Least squares type algorithm for adaptive implementation of Pisarenko's harmonic retrieval method

1982 ◽  
Vol 30 (3) ◽  
pp. 399-405 ◽  
Author(s):  
V. Reddy ◽  
B. Egardt ◽  
T. Kailath
Keyword(s):  
Least Squares ◽  
Retrieval Method ◽  
Harmonic Retrieval ◽  
Type Algorithm

A Numerical Approach for Harmonic Retrieval and its Application in Motor Vibration Fault Diagnosis

2010 ◽  
Vol 43 ◽  
pp. 288-292
Author(s):  
Long Xing Yang ◽  
Hua Wei Chai
Keyword(s):  
Fault Diagnosis ◽  
Numerical Approach ◽  
Rotating Machinery ◽  
Numerical Parameter ◽  
Fixed Frequency ◽  
Retrieval Method ◽  
Harmonic Retrieval ◽  
Motor Vibration ◽  
Machinery Fault Diagnosis ◽  
Fault Characteristic

A numerical parameter match approach for harmonic retrieval is presented to improve the demerits of harmonic retrieval methods, such as complicated calculation, low precision and false frequency appearance. The theory deduction and computer simulation are given to show the validity of the approach, and the implementary steps are offered. Based on the characteristics of the motor vibration fault signals exhibiting cyclostation and harmonic information, the numerical harmonic retrieval method can not only search fixed frequency but also match fault characteristic frequency. By the amplitude modulation fault examples, the degrees of modulation variation are employed to validate the availability of the approach in rotating machinery fault diagnosis.

An Improved Least-Squares Method for Designing Function-Generating Mechanisms

1975 ◽  
Vol 97 (1) ◽  
pp. 303-307 ◽  
Author(s):  
G. H. Sutherland ◽  
B. Roth
Keyword(s):  
General Theory ◽  
Least Squares ◽  
Least Squares Method ◽  
Spatial Function ◽  
Type Algorithm

An improved general theory for the least-squares synthesis of function-generating mechanisms is developed. This theory leads to a rapidly converging iterative-type algorithm, the use of which is illustrated by two planar four-bar examples. The theory and associated algorithms may be applied to the synthesis of any planar or spatial function-generating linkage.

scholarly journals Robust wrapping-free phase retrieval method based on weighted least squares method

2017 ◽  
Vol 97 ◽  
pp. 34-40 ◽  
Author(s):  
Minmin Wang ◽  
Canlin Zhou ◽  
Shuchun Si ◽  
XiaoLei Li ◽  
Zhenkun Lei ◽  
...  
Keyword(s):  
Least Squares ◽  
Phase Retrieval ◽  
Least Squares Method ◽  
Weighted Least Squares ◽  
Retrieval Method ◽  
Weighted Least Squares Method

A fast covariance type algorithm for sequential least-squares filtering and prediction

1984 ◽  
Vol 29 (8) ◽  
pp. 752-755 ◽  
Author(s):  
N. Kalouptsidis ◽  
G. Carayannis ◽  
D. Manolakis
Keyword(s):  
Least Squares ◽  
Type Algorithm
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