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Home / INTER-NOISE and NOISE-CON Congress and Conference Proceedings, InterNoise16, Hamburg GERMANY, pages 3858-4854

Derivation Technique for Headphone Transfer Functions Based on Sine Sweeps and Least Squares Minimization

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Authors: Rivera Benois, Piero; Zölzer, Udo

Source: INTER-NOISE and NOISE-CON Congress and Conference Proceedings, InterNoise16, Hamburg GERMANY, pages 3858-4854, pp. 4263-4272(10)

Publisher: Institute of Noise Control Engineering

System identification for ANC Headphones considers two transfer functions: one between the outer and inner microphones, called primary path; and one between the control speaker and the inner microphone, known as secondary path. The accuracy of their measurements can be directly translated into the maximal reachable attenuation and also into stability, in case of feedback approaches. Based on a sine sweep technique we computed two impulse responses from an external sound source to the outer and inner microphones attached to the headphone shell, denoted as $r$ and $q$, respectively. Based on both measurements the primary path's finite length impulse response $p$ is derived. For doing that we compared two derivation techniques, one based on the known frequency-domain approach and the other one on a Least Squares time-domain approach proposed by us. The Least Squares technique minimizes the squared error in the reconstruction of $q$ based on the convolution of $p$ and $r$. Comparisons between both techniques on a real system with different lengths for $p$ show an error reduction of at least 10\,dB and up to 24\,dB using the Least Squares approach.

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Document Type: Research Article

Publication date: 21 August 2016

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  • The Noise-Con conference proceedings are sponsored by INCE/USA and the Inter-Noise proceedings by I-INCE. NOVEM (Noise and Vibration Emerging Methods) conference proceedings are included. All NoiseCon Proceedings one year or older are free to download. InterNoise proceedings from outside the USA older than 10 years are free to download. Others are free to INCE/USA members and member societies of I-INCE.

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