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Distance-Dependent Modeling of Head-Related Transfer Functions Based on Spherical Fourier-Bessel Transform

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Man-Machine Speech Communication (NCMMSC 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 807))

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Abstract

Spherical harmonic (SH)-based methods have been proposed for modeling head-related transfer functions (HRTFs) and yielded an encouraging performance level in terms of log-spectral distortion (LSD). However, most of these techniques model HRTFs on a sphere, and rarely exploit the correlation relationship of HRTFs from different distances, and as a consequence HRTF extrapolation on unmeasured distances becomes a great challenge. Motivated by this, this paper proposes a distance-dependent SH-based model termed DSHM for HRTF representation. DSHM extends the SH-based model by adding a radial part of spherical Fourier-Bessel transform (SFBT). By utilizing a radial correlation between distances, the proposed model has capable of efficient representation for HRTFs over the whole space. As a result, it is feasible to interpolate or extrapolate an HRTF on an unmeasured position. The experimental results show that DSHM achieves a lower LSD when comparing with the conventional SH-based method.

This work is supported by the National Natural Science Foundation of China (NSFC) (No. 61603390), the National Key Research & Development Plan of China (No. 2017YFB1002804), the Major Program for the National Social Science Fund of China (13&ZD189), and the Strategic Priority Research Program of the CAS (Grant XDB02080006).

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Authors and Affiliations

  1. National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing, China

    Xiaoke Qi & Jianhua Tao

  2. School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China

    Jianhua Tao

  3. CAS Center for Excellence in Brain Science and Intelligence Technology, Beijing, China

    Jianhua Tao

Authors
  1. Xiaoke Qi
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  2. Jianhua Tao
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Correspondence to Xiaoke Qi .

Editor information

Editors and Affiliations

  1. Institute of Automation, Chinese Academy of Sciences, Beijing, China

    Jianhua Tao

  2. Computer Science and Technology, Tsinghua University, Beijing, China

    Thomas Fang Zheng

  3. Beijing University of Technology , Beijing, China

    Changchun Bao

  4. Tsinghua University , Beijing, China

    Dong Wang

  5. Institute of Automation, Chinese Academy of Sciences, Beijing, China

    Ya Li

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Qi, X., Tao, J. (2018). Distance-Dependent Modeling of Head-Related Transfer Functions Based on Spherical Fourier-Bessel Transform. In: Tao, J., Zheng, T., Bao, C., Wang, D., Li, Y. (eds) Man-Machine Speech Communication. NCMMSC 2017. Communications in Computer and Information Science, vol 807. Springer, Singapore. https://doi.org/10.1007/978-981-10-8111-8_13

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  • DOI: https://doi.org/10.1007/978-981-10-8111-8_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8110-1

  • Online ISBN: 978-981-10-8111-8

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