scholarly journals New Results on Perceptual Distortion Minimization and Nonlinear Least-Squares Frequency Estimation

2011 ◽  
Vol 19 (7) ◽  
pp. 2239-2244 ◽  
Author(s):  
Mads Græsbøll Christensen ◽  
Søren Holdt Jensen
Keyword(s):  
Least Squares ◽  
Frequency Estimation ◽  
Nonlinear Least Squares ◽  
Perceptual Distortion ◽  
Distortion Minimization

AN S-PLUS IMPLEMENTATION OF CONTRACTION MAPPING FOR FREQUENCY ESTIMATION

2003 ◽  
Vol 03 (01) ◽  
pp. L97-L106
Author(s):  
KONSTANTINOS FOKIANOS ◽  
BENJAMIN KEDEM
Keyword(s):  
Time Series ◽  
Regression Model ◽  
Least Squares ◽  
Contraction Mapping ◽  
Frequency Estimation ◽  
Nonlinear Least Squares ◽  
Mapping Algorithm ◽  
Alternative Method ◽  
Periodogram Analysis

A classical time series problem is that of estimating unknown frequencies for a given sinusoidal regression model. Existing methods include nonlinear least squares and periodogram analysis. An alternative method is offered by the contraction mapping algorithm whose implementation in S-Plus is outlined.

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