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（英文）
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摘要
提出一种鲁棒的广义旁瓣消除器抵抗到达方向失配的影响。为估计干扰加噪声的统计特性,传统信号提取方法常需收集大量仅存在干扰噪声的信号片段。为避免该收集过程,我们使用特征分析方法重新设计阻塞矩阵结构,从接收样本中重建干扰噪声的协方差矩阵。另外,基于秩-1矩阵假设,改进特征分析重建方法,以实现更高重建精度。将该重建方法与最大信干噪声比波束形成器结合,获得阻塞矩阵,最大限度减少信号泄漏的影响,并最大化干扰噪声功率,以进一步在最终输出中抑制噪声和干扰成分。数值结果表明,在存在到达方向失配和快照数有限的情况下,上述两种方法在输出波形信干噪比和与期望信号的相关系数方面有显著改进。与所提第一种方法相比,改进后的方法可进一步减少信号失真。
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-interferenceplus-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.
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-interferenceplus-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.
引文
Buckley K,1987.Spatial/spectral filtering with linearly constrained minimum variance beamformers.IEEE Trans Acoust Speech Signal Process,35(3):249-266.https://doi.org/10.1109/TASSP.1987.1165142
Capon J,1969.High-resolution frequency-wavenumber spectrum analysis.Proc IEEE,57(8):1408-1418.https://doi.org/10.1109/PROC.1969.7278
Chen FF,Shen F,Song JY,2015.Robust adaptive beamforming using low-complexity correlation coefficient calculation algorithms.Electron Lett,51(6):443-445.https://doi.org/10.1049/el.2015.0263
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.https://doi.org/10.1155/2016/2438183
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.https://doi.org/10.1109/TASL.2010.2090519
Crochiere R,1980.A weighted overlap-add method of short-time Fourier analysis/synthesis.IEEE Trans Acoust Speech Signal Process,28(1):99-102.https://doi.org/10.1109/TASSP.1980.1163353
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.https://doi.org/10.1016/j.specom.2007.02.001
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.https://doi.org/10.1109/TAES.2010.5417174
Feldman DD,1996.An analysis of the projection method for robust adaptive beamforming.IEEE Trans Antenn Propag,44(7):1023-1030.https://doi.org/10.1109/8.504311
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.https://doi.org/10.1109/78.934132
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.https://doi.org/10.1155/2017/9764283
Griffiths L,Jim C,1982.An alternative approach to linearly constrained adaptive beamforming.IEEE Trans Antenn Propag,30(1):27-34.https://doi.org/10.1109/TAP.1982.1142739
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.https://doi.org/10.1109/TSP.2012.2194289
Gu YJ,Goodman NA.,Hong SH,et al.,2014.Robust adaptive beamforming based on interference covariance matrix sparse reconstruction.Signal Process,96:375-381.https://doi.org/10.1016/j.sigpro.2013.10.009
Habets EAP,Benesty J,2013.Multi-microphone noise reduction based on orthogonal noise signal decompositions.IEEETrans Audio Speech Lang Process,21(6):1123-1133.https://doi.org/10.1109/TASL.2013.2244086
Haykin S,2010.Adaptive Filter Theory(4th Ed.).Publishing House of Electronics Industry,Beijing,China(in Chinese).
Herbordt W,Kellermann W,2002.Analysis of blocking matrices for generalized sidelobe cancellers for nonstationary broadband signals.Proc IEEE Int Conf on Acoustic Speech Signal Processing,p.IV-4187.https://doi.org/10.1109/ICASSP.2002.5745662
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.https://doi.org/10.1109/78.790650
Huang F,Sheng W,Ma XF,2012.Modified projection approach for robust adaptive array beamforming.Signal Process,92(7):1758-1763.https://doi.org/10.1016/j.sigpro.2012.01.015
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.https://doi.org/10.1109/TSP.2015.2396002
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.https://doi.org/10.1016/j.sigpro.2013.03.015
Li J,Stoica P,2005.Robust Adaptive Beamforming.John Wiley&Sons,New York,USA.
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.https://doi.org/10.1155/2016/3743509
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.https://doi.org/10.1186/s13634-016-0440-1
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.https://doi.org/10.1109/JOE.2014.2359378
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.https://doi.org/10.1109/LCOMM.2015.2455503
Souden M,Benesty J,Affes S,2010.On optimal frequencydomain multichannel linear filtering for noise reduction.IEEE Trans Audio Speech Lang Process,18(2):260-276.https://doi.org/10.1109/tasl.2009.2025790
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.https://doi.org/10.1016/J.SIGPRO.2004.07.028
Talmon R,Cohen I,Gannot S,2009.Convolutive transfer function generalized sidelobe canceler.IEEE Trans Audio Speech Lang Process,17(7):1420-1434.https://doi.org/10.1109/TASL.2009.2020891
van Trees HL,2002.Optimum array processing.In:Detection,Estimation,and Modulation Theory,Part IV.Wiley&Sons,New York,NY,USA.
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.https://doi.org/10.1109/TASLP.2015.2438542
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.https://doi.org/10.1049/el.2015.4420
Warsitz E,Haeb-Umbach R,2007.Blind acoustic beamforming based on generalized eigenvalue decomposition.IEEE Trans Audio Speech Lang Process,15(5):1529-1539.https://doi.org/10.1109/TASL.2007.898454
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.https://doi.org/10.1109/ICASSP.2008.4517549
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.https://doi.org/10.1631/jzus.C1400085
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.https://doi.org/10.1049/el.2015.3716
Yuan XL,Gan L,2017.Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction.Signal Process,130:233-242.https://doi.org/10.1016/j.sigpro.2016.07.008
Zhang ST,Thng ILJ,2002.Robust presteering derivative constraints for broadband antenna arrays.IEEE Trans Signal Process,50(1):1-10.https://doi.org/10.1109/78.972477
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.https://doi.org/10.1109/ICSPCC.2016.7753672
Zhang ZY,Liu W,Leng W,et al.,2016.Interference-plus-noise covariance matrix reconstruction via spatial power spectrum sampling for robust adaptive beamforming.IEEESignal Process Lett,23(1):121-125.https://doi.org/10.1109/LSP.2015.2504954
Zhao Y,Liu W,Langley RJ,2011.Adaptive wideband beamforming with frequency invariance constraints.IEEETrans Antenn Propag,59(4):1175-1184.https://doi.org/10.1109/TAP.2011.2110630
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.https://doi.org/10.1631/FITEE.1601112
Capon J,1969.High-resolution frequency-wavenumber spectrum analysis.Proc IEEE,57(8):1408-1418.https://doi.org/10.1109/PROC.1969.7278
Chen FF,Shen F,Song JY,2015.Robust adaptive beamforming using low-complexity correlation coefficient calculation algorithms.Electron Lett,51(6):443-445.https://doi.org/10.1049/el.2015.0263
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.https://doi.org/10.1155/2016/2438183
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.https://doi.org/10.1109/TASL.2010.2090519
Crochiere R,1980.A weighted overlap-add method of short-time Fourier analysis/synthesis.IEEE Trans Acoust Speech Signal Process,28(1):99-102.https://doi.org/10.1109/TASSP.1980.1163353
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.https://doi.org/10.1016/j.specom.2007.02.001
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.https://doi.org/10.1109/TAES.2010.5417174
Feldman DD,1996.An analysis of the projection method for robust adaptive beamforming.IEEE Trans Antenn Propag,44(7):1023-1030.https://doi.org/10.1109/8.504311
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.https://doi.org/10.1109/78.934132
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.https://doi.org/10.1155/2017/9764283
Griffiths L,Jim C,1982.An alternative approach to linearly constrained adaptive beamforming.IEEE Trans Antenn Propag,30(1):27-34.https://doi.org/10.1109/TAP.1982.1142739
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.https://doi.org/10.1109/TSP.2012.2194289
Gu YJ,Goodman NA.,Hong SH,et al.,2014.Robust adaptive beamforming based on interference covariance matrix sparse reconstruction.Signal Process,96:375-381.https://doi.org/10.1016/j.sigpro.2013.10.009
Habets EAP,Benesty J,2013.Multi-microphone noise reduction based on orthogonal noise signal decompositions.IEEETrans Audio Speech Lang Process,21(6):1123-1133.https://doi.org/10.1109/TASL.2013.2244086
Haykin S,2010.Adaptive Filter Theory(4th Ed.).Publishing House of Electronics Industry,Beijing,China(in Chinese).
Herbordt W,Kellermann W,2002.Analysis of blocking matrices for generalized sidelobe cancellers for nonstationary broadband signals.Proc IEEE Int Conf on Acoustic Speech Signal Processing,p.IV-4187.https://doi.org/10.1109/ICASSP.2002.5745662
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.https://doi.org/10.1109/78.790650
Huang F,Sheng W,Ma XF,2012.Modified projection approach for robust adaptive array beamforming.Signal Process,92(7):1758-1763.https://doi.org/10.1016/j.sigpro.2012.01.015
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.https://doi.org/10.1109/TSP.2015.2396002
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.https://doi.org/10.1016/j.sigpro.2013.03.015
Li J,Stoica P,2005.Robust Adaptive Beamforming.John Wiley&Sons,New York,USA.
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.https://doi.org/10.1155/2016/3743509
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.https://doi.org/10.1186/s13634-016-0440-1
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.https://doi.org/10.1109/JOE.2014.2359378
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.https://doi.org/10.1109/LCOMM.2015.2455503
Souden M,Benesty J,Affes S,2010.On optimal frequencydomain multichannel linear filtering for noise reduction.IEEE Trans Audio Speech Lang Process,18(2):260-276.https://doi.org/10.1109/tasl.2009.2025790
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.https://doi.org/10.1016/J.SIGPRO.2004.07.028
Talmon R,Cohen I,Gannot S,2009.Convolutive transfer function generalized sidelobe canceler.IEEE Trans Audio Speech Lang Process,17(7):1420-1434.https://doi.org/10.1109/TASL.2009.2020891
van Trees HL,2002.Optimum array processing.In:Detection,Estimation,and Modulation Theory,Part IV.Wiley&Sons,New York,NY,USA.
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.https://doi.org/10.1109/TASLP.2015.2438542
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.https://doi.org/10.1049/el.2015.4420
Warsitz E,Haeb-Umbach R,2007.Blind acoustic beamforming based on generalized eigenvalue decomposition.IEEE Trans Audio Speech Lang Process,15(5):1529-1539.https://doi.org/10.1109/TASL.2007.898454
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.https://doi.org/10.1109/ICASSP.2008.4517549
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.https://doi.org/10.1631/jzus.C1400085
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.https://doi.org/10.1049/el.2015.3716
Yuan XL,Gan L,2017.Robust adaptive beamforming via a novel subspace method for interference covariance matrix reconstruction.Signal Process,130:233-242.https://doi.org/10.1016/j.sigpro.2016.07.008
Zhang ST,Thng ILJ,2002.Robust presteering derivative constraints for broadband antenna arrays.IEEE Trans Signal Process,50(1):1-10.https://doi.org/10.1109/78.972477
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.https://doi.org/10.1109/ICSPCC.2016.7753672
Zhang ZY,Liu W,Leng W,et al.,2016.Interference-plus-noise covariance matrix reconstruction via spatial power spectrum sampling for robust adaptive beamforming.IEEESignal Process Lett,23(1):121-125.https://doi.org/10.1109/LSP.2015.2504954
Zhao Y,Liu W,Langley RJ,2011.Adaptive wideband beamforming with frequency invariance constraints.IEEETrans Antenn Propag,59(4):1175-1184.https://doi.org/10.1109/TAP.2011.2110630
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.https://doi.org/10.1631/FITEE.1601112