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In this paper, we present comparisons of non-stationary sinusoidal parameter estimation methods for an exponential polynomial signal model. We compare the estimations of the Distribution Derivative Method (DDM), the Generalized Derivative Method (GDM), the Generalized Reassignment Method (GRM), and the Quadratically Interpolated Fast Fourier Transform (QIFFT) method with the Cram´er-Rao bounds. We test these methods on three exponential polynomial signal models: first-order amplitude modulation (AM) with first-order frequency modulation (FM), second-order AM with first-order FM, and third-order AM with second-order FM. Practical implementation issues and sources of discrete bias are discussed.
Author (s): Hamilton, Brian;
Depalle, Philippe;
Affiliation:
Electrical & computer Engineering, Schulich School of Music, Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montreal, Quebec, Canada
(See document for exact affiliation information.)
Publication Date:
2012-03-06
Session subject:
Processing of Audio
DOI:
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Hamilton, Brian; Depalle, Philippe; 2012; Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model [PDF]; Electrical & computer Engineering, Schulich School of Music, Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montreal, Quebec, Canada; Paper 6-3; Available from: https://aes.org/publications/elibrary-page/?id=16180
Hamilton, Brian; Depalle, Philippe; Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model [PDF]; Electrical & computer Engineering, Schulich School of Music, Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montreal, Quebec, Canada; Paper 6-3; 2012 Available: https://aes.org/publications/elibrary-page/?id=16180
@inproceedings{Hamilton2012comparisons,
title={{Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model}},
author={Hamilton, Brian and Depalle, Philippe},
year={2012},
month={mar},
booktitle={Journal of the Audio Engineering Society},
publisher={Paper 6-3; AES Conference: 45th International Conference: Applications of Time-Frequency Processing in Audio; March 2012},
number={6-3},
organization={AES},
}
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