

[11]  Hongbin Li,et al.  MIMO Radar Waveform Design With Constant Modulus and Similarity Constraints , 2014, IEEE Transactions on Signal Processing.

[12]  Branislav M. Popovic,et al.  Generalized chirp-like polyphase sequences with optimum correlation properties , 1992, IEEE Trans. Inf. Theory.

[13]  Jian Li,et al.  On Probing Signal Design For MIMO Radar , 2006, IEEE Transactions on Signal Processing.

[14]  V. Winkler,et al.  Range Doppler detection for automotive FMCW radars , 2007, 2007 European Radar Conference.

[15]  Cyril Leung,et al.  Efficient computation of DFT of Zadoff-Chu sequences , 2009 .

[16]  Hongbo Sun,et al.  Analysis and comparison of MIMO radar waveforms , 2014, 2014 International Radar Conference.

[17]  Galina Babur,et al.  Space-time codes for active antenna systems: Comparative performance analysis , 2013 .

[18]  A. Robert Calderbank,et al.  Space-Time block codes from orthogonal designs , 1999, IEEE Trans. Inf. Theory.

[19]  Daniel R. Fuhrmann,et al.  MIMO Radar Ambiguity Functions , 2006, IEEE Journal of Selected Topics in Signal Processing.

[20]  Yong Wang,et al.  On parameter identifiability of MIMO radar with waveform diversity , 2011, Signal Process..

[21]  Branka Vucetic,et al.  Space-Time Coding , 2003 .

[22]  James A. Davis,et al.  Peak-to-mean power control in OFDM, Golay complementary sequences and Reed-Muller codes , 1998, Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252).

[23]  Shengli Zhou,et al.  Reducing the Waveform Cross Correlation of MIMO Radar With Space–Time Coding , 2010, IEEE Transactions on Signal Processing.

[24]  Rick S. Blum,et al.  MIMO radar waveform design based on mutual information and minimum mean-square error estimation , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[25]  P. P. Vaidyanathan,et al.  MIMO Radar Waveform Optimization With Prior Information of the Extended Target and Clutter , 2009, IEEE Transactions on Signal Processing.

[26]  Benjamin Friedlander,et al.  On the Relationship Between MIMO and SIMO Radars , 2009, IEEE Transactions on Signal Processing.

[27]  R. Srinivasan,et al.  Ambiguity functions, processing gains, and Cramer-Rao bounds for matched illumination radar signals , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[28]  D.J. Rabideau,et al.  Adaptive MIMO radar waveforms , 2008, 2008 IEEE Radar Conference.

[29]  J.P. Costas,et al.  A study of a class of detection waveforms having nearly ideal range—Doppler ambiguity properties , 1983, Proceedings of the IEEE.

[30]  H. Rohling,et al.  Continuous wave MIMO radar based on time division multiplexing , 2012, 2012 13th International Radar Symposium.

[31]  R. Sivaswamy,et al.  Multiphase Complementary Codes , 1978, IEEE Trans. Inf. Theory.

[32]  Wasim Huleihel,et al.  Optimal Adaptive Waveform Design for Cognitive MIMO Radar , 2013, IEEE Transactions on Signal Processing.

[33]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[34]  P. P. Vaidyanathan,et al.  MIMO Radar Ambiguity Properties and Optimization Using Frequency-Hopping Waveforms , 2008, IEEE Transactions on Signal Processing.

[35]  S. Brebels,et al.  PMCW waveform and MIMO technique for a 79 GHz CMOS automotive radar , 2016, 2016 IEEE Radar Conference (RadarConf).

[36]  B. Friedlander,et al.  Waveform Design for MIMO Radars , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[37]  Xu Wang,et al.  On the Design of Constant Modulus Probing Signals for MIMO Radar , 2012, IEEE Transactions on Signal Processing.

[38]  Nadav Levanon Multifrequency radar signals , 2000, Record of the IEEE 2000 International Radar Conference [Cat. No. 00CH37037].