IEICE TRANSACTIONS on Fundamentals
Fast and Accurate Generalized Harmonic Analysis and Its Parallel Computation by GPU
Summary :
A fast and accurate method for Generalized Harmonic Analysis is proposed. The proposed method estimates the parameters of a sinusoid and subtracts it from a target signal one by one. The frequency of the sinusoid is estimated around a peak of Fourier spectrum using binary search. The binary search can control the trade-off between the frequency accuracy and the computation time. The amplitude and the phase are estimated to minimize the squared sum of the residue after extraction of estimated sinusoids from the target signal. Sinusoid parameters are recalculated to reduce errors introduced by the peak detection using windowed Discrete-Time Fourier Transform. Audio signals are analyzed by the proposed method, which confirms the accuracy compared to existing methods. The proposed algorithm has high degree of concurrency and is suitable to be implemented on Graphical Processing Unit (GPU). The computational throughput can be made higher than the input audio signal rate.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.3 pp.745-752
- Publication Date
- 2009/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E92.A.745
- Type of Manuscript
- Special Section PAPER (Special Section on Latest Advances in Fundamental Theories of Signal Processing)
- Category
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Hisayori NODA, Akinori NISHIHARA, "Fast and Accurate Generalized Harmonic Analysis and Its Parallel Computation by GPU" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 3, pp. 745-752, March 2009, doi: 10.1587/transfun.E92.A.745.
Abstract: A fast and accurate method for Generalized Harmonic Analysis is proposed. The proposed method estimates the parameters of a sinusoid and subtracts it from a target signal one by one. The frequency of the sinusoid is estimated around a peak of Fourier spectrum using binary search. The binary search can control the trade-off between the frequency accuracy and the computation time. The amplitude and the phase are estimated to minimize the squared sum of the residue after extraction of estimated sinusoids from the target signal. Sinusoid parameters are recalculated to reduce errors introduced by the peak detection using windowed Discrete-Time Fourier Transform. Audio signals are analyzed by the proposed method, which confirms the accuracy compared to existing methods. The proposed algorithm has high degree of concurrency and is suitable to be implemented on Graphical Processing Unit (GPU). The computational throughput can be made higher than the input audio signal rate.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.745/_p
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@ARTICLE{e92-a_3_745,
author={Hisayori NODA, Akinori NISHIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Fast and Accurate Generalized Harmonic Analysis and Its Parallel Computation by GPU},
year={2009},
volume={E92-A},
number={3},
pages={745-752},
abstract={A fast and accurate method for Generalized Harmonic Analysis is proposed. The proposed method estimates the parameters of a sinusoid and subtracts it from a target signal one by one. The frequency of the sinusoid is estimated around a peak of Fourier spectrum using binary search. The binary search can control the trade-off between the frequency accuracy and the computation time. The amplitude and the phase are estimated to minimize the squared sum of the residue after extraction of estimated sinusoids from the target signal. Sinusoid parameters are recalculated to reduce errors introduced by the peak detection using windowed Discrete-Time Fourier Transform. Audio signals are analyzed by the proposed method, which confirms the accuracy compared to existing methods. The proposed algorithm has high degree of concurrency and is suitable to be implemented on Graphical Processing Unit (GPU). The computational throughput can be made higher than the input audio signal rate.},
keywords={},
doi={10.1587/transfun.E92.A.745},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Fast and Accurate Generalized Harmonic Analysis and Its Parallel Computation by GPU
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 745
EP - 752
AU - Hisayori NODA
AU - Akinori NISHIHARA
PY - 2009
DO - 10.1587/transfun.E92.A.745
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2009
AB - A fast and accurate method for Generalized Harmonic Analysis is proposed. The proposed method estimates the parameters of a sinusoid and subtracts it from a target signal one by one. The frequency of the sinusoid is estimated around a peak of Fourier spectrum using binary search. The binary search can control the trade-off between the frequency accuracy and the computation time. The amplitude and the phase are estimated to minimize the squared sum of the residue after extraction of estimated sinusoids from the target signal. Sinusoid parameters are recalculated to reduce errors introduced by the peak detection using windowed Discrete-Time Fourier Transform. Audio signals are analyzed by the proposed method, which confirms the accuracy compared to existing methods. The proposed algorithm has high degree of concurrency and is suitable to be implemented on Graphical Processing Unit (GPU). The computational throughput can be made higher than the input audio signal rate.
ER -
English
