Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model

Hamilton B, Depalle P. Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model. In: AES Conference: 45th International Conference: Applications of Time-Frequency Processing in Audio. Audio Engineering Society; 2012. Paper 6-3. Available from: https://aes.org/publications/elibrary-page/?id=16180

@inproceedings{Hamilton2012_16180,
  author = {Hamilton, Brian and Depalle, Philippe},
  title = {{Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model}},
  booktitle = {AES Conference: 45th International Conference: Applications of Time-Frequency Processing in Audio},
  note = {Paper 6-3},
  year = {2012},
  month = mar,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=16180}
}

TY  - CPAPER
TI  - Comparisons of Parameter Estimation Methods for an Exponential Polynomial Sound Signal Model
AU  - Hamilton, Brian
AU  - Depalle, Philippe
T2  - AES Conference: 45th International Conference: Applications of Time-Frequency Processing in Audio
M1  - Paper 6-3
PY  - 2012
DA  - 2012/03/06
UR  - https://aes.org/publications/elibrary-page/?id=16180
PB  - Audio Engineering Society
LA  - en
AB  - 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.
ER  -