TY - GEN
T1 - A non-iterative estimator for the concentration parameter of the relative phase distribution
AU - Rakvongthai, Yothin
AU - Oraintara, Soontorn
PY - 2010
Y1 - 2010
N2 - In this paper, we propose an approximation of the relative phase probability function (RP pdf) and use it to find a non-iterative estimator for the concentration parameter of the pdf. In particular, we approximate the log-likelihood equation which is highly nonlinear by another equation where we can use the proposed pdf's approximation to solve for the estimator. To illustrate the effectiveness of the proposed estimator, the comparisons between the proposed method and the maximum likelihood (ML) estimation method are displayed in terms of both numerical accuracy and computational saving in the estimation. The results show that the proposed method yields a good and comparable estimator with the ML estimator but with less computational time in estimating the parameters from the simulated samples, and also works well in histogram fitting of the relative phase samples of complex wavelet coefficients extracted from several standard test images.
AB - In this paper, we propose an approximation of the relative phase probability function (RP pdf) and use it to find a non-iterative estimator for the concentration parameter of the pdf. In particular, we approximate the log-likelihood equation which is highly nonlinear by another equation where we can use the proposed pdf's approximation to solve for the estimator. To illustrate the effectiveness of the proposed estimator, the comparisons between the proposed method and the maximum likelihood (ML) estimation method are displayed in terms of both numerical accuracy and computational saving in the estimation. The results show that the proposed method yields a good and comparable estimator with the ML estimator but with less computational time in estimating the parameters from the simulated samples, and also works well in histogram fitting of the relative phase samples of complex wavelet coefficients extracted from several standard test images.
KW - Maximum likelihood estimation
KW - Non-iterative approximation
KW - Relative phase
KW - The relative phase pdf
UR - https://www.scopus.com/pages/publications/78049398575
U2 - 10.1109/ICASSP.2010.5495850
DO - 10.1109/ICASSP.2010.5495850
M3 - Conference contribution
AN - SCOPUS:78049398575
SN - 9781424442966
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3790
EP - 3793
BT - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Y2 - 14 March 2010 through 19 March 2010
ER -