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Mean square performance evaluation in frequency domain for an improved adaptive feedback cancellation in hearing aids

Title:

Mean square performance evaluation in frequency domain for an improved adaptive feedback cancellation in hearing aids

Kar, Asutosh, Anand, Ankita, Østergaard, Jan, Jensen, Søren Holdt and Swamy, M. N. S. ORCID: https://orcid.org/0000-0002-3989-5476 (2019) Mean square performance evaluation in frequency domain for an improved adaptive feedback cancellation in hearing aids. Signal Processing, 157 . pp. 45-61. ISSN 01651684

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Official URL: http://dx.doi.org/10.1016/j.sigpro.2018.11.003

Abstract

We consider an adaptive linear prediction based feedback canceller for hearing aids that exploits two (an external and a shaped) noise signals for a bias-less adaptive estimation. In particular, the bias in the estimate of the feedback path is reduced by synthesizing the high-frequency spectrum of the reinforced signal using a shaped noise signal. Moreover, a second shaped (probe) noise signal is used to reduce the closed-loop signal correlation between the acoustic input and the loudspeaker signal at low frequencies. A power-transfer-function analysis of the system is provided, from which the effect of the system parameters and adaptive algorithms [normalized least mean square (NLMS) and recursive least square (RLS)] on the rate of convergence, the steady-state behaviour and the stability of the feedback canceller is explicitly found. The derived expressions are verified through computer simulations. It is found that, as compared to feedback canceller without probe noise, the cost of achieving an unbiased estimate of the feedback path using the feedback canceller with probe noise is a higher steady-state misadjustment for the RLS algorithm, whereas a slower convergence and a higher tracking error for the NLMS algorithm.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Article
Refereed:Yes
Authors:Kar, Asutosh and Anand, Ankita and Østergaard, Jan and Jensen, Søren Holdt and Swamy, M. N. S.
Journal or Publication:Signal Processing
Date:8 April 2019
Funders:
  • European Union’s Seventh Framework Programme (FP7/2007-2013) under the Grant agreement number ITN-GA-2012-316969.
Digital Object Identifier (DOI):10.1016/j.sigpro.2018.11.003
Keywords:Adaptive filters; Feedback cancellation; Probe noise; Hearing-aid; Band-limited LPC vocoder; Convergence rate; Power transfer function
ID Code:985241
Deposited By: MONIQUE LANE
Deposited On:08 Apr 2019 18:25
Last Modified:08 Apr 2019 18:25
Additional Information:The authors would like to thank Prof. Toon van Waterschoot (KU Leuven, Belgium) for his valuable suggestions throughout this work.

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