Realization of Sound Reproduction in a Specified Region Based on Transfer Function Interpolation

  • Jie Cao
  • Ming Wu
  • Jun Yang
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 99)


In this paper, a multichannel sound reproduction system based on transfer function interpolation is developed. The system creates a directional sound field by weighting signals fed to the loudspeaker units. To calculate the weighting coefficients, the acoustic transfer functions between the input signal of each loudspeaker and the signal in the target zone should be measured in advance. Three types of interpolation techniques are investigated to relieve the workload of measurements for obtaining the acoustic transfer functions at the target points. Based on the Discrete Fourier Transform (DFT) interpolation, a sound reproduction system using loudspeaker array is realized and more than 20 dB is guaranteed for the side lobe suppression at the frequencies above 800 Hz.


Multichannel sound reproduction loudspeaker array beam pattern transfer function interpolation 


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  1. 1.
    Choi, J.W., Kim, Y.H.: Generation of an Acoustically Bright Zone with an Illuminated Region Using Multiple Sources. J. Acoust. Soc. Am. 111, 1695–1700 (2002)CrossRefGoogle Scholar
  2. 2.
    Wen, Y., Yang, J., Gan, W.S.: Strategies for an Acoustical-Hotspot Generation. IEICE Trans. Fund. Electron. Comm. Comput. Sci. E88-A, 1739–1746 (2005)Google Scholar
  3. 3.
    Wen, Y., Gan, W.S., Yang, J.: Nonlinear Least-square Solution to Array Pattern Synthesis Using Arbitrary Linear Array. Signal Processing 85, 1869–1874 (2005)zbMATHCrossRefGoogle Scholar
  4. 4.
    Wen, Y., Gan, W.S., Yang, J.: Application of Radiation Mode in Desired Sound Field Generation Using Loudspeaker Array. In: IEEE International Symposium on Circuits and Systems, pp. 3139–3142 (2005)Google Scholar
  5. 5.
    Wen, Y., Yang, J., Gan, W.S.: Target-oriented Acoustic Radiation Generation Technique for Sound Field Control. IEICE Trans. Trans. Fund. Electron. Comm. Comput. Sci. E89-A, 3671–3677 (2006)Google Scholar
  6. 6.
    Lee, C.H., Chang, J.H., Park, J.Y., Kim, Y.H.: Personal Sound System Design for Mobile Phone, Monitor, and Television Set; Feasibility Study. J. Acoust. Soc. Am. 122, 3053 (2007)Google Scholar
  7. 7.
    Chang, J.H., Lee, C.H., Park, J.Y., Kim, Y.H.: A Realization of Sound Focused Personal Audio System Using Acoustic Contrast Control. J. Acoust. Soc. Am. 125, 2091–2097 (2009)CrossRefGoogle Scholar
  8. 8.
    Park, J.Y., Chang, J.H., Kim, Y.H.: Generation of Independent Bright Zones for a Two-Channel Private Audio System. J.A.E.S. 58, 382–393 (2010)Google Scholar
  9. 9.
    Capon, J.: High-resolution Frequency-wavenumber Spectrum Analysis. Proc. IEEE 57, 1408–1418 (1969)CrossRefGoogle Scholar
  10. 10.
    Dolph, C.L., Riblet, H.J.: Discussing on: A Current Distribution for Narrow Broadside Arrays which Optimizes the Relationship Beamwidth and Side-lobe Level. In: Proc. IRE, vol. 35, pp. 489–492 (1947)Google Scholar
  11. 11.
    Yan, S., Ma, Y.: Design of FIR Beamformer with Frequency Invariant Patterns via Joint Optimizing the Spatial and Frequency Responses. In: Proc. ICASSP 2005, vol. 4, pp. 789–792 (2005)Google Scholar
  12. 12.
    Yan, S., Sun, H., Svensson, U.P., Ma, X., Hovem, J.M.: Optimal Modal Beamforming for Spherical Microphone Arrays. IEEE Trans. Audio, speech, and language processing 19, 361–371 (2011)CrossRefGoogle Scholar
  13. 13.
    Hawkins, W.G.: FFT Interpolation for Arbitrary Factors: A Comparison to Cubic Spline Interpolation and Linear Interpolation. In: IEEE Nuclear Science Symposium and Medical Imaging Conference, vol. 3, pp. 1433–1437 (1994)Google Scholar
  14. 14.
    Bai, Y., Zhuang, H.: On the Comparison of Bilinear, Cubic Spline, and Fuzzy Interpolation Techniques for Robotic Position Measurements. IEEE Trans. Instruction and measurement 54, 2281–2288 (2005)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jie Cao
    • 1
  • Ming Wu
    • 1
  • Jun Yang
    • 1
  1. 1.Key Laboratory of Noise and Vibration Research, Institute of AcousticsChinese Academy of SciencesBeijingChina

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