Theoretical Calculation of Function W_b as Articulation Index in the Case of Binaural Hearing

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  • Yoshida Tomio
    Research Institute of Electrical Communication, Tohoku University
  • Iwasaki Shun-ichi
    Research Institute of Electrical Communication, Tohoku University
  • Nagai Kenzo
    Research Institute of Electrical Communication, Tohoku University

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Other Title
  • 両耳明瞭度指数W_b関数の理論的誘導
  • リョウミミ メイリョウド シスウ Wb カンスウ ノ リロンテキ ユウドウ

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Abstract

Assuming A_b is expressed in term of a new function W_b, the articulation index A_b in the case of binaural hearing must be able to be calculated as in the case of monoaural hearing, as follows; A_b=1/p⎰^∞_0W_b{E(α, f)}D(f)df (1) where W_b stands for the component of articulation index of binaural hearing as W_m in the case of monoaural hearing. With the loudness parameter G described in preceding report(1), the function W_b can be estimated; Assuming that the frequency response of transmission system is flat, A_b is estimated by means of the method of loudness parameter; A_b(f)=G{2N_m(f)} (2) and on the other hand, the mean effective sensational level E(α) of this system is estimated by; E∸(α)=⎰^∞_0E(α, f)D(f)df. (3) Plotting the A_b of equation (2) with E∸, W_b is expressed in similar manner as W_m. And this theoretical result proves that it does not contradict the result of experiment.

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