Zero Correlation Zone Sequence Pair Sets for MIMO Radar

Inspired by recent advances in multiple-input multiple-output (MIMO) radar, we apply orthogonal phase coded waveforms to MIMO radar system in order to gain better range resolution and target direction finding performance. We provide and investigate a generalized MIMO radar system model using orthogonal phase coded waveforms. In addition, we slightly modify the system model to improve the system performance. Accordingly, we propose the concept and the design methodology for a set of ternary phase coded waveforms that is the optimized punctured zero correlation zone (ZCZ) sequence-pair set (ZCZPS). We also study the MIMO radar ambiguity function of the system using phase coded waveforms, based on which we analyze the properties of our proposed phase coded waveforms which show that better range resolution could be achieved. In the end, we apply our proposed codes to the two MIMO radar system models and simulate their target direction finding performances. The simulation results show that the first MIMO radar system model could obtain ideal target direction finding performance when the number of transmit antennas is equal to the number of receive antennas. The second MIMO radar system model is more complicated but could improve the direction finding performance of the system.

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

[2]  M.B. Pursley,et al.  Crosscorrelation properties of pseudorandom and related sequences , 1980, Proceedings of the IEEE.

[3]  Danyo Danev,et al.  Upper bounds on the minimum distance of spherical codes , 1996, IEEE Trans. Inf. Theory.

[4]  U. Somaini Binary Sequences with Good Autocorrelation and Cross Correlation Properties , 1975, IEEE Transactions on Aerospace and Electronic Systems.

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

[6]  Jian Li,et al.  Waveform Synthesis for Diversity-Based Transmit Beampattern Design , 2007 .

[7]  Naoki Suehiro,et al.  Class of binary sequences with zero correlation zone , 1999 .

[8]  D. Fuhrmann,et al.  Transmit beamforming for MIMO radar systems using partial signal correlation , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[9]  Naoki Suehiro,et al.  A new class of zero-correlation zone sequences , 2004, IEEE Transactions on Information Theory.

[10]  P. Fan,et al.  Lower bounds on correlation of spreading sequence set with low or zero correlation zone , 2000 .

[11]  Pingzhi Fan,et al.  Construction and comparison of periodic digital sequence sets , 1997 .

[12]  Rick S. Blum,et al.  Minimax Robust MIMO Radar Waveform Design , 2007, IEEE Journal of Selected Topics in Signal Processing.

[13]  Alexander M. Haimovich,et al.  Evaluation of Transmit Diversity in MIMO-Radar Direction Finding , 2007, IEEE Transactions on Signal Processing.

[14]  T. Kasami WEIGHT DISTRIBUTION FORMULA FOR SOME CLASS OF CYCLIC CODES , 1966 .

[15]  Oscar Moreno,et al.  Prime-phase sequences with periodic correlation properties better than binary sequences , 1991, IEEE Trans. Inf. Theory.

[16]  Alexander M. Haimovich,et al.  Spatial Diversity in Radars—Models and Detection Performance , 2006, IEEE Transactions on Signal Processing.

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

[18]  Jian Li,et al.  On Parameter Identifiability of MIMO Radar , 2007, IEEE Signal Processing Letters.

[19]  Hao He,et al.  Designing Unimodular Sequence Sets With Good Correlations—Including an Application to MIMO Radar , 2009, IEEE Transactions on Signal Processing.

[20]  P. M. Woodward RADAR AMBIGUITY ANALYSIS , 1967 .

[21]  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.

[22]  Philip M. Woodward,et al.  Probability and Information Theory with Applications to Radar , 1954 .

[23]  Pingzhi Fan,et al.  SEQUENCE DESIGN FOR COMMUNICATIONS APPLICATIONS , 1996 .

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

[25]  Pingzhi Fan,et al.  Two Types of Polyphase Sequence Sets for Approximately Synchronized CDMA Systems , 2003, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[26]  R. Gold,et al.  Optimal binary sequences for spread spectrum multiplexing (Corresp.) , 1967, IEEE Trans. Inf. Theory.

[27]  Daniel W. Bliss,et al.  Multiple-input multiple-output (MIMO) radar and imaging: degrees of freedom and resolution , 2003, The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003.

[28]  Lloyd R. Welch,et al.  Lower bounds on the maximum cross correlation of signals (Corresp.) , 1974, IEEE Trans. Inf. Theory.

[29]  Shengli Zhou,et al.  Enhanced multistatic radar resolution via STC , 2009, 2009 IEEE Radar Conference.

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