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Spatial Principal Component Analysis of Head-Related Transfer Functions and Its Domain Dependency

In: Advances in Principal Component Analysis

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  • Shouichi Takane

Abstract

In this chapter, the Principal Component Analysis (PCA) was adopted to spatial variation of Head-Related Transfer Function (HRTF) or its corresponding inverse Fourier Transform, called Head-Related Impulse Response (HRIR), in order to compactly represent their spatial variation. This is called the Spatial PCA (SPCA). The SPCA was carried out for a database of HRTFs in all directions by selecting the domain as one of the HRIRs, the complex HRTFs, the frequency amplitudes of HRTFs, log-amplitudes of HRTFs, and complex logarithm of HRTFs. The minimum phase approximation was incorporated for the frequency amplitudes and log-amplitudes of HRTFs. Comparison of the accuracies in both time and frequency domains taking into account their influence on subjective evaluation showed that the log-amplitudes and complex logarithm of HRTFs are suitable for the SPCA of HRTFs.

Suggested Citation

  • Shouichi Takane, 2022. "Spatial Principal Component Analysis of Head-Related Transfer Functions and Its Domain Dependency," Chapters, in: Fausto Pedro Garcia Marquez (ed.), Advances in Principal Component Analysis, IntechOpen.
    • Handle: RePEc:ito:pchaps:258258
    DOI: 10.5772/intechopen.104449
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    File URL: https://www.intechopen.com/chapters/81460
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    More about this item

    Keywords

    spatial principal component analysis; head-related transfer function; head-related impulse response; domain; compact representation;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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