Title :
A non-iterative estimator for the concentration parameter of the relative phase distribution
Author :
Rakvongthai, Yothin ; Oraintara, Soontorn
Author_Institution :
Dept. of Electr. Eng., Univ. of Texas at Arlington, Arlington, TX, USA
Abstract :
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.
Keywords :
image processing; iterative methods; maximum likelihood estimation; statistical distributions; wavelet transforms; ML estimator; complex wavelet coefficient; computational saving; concentration parameter; image processing; iterative algorithm; log-likelihood equation; maximum likelihood estimation; noniterative estimator; numerical accuracy; parameter estimation; relative phase distribution; relative phase probability function; Computational modeling; Computer displays; Histograms; Maximum likelihood estimation; Nonlinear equations; Parameter estimation; Phase estimation; Testing; Wavelet coefficients; Yield estimation; Relative phase; maximum likelihood estimation; non-iterative approximation; the relative phase pdf;
Conference_Titel :
Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
Conference_Location :
Dallas, TX
Print_ISBN :
978-1-4244-4295-9
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2010.5495850