The Discrete Error Analysis of GREEN’s Function Sampled in Real Space


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During the near-field acoustic holographic reconstruction, there will be error which make the reconstruction uncertain in sampling GREEN’s function in real space. The magnitude of discrete error lies on the size of sampling interval and the change rate of GREEN’s function. The longer interval, the greater error. The faster change rate, the greater error. Because the GREEN’s function is sensitive to the reconstruction distance and the reconstruction frequency and change with direct ratio and inverse ratio, the discrete error is with direct ratio to the reconstruction frequency and with inverse ratio the reconstruction distance.



Advanced Materials Research (Volumes 393-395)

Edited by:

Ran Chen and Wen-Pei Sung




T. Bo and X. Yu, "The Discrete Error Analysis of GREEN’s Function Sampled in Real Space", Advanced Materials Research, Vols. 393-395, pp. 424-427, 2012

Online since:

November 2011





[1] Veronesi W A, Maynard J D, Near-field acoustic holography (NAH) Ⅱ. Holographic reconstruction algorithms and computer implemention,J. Acoust. Soc. Am, Vol. 81, NO. 5, pp.1307-1322, (1987).

[2] X. Weifei, Research on Mechanical Noise Sources Identification and Feature Extraction, Shanghai:Shanghai Jiao Tong University,(2007).

[3] Z. Xu, The Application of Planar Near-field Acoustical Holographic in Noise Source Identification, Harbin:Harbin Engineering University,(2008).

[4] X. Yu, Reseach on Selection of Parameters and Reconstruction Error in the NAH based on STSF, Hefei:Hefei University of Technology, (2009).

[5] C. Xiaodong, Reseach on the measurement and reconstruction error in the NAH, Hefei:Hefei University of Technology, (2004).

[6] Maynard J D , Williams E G, Lee Y, Near-field acoustic holography Ⅰ: theory of generalized holography and the development of NAH, J. Acoust. Sco. Am. (1985).