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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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Bark frequency transform using an arbitrary order allpass filter.

Prasanta Kumar Ghosh1, Shrikanth S Narayanan1

  • 1Signal Analysis and Interpretation Laboratory, Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, Ph: (213) 821-2433.

IEEE Signal Processing Letters
|January 18, 2014
PubMed
Summary
This summary is machine-generated.

We developed a stable allpass filter for converting Hertz to Bark scale. Higher-order filters significantly improve accuracy and reduce root-mean-square error compared to first-order designs.

Keywords:
Bark scaleallpass filter

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Area of Science:

  • Digital Signal Processing
  • Auditory Perception Modeling

Background:

  • Accurate frequency scale transformation is crucial for audio processing and auditory modeling.
  • Existing methods may have limitations in precision or computational efficiency.

Purpose of the Study:

  • To propose a novel, arbitrary-order stable allpass filter structure.
  • To enable accurate frequency transformation from Hertz to Bark scale.

Main Methods:

  • Design of a stable allpass filter structure applicable to arbitrary orders.
  • Analysis of filter causality at different orders (first-order causal, higher-order non-causal).
  • Evaluation of transformation accuracy and root-mean-square error (RMSE) across filter orders.

Main Results:

  • The proposed filter structure allows for stable, arbitrary-order implementation.
  • Second and higher-order filters demonstrate significantly improved transformation accuracy over first-order filters.
  • Increasing the filter order monotonically decreases the RMSE of the Hertz to Bark scale transformation.

Conclusions:

  • Arbitrary-order stable allpass filters offer superior accuracy for Hertz to Bark scale transformation.
  • Higher-order filter designs are recommended for enhanced precision in auditory modeling and signal processing applications.