Analytical Representation of the Complex Frequency Response of a Hydrophone

被引:1
作者
Isaev, A. E. [1 ]
Khatamtaev, B., I [1 ]
机构
[1] Russian Metrol Inst Tech Phys & Radio Engn VNIIFT, Mendeleyevsk, Moscow Region, Russia
关键词
phase calibration of a hydrophone; minimum-phase frequency response; complex fractional-rational approximation; ALGORITHM;
D O I
10.1007/s11018-021-01981-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The problem of analytical representation of the experimental complex frequency response of a hydrophone based on a model consisting of a lead line and a minimum-phase component is considered. The model takes into account the resonant properties of the hydrophone and the effect of sound diffraction on the active element. Algorithms for approximation of the complex frequency response by a fractional-rational function of a complex variable based on the data of the amplitude-frequency and (or) phase-frequency characteristics of the hydrophone are proposed. Examples of application of algorithms for processing experimental frequency characteristics of measuring hydrophones are given. The results obtained will simplify the calibration and greatly reduce the dimension of calibration data while maintaining the accuracy characteristic of working measuring hydrophones.
引用
收藏
页码:622 / 627
页数:6
相关论文
共 10 条
[1]  
Beattie C., 2017, Comput. Sci. Engrg., P297, DOI [DOI 10.1137/1.9781611974829.CH7, 10.1137/1.9781611974829.ch7]
[2]   THE RKFIT ALGORITHM FOR NONLINEAR RATIONAL APPROXIMATION [J].
Berljafa, Mario ;
Guettel, Stefan .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 39 (05) :A2049-A2071
[3]  
Bessonov L. A, 2014, THEORETICAL FDN ELEC
[4]  
DAS S, 2012, SPRINGERBR APPL SCI, P1
[5]   VECTOR FITTING FOR MATRIX-VALUED RATIONAL APPROXIMATION [J].
Drmac, Z. ;
Gugercin, S. ;
Beattie, C. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (05) :A2346-A2379
[6]   QUADRATURE-BASED VECTOR FITTING FOR DISCRETIZED H2 APPROXIMATION [J].
Drmac, Z. ;
Gugercin, S. ;
Beattie, C. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 37 (02) :A625-A652
[7]   Improving the pole relocating properties of vector fitting [J].
Gustavsen, Bjorn .
IEEE TRANSACTIONS ON POWER DELIVERY, 2006, 21 (03) :1587-1592
[8]  
ISAEV AE, IZMER TEKHN, P48
[9]   AN ALGORITHM FOR REAL AND COMPLEX RATIONAL MINIMAX APPROXIMATION [J].
Nakatsukasa, Yuji ;
Trefethen, Lloyd N. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (05) :A3157-A3179
[10]   Identifying a Transfer Function From a Frequency Response [J].
Valerio, Duarte ;
Ortigueira, Manuel Duarte ;
da Costa, Jose Sa .
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2008, 3 (02)