Abstract: A robust generalized sidelobe canceller is proposed to combat direction of arrival (DOA) mismatches. To estimate the interference-plus-noise (IPN) statistics characteristics, conventional signal of interest (SOI) extraction methods usually collect a large number of segments where only the IPN signal is active. To avoid that collection procedure, we redesign the blocking matrix structure using an eigenanalysis method to reconstruct the IPN covariance matrix from the samples. Additionally, a modified eigenanalysis reconstruction method based on the rank-one matrix assumption is proposed to achieve a higher reconstruction accuracy. The blocking matrix is obtained by incorporating the effective reconstruction into the maximum signal-to-interference-plus-noise ratio (MaxSINR) beamformer. It can minimize the influence of signal leakage and maximize the IPN power for further noise and interference suppression. Numerical results show that the two proposed methods achieve considerable improvements in terms of the output waveform SINR and correlation coefficients with the desired signal in the presence of a DOA mismatch and a limited number of snapshots. Compared to the first proposed method, the modified one can reduce the signal distortion even further.

基于特征分析和最大信干噪比波束形成器的鲁棒广义旁瓣消除器

[1]Buckley K, 1987. Spatial/spectral filtering with linearly constrained minimum variance beamformers. IEEE Trans Acoust Speech Signal Process, 35(3):249-266.

[2]Capon J, 1969. High-resolution frequency-wavenumber spectrum analysis. Proc IEEE, 57(8):1408-1418.

[3]Chen FF, Shen F, Song JY, 2015. Robust adaptive beamforming using low-complexity correlation coefficient calculation algorithms. Electron Lett, 51(6):443-445.

[4]Chen P, Zhao YJ, Liu CC, 2016. Robust adaptive beamforming using a low-complexity steering vector estimation and covariance matrix reconstruction algorithm. Int J Antenn Propag, 2016:2438183.

[5]Cornelis B, Moonen M, Wouters J, 2011. Performance analysis of multichannel Wiener filter-based noise reduction in hearing aids under second order statistics estimation errors. IEEE Trans Audio Speech Lang Process, 19(5): 1368-1381.

[6]Crochiere R, 1980. A weighted overlap-add method of short-time Fourier analysis/synthesis. IEEE Trans Acoust Speech Signal Process, 28(1):99-102.

[7]Doclo S, Spriet A, Wouters J, et al., 2007. Frequency-domain criterion for the speech distortion weighted multichannel Wiener filter for robust noise reduction. Speech Commun, 49(7-8):636-656.

[8]Du L, Li J, Stoica P, 2010. Fully automatic computation of diagonal loading levels for robust adaptive beamforming. IEEE Trans Aerosp Electron Syst, 46(1):449-458.

[9]Feldman DD, 1996. An analysis of the projection method for robust adaptive beamforming. IEEE Trans Antenn Propag, 44(7):1023-1030.

[10]Gannot S, Burshtein D, Weinstein E, 2001. Signal enhancement using beamforming and nonstationarity with applications to speech. IEEE Trans Signal Process, 49(8): 1614-1626.

[11]Gong YY, Wang L, Yao RG, et al., 2017. A robust method to suppress jamming for GNSS array antenna based on reconstruction of sample covariance matrix. Int J Antenn Propag, 2017:9764283.

[12]Griffiths L, Jim C, 1982. An alternative approach to linearly constrained adaptive beamforming. IEEE Trans Antenn Propag, 30(1):27-34.

[13]Gu Y, Leshem A, 2012. Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Trans Signal Process, 60(7):3881-3885.

[14]Gu YJ, Goodman NA., Hong SH, et al., 2014. Robust adaptive beamforming based on interference covariance matrix sparse reconstruction. Signal Process, 96:375-381.

[15]Habets EAP, Benesty J, 2013. Multi-microphone noise reduction based on orthogonal noise signal decompositions. IEEE Trans Audio Speech Lang Process, 21(6):1123-1133.

[16]Haykin S, 2010. Adaptive Filter Theory (4^th Ed.). Publishing House of Electronics Industry, Beijing, China (in Chinese).

[17]Herbordt W, Kellermann W, 2002. Analysis of blocking matrices for generalized sidelobe cancellers for non-stationary broadband signals. Proc IEEE Int Conf on Acoustic Speech Signal Processing, p.IV-4187.

[18]Hoshuyama O, Sugiyama A, Hirano A, 1999. A robust adaptive beamformer for microphone arrays with a blocking matrix using constrained adaptive filters. IEEE Trans Signal Process, 47(10):2677-2684.

[19]Huang F, Sheng W, Ma XF, 2012. Modified projection approach for robust adaptive array beamforming. Signal Process, 92(7):1758-1763.

[20]Huang L, Zhang J, Xu X, et al., 2015. Robust adaptive beamforming with a novel interference-plus-noise covariance matrix reconstruction method. IEEE Trans Signal Process, 63(7):1643-1650.

[21]Jia WM, Jin W, Zhou SH, et al., 2013. Robust adaptive beamforming based on a new steering vector estimation algorithm Signal Process, 93(9):2539-2542.

[22]Li J, Stoica P, 2005. Robust Adaptive Beamforming. John Wiley & Sons, New York, USA.

[23]Li WX, Mao XJ, Zhai ZQ, et al., 2016. High performance robust adaptive beamforming in the presence of array imperfections. Int J Antenn Propag, 2016:3743509.

[24]Qian JH, He ZS, Xie JL, et al., 2017. Null broadening adaptive beamforming based on covariance matrix reconstruction and similarity constraint. EURASIP J Adv Signal Process, 2017:1.

[25]Ren SL, Ge FX, Guo X, et al., 2015. Eigenanalysis-based adaptive interference suppression and its application in acoustic source range estimation. IEEE J Ocean Eng, 40(4):903-916.

[26]Shen F, Chen FF, Song JY, 2015. Robust adaptive beamforming based on steering vector estimation and covariance matrix reconstruction. IEEE Commun Lett, 19(9):1636-1639.

[27]Souden M, Benesty J, Affes S, 2010. On optimal frequency-domain multichannel linear filtering for noise reduction. IEEE Trans Audio Speech Lang Process, 18(2):260-276.

[28]Spriet A, Moonen M, Wouters J, 2004. Spatially pre-processed speech distortion weighted multi-channel Wiener filtering for noise reduction. Signal Process, 84(12):2367-2387.

[29]Talmon R, Cohen I, Gannot S, 2009. Convolutive transfer function generalized sidelobe canceler. IEEE Trans Audio Speech Lang Process, 17(7):1420-1434.

[30]van Trees HL, 2002. Optimum array processing. In: Detection, Estimation, and Modulation Theory, Part IV. Wiley & Sons, New York, NY, USA.

[31]Wang L, Gerkmann T, Doclo S, 2015. Noise power spectral density estimation using MaxNSR blocking matrix. IEEE/ACM Trans Audio Speech Lang Process, 23(9): 1493-1508.

[32]Wang Y, Bao QL, Chen, ZP, 2016. Robust adaptive beamforming using IAA-based interference-plus-noise covariance matrix reconstruction. Electron Lett, 52(13):1185-1186.

[33]Warsitz E, Haeb-Umbach R, 2007. Blind acoustic beamforming based on generalized eigenvalue decomposition. IEEE Trans Audio Speech Lang Process, 15(5):1529-1539.

[34]Warsitz E, Krueger A, Haeb-Umbach R, 2008. Speech enhancement with a new generalized eigenvector blocking matrix for application in a generalized sidelobe canceller. Proc IEEE Int Conf on Acoustic Speech Signal Processing, p.73-76.

[35]Yang LC, Qian YT, 2014. Speech enhancement with a GSC-like structure employing sparse coding. J Zhejiang Univ-Sci C (Comput & Electron), 15(12):1154-1163.

[36]Yuan X, Gan L, 2016. Robust algorithm against large look direction error for interference-plus-noise covariance matrix reconstruction. Electron Lett, 52(6):448-450.

[37]Yuan XL, Gan L, 2017. Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction. Signal Process, 130:233-242.

[38]Zhang ST, Thng ILJ, 2002. Robust presteering derivative constraints for broadband antenna arrays. IEEE Trans Signal Process, 50(1):1-10.

[39]Zhang YP, Li WJ, Chen Q, et al., 2016. A robust adaptive beamformer based on desired signal covariance matrix estimation. Proc IEEE Int Conf on Signal Processing Communications and Computing, p.1-4.

[40]Zhang ZY, Liu W, Leng W, et al., 2016. Interference-plus-noise covariance matrix reconstruction via spatial power spectrum sampling for robust adaptive beamforming. IEEE Signal Process Lett, 23(1):121-125.

[41]Zhao Y, Liu W, Langley RJ, 2011. Adaptive wideband beamforming with frequency invariance constraints. IEEE Trans Antenn Propag, 59(4):1175-1184.

[42]Zhu YT, Zhao YB, Liu J, et al., 2016. Low complexity robust adaptive beamforming for general-rank signal model with positive semidefinite constraint. Front Inform Technol Electron Eng, 17(11):1245-1252.