频域和时域最小二乘法在声场重建中性能比较
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摘要
最小二乘法在声场重建中应用广泛,主要分为频域和时域两种实现形式。频域最小二乘法是对各频点上的声场重建误差进行最小化控制,通常需要在各频点进行独立的正则化处理,导致重建滤波器的非因果性,在实际应用中需要引入时延因子。时域最小二乘法是对控制点上的时域重建误差进行最小化控制,对重建滤波器系数进行整体求解,不存在非因果问题。本文利用两种算法仿真了自由场假设下的单目标区域和多目标区域的声场重建问题,仿真结果表明,在滤波器阶数相同的情况下,两种算法在单目标区域声场重建问题中表现相近,在多目标区域的声场重建问题中,时域算法明显优于频域算法。
The Least-Squares( LS) method has been widely used in sound field reconstruction. It can be mainly divided into two chasses,the LS method in frequency domain and the LS method in time domain. The LS method in frequency domian aims to minimize the sound field reconstruction error at each frequency,and needs to carry out independent regularization at each frequency,which results in non-causality of reconstruction filter. So,a delay factor is needed in practical implemnt.The LS method in time domain is to minimize the time domain reconstruction error on control points and directly calculate the reconstruction filter coefficients with no non-causal problem. In this paper,two algorithms are used in single zone sound field reproduction and multi-zone sound field reproduction under the assumption of free field. The simulation results show that two alrorithms behave much the same in single zone sound field reproduction problem with the same construction filter order. The LS method in time domian is superior to the other algorithm in the problem of multizone sund field reproduction.
The Least-Squares( LS) method has been widely used in sound field reconstruction. It can be mainly divided into two chasses,the LS method in frequency domain and the LS method in time domain. The LS method in frequency domian aims to minimize the sound field reconstruction error at each frequency,and needs to carry out independent regularization at each frequency,which results in non-causality of reconstruction filter. So,a delay factor is needed in practical implemnt.The LS method in time domain is to minimize the time domain reconstruction error on control points and directly calculate the reconstruction filter coefficients with no non-causal problem. In this paper,two algorithms are used in single zone sound field reproduction and multi-zone sound field reproduction under the assumption of free field. The simulation results show that two alrorithms behave much the same in single zone sound field reproduction problem with the same construction filter order. The LS method in time domian is superior to the other algorithm in the problem of multizone sund field reproduction.
引文
[1]SPORS S,RABENSTEIN R,AHRENS J.The Theory of wave field synthesis revisited[C]//Proc.AES 124th Convention.[S.l.]:AES,2008:358-365.
[2]WU Y,ABHAYAPALA T.Theory and design of soundfield reproduction using continuous loudspeaker concept[J].IEEE Transactions on Audio,Speech,and Language Processing,2009,17(1):107-116.
[3]KIRKEBY O,NELSON P.Reproduction of plane wave fields[J].Journal of the Acoustical Society of America,1993,94(5):2992-3000.
[4]CAI Y,WU M,YANG J.Sound reproduction in personal audio systems using the least-squares approach with acoustical contrast control constraint[J].Journal of the Acoustical Society of America,2014,135(2):734-741.
[5]BETLEHEM T,WITHERS C.Sound field reproduction with energy constraint on loudspeaker weights[J].IEEE Transactions on Audio,Speech,and Language Processing,2012,20(8):2388-2392.
[2]WU Y,ABHAYAPALA T.Theory and design of soundfield reproduction using continuous loudspeaker concept[J].IEEE Transactions on Audio,Speech,and Language Processing,2009,17(1):107-116.
[3]KIRKEBY O,NELSON P.Reproduction of plane wave fields[J].Journal of the Acoustical Society of America,1993,94(5):2992-3000.
[4]CAI Y,WU M,YANG J.Sound reproduction in personal audio systems using the least-squares approach with acoustical contrast control constraint[J].Journal of the Acoustical Society of America,2014,135(2):734-741.
[5]BETLEHEM T,WITHERS C.Sound field reproduction with energy constraint on loudspeaker weights[J].IEEE Transactions on Audio,Speech,and Language Processing,2012,20(8):2388-2392.