Combined Eigenvector Analysis and Independent Component Analysis For Multi-Component Periodic Interferences Suppression In PRCPM-PD Detection System

Interference suppression and information extraction in pseudorandom code phase modulated pulse Doppler detection system is a practical and challenging problem. In order to extract useful range and velocity in the presence of single-channel multi-component periodic interferences, this paper presents an interference suppression method based on eigenvector analysis and independent component analysis (ICA) by leveraging the characteristic of generalized periodicity of received signal. Using the generalized period of the transmitted signal, we divide the observed received signal into different segments and derive the sample covariance matrix. By computing the eigenvalue decomposition of the sample covariance matrix, we obtain all the eigenvectors and find the corresponding eigenvector with the maximum eigenvalue, which is the sum of the basic waveform components with the same generalized period. Then multi-dimensional matrix can be structured by changing the length of observed signal. The multi-dimensional matrix is used to accomplish ICA so as to separate all the components. Finally, the useful echo signal can be reconstructed; the range and velocity information can be obtained. Simulation results show that the proposed method is effective to excise multi-component periodic interferences and obtain the range and velocity information accurately at high signal to interference ratio (SIR). At low SIR, recursive separation is required. Compared with the existing methods, the proposed method has better performance.

[1]  H. Teager Some observations on oral air flow during phonation , 1980 .

[2]  E. S. Warner,et al.  Single-channel blind signal separation of filtered MPSK signals , 2003 .

[3]  Liu Guosui,et al.  The Development of Random Signal Radars , 1999 .

[4]  Fabio Dovis,et al.  Use of Wavelet transforms for interference mitigation , 2011, 2011 International Conference on Localization and GNSS (ICL-GNSS).

[5]  Jianping An,et al.  A Minimum Value Based Threshold Setting Strategy for Frequency Domain Interference Excision , 2010, IEEE Signal Processing Letters.

[6]  Bin Tang,et al.  Single channel pulse train radar signal separation using algebraic method , 2009 .

[7]  Yimin Zhang,et al.  Submitted to Ieee Transactions on Signal Processing (revised) Array Processing for Nonstationary Interference Suppression in Ds/ss Communications Using Subspace Projection Techniques , 2022 .

[8]  Rolf Unbehauen,et al.  Separation of periodic signals by using an algebraic method , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[9]  Lei Huang,et al.  MMSE-Based MDL Method for Accurate Source Number Estimation , 2009, IEEE Signal Processing Letters.

[10]  James S. Lehnert,et al.  Analysis of DFT-based frequency excision algorithms for direct-sequence spread-spectrum communications , 1998, IEEE Trans. Commun..

[11]  G. Boudreaux-Bartels,et al.  Broadband interference excision in spread spectrum communication systems via fractional Fourier transform , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[12]  Michael A. Casey,et al.  Separation of Mixed Audio Sources By Independent Subspace Analysis , 2000, ICMC.

[13]  Moeness G. Amin,et al.  Jammer mitigation in spread spectrum communications using blind sources separation , 2000, Signal Process..

[14]  Jiang Wen-li Blind Periodic Signal Separation of Single Channel Composite Signal , 2010 .

[15]  Fabio Dovis,et al.  A Comparative Analysis of Adaptive Notch Filtering and Wavelet Mitigation against Jammers Interference , 2015 .

[16]  Yimin Zhang,et al.  Anti-Jamming GPS Receiver With Reduced Phase Distortions , 2012, IEEE Signal Processing Letters.

[17]  Erkki Oja,et al.  The nonlinear PCA learning rule in independent component analysis , 1997, Neurocomputing.

[18]  Danilo Orlando,et al.  Adaptive Radar Detection of a Subspace Signal Embedded in Subspace Structured Plus Gaussian Interference Via Invariance , 2016, IEEE Transactions on Signal Processing.

[19]  Shu-ning Zhang,et al.  The Method of Adaptive Time-varying Interference Cancellation based on FRFT for Pseudo-random Coded Fuze: The Method of Adaptive Time-varying Interference Cancellation based on FRFT for Pseudo-random Coded Fuze , 2011 .

[20]  LJubisa Stankovic,et al.  Bit error probability approximation for short-time Fourier transform based nonstationary interference excision in DS-SS systems , 2009, Signal Process..

[21]  LJubisa Stankovic,et al.  Local Polynomial Fourier Transform Receiver for Nonstationary Interference Excision in DSSS Communications , 2008, IEEE Transactions on Signal Processing.

[22]  G. Saha,et al.  Fetal ECG extraction from single-channel maternal ECG using singular value decomposition , 1997, IEEE Transactions on Biomedical Engineering.

[23]  Fabio Dovis,et al.  Performance Comparison of Transformed-Domain Techniques for Pulsed Interference Mitigation , 2012 .

[24]  Fabio Dovis,et al.  Use of the Karhunen-Loève Transform for interference detection and mitigation in GNSS , 2016, ICT Express.

[25]  Qinye Yin,et al.  A fast refinement for adaptive Gaussian chirplet decomposition , 2002, IEEE Trans. Signal Process..

[26]  Sun Hong-sheng Multi-Component LFM Interference Suppression Based on DCFT and FRFT in DSSS Communication System , 2009 .

[27]  M. Xing,et al.  Transient interference excision and spectrum reconstruction with partial samples for over-the-horizon radar , 2014 .

[28]  S. A. Amitsur Rational identities and applications to algebra and geometry , 1966 .

[29]  Fabio Dovis,et al.  A comparison of transformed-domain techniques for pulsed interference removal on GNSS signals , 2012, 2012 International Conference on Localization and GNSS.

[30]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[31]  J. Muth,et al.  Modulated pulse laser with pseudorandom coding capabilities for underwater ranging, detection, and imaging. , 2011, Applied optics.

[32]  LJubisa Stankovic,et al.  A parametric method for non-stationary interference suppression in direct sequence spread-spectrum systems , 2011, Signal Process..

[33]  B. Friedlander,et al.  Multicomponent signal analysis using the polynomial-phase transform , 1996, IEEE Transactions on Aerospace and Electronic Systems.

[34]  Moeness G. Amin,et al.  Interference mitigation in spread spectrum communication systems using time-frequency distributions , 1997, IEEE Trans. Signal Process..

[35]  LJubisa Stankovic,et al.  Order adaptive local polynomial FT based interference rejection in spread spectrum communication systems , 2005, IEEE Transactions on Instrumentation and Measurement.

[36]  Aapo Hyvärinen,et al.  A Fast Fixed-Point Algorithm for Independent Component Analysis of Complex Valued Signals , 2000, Int. J. Neural Syst..

[37]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[38]  Moeness G. Amin,et al.  Short-time Fourier transform receiver for nonstationary interference excision in direct sequence spread spectrum communications , 2001, IEEE Trans. Signal Process..