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Objectively measured and subjectively perceived distortion in nonlinear systems a

a A poster with the same title was presented at IHCON, Lake Tahoe, 2002.

J. Acoust. Soc. Am. Volume 120, Issue 6, pp. 3759-3769 (2006); (11 pages)

Åke Olofsson1 and Martin Hansen2

1Technical and Experimental Audiology, Karolinska Institutet, Blå vägen, Hus 15, SE-18230 Danderyd, Sweden
2Widex Audiology Research Lab, Ny Vestergårdsvej 25, DK-3500 Værløse, Denmark

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A method for measuring nonlinear distortion, which is applicable to almost any transmission system and which can use any input signal as a test signal, is proposed. The method exploits the fact that a pair of signals, generated to form the real and imaginary parts of the analytical signal corresponding to the input signal to a system, lose their property of being a Hilbert pair after being passed through a nonlinear system. The method was tested by measuring 12 different hearing aid compression systems. These objective measurements were compared with the subjectively perceived amount of distortion, assessed by a group of 10 otologically normal subjects. A reasonably monotonic relation between the subjective and objective measures of distortion was observed. The objective Hilbert pair based measure can be related to both traditional total harmonic distortion and traditional signal to noise ratio.

© 2006 Acoustical Society of America

ACKNOWLEDGMENTS

The authors wish to express their gratitude to Helena Norell, who did the subjective measurements, and to Björn Hagerman, Søren Westerman, and Carl Ludvigsen for valuable discussions and comments.

Article Outline

  1. INTRODUCTION
  2. PROPOSED MEASURE OF NONLINEAR DISTORTION
    1. The Hilbert transform
    2. The product theorem for Hilbert transforms
    3. Use of Hilbert pair signals for measuring linear and nonlinear systems
  3. LISTENING TEST
    1. Systems
    2. Program material
    3. Equipment and method
    4. Subjects
  4. RESULTS
    1. Subjective test
    2. Objective measurements
    3. Relation between subjective and objective measurements
  5. DISCUSSION
  6. CONCLUSIONS

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KEYWORDS and PACS

PACS

  • 43.58.Ry

    Distortion: frequency, nonlinear, phase, and transient; measurement of distortion

  • 43.66.Lj

    Perceptual effects of sound

ARTICLE DATA

History
Received 23 Dec 2005
Accepted 01 Oct 2006
Revised 25 Sep 2006

PUBLICATION DATA

ISSN

0001-4966 (print)  

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