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On Time–Frequency Domain Flexible Structure of Delayless Partitioned Block Adaptive Filtering Approach for Active Noise Control

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Abstract

Frequency domain filtered-x least mean square algorithms can reduce the computational complexity of the time domain counterpart with long filters; however, they suffer from large block delay, additional quantization error due to large size transformations and implementation difficulties in existing DSP hardware. In this paper, a time–frequency domain flexible structure is proposed using the partitioned block frequency domain adaptive filtering technique, which has no signal path delay and is well suited for low-cost DSP implementation. The proposed structure divides the long filters into many equal partitions and carries out the control filter update in frequency domain while generating the control signal in both time and frequency domains, thereby eliminating the forward path delay completely while maintaining low computational complexity. The proposed structure has a potential benefit for controlling broadband noise, where the causality constraint is more important. The simulation results using the measured acoustic paths demonstrate that the proposed structure maintains similar control performance as that of the time domain algorithm but with much less computational complexity. Furthermore, the tracking performance of the proposed structure under different levels of measurement noise is investigated.

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Data Availability

Data sharing was not applicable to this article as no datasets were generated or analysed during the current study, and detailed simulation results are given in the manuscript.

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Acknowledgements

This research was supported under the Australian Research Council’s Linkage Project funding scheme (No. LP160100616).

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Authors and Affiliations

  1. Centre for Audio, Acoustics and Vibration, University of Technology Sydney, Sydney, NSW, 2007, Australia

    Somanath Pradhan, Xiaojun Qiu & Jinchen Ji

  2. Department of Electrical Engineering, Indian Institute of Technology Patna, Patna, Bihar, 801106, India

    Somanath Pradhan

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  1. Somanath Pradhan
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  2. Xiaojun Qiu
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Correspondence to Somanath Pradhan.

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Pradhan, S., Qiu, X. & Ji, J. On Time–Frequency Domain Flexible Structure of Delayless Partitioned Block Adaptive Filtering Approach for Active Noise Control. Circuits Syst Signal Process 42, 7580–7595 (2023). https://doi.org/10.1007/s00034-023-02463-7

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