Signal and traveltime parameter estimation using singular value decomposition

Geophysics ◽  
2014 ◽  
Vol 79 (5) ◽  
pp. U1-U14 ◽  
Author(s):  
Bjørn Ursin ◽  
Michelângelo G. Silva ◽  
Milton J. Porsani
Keyword(s):  
Parameter Estimation ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Value Decomposition

The Inversion Problem for Two Fold Photoelectron Counting Statistics

1975 ◽  
Vol 53 (13) ◽  
pp. 1215-1220 ◽  
Author(s):  
Julian Blake ◽  
Richard Barakat
Keyword(s):  
Parameter Estimation ◽  
Correlation Function ◽  
Singular Value Decomposition ◽  
General Structure ◽  
Coherence Time ◽  
Singular Value ◽  
Spectral Information ◽  
Inversion Problem ◽  
Counting Statistics ◽  
Value Decomposition

The extraction of spectral information from measurements of the full or clipped photoelectron correlation function is treated. Unlike previous treatments, the discussion here is not limited to counting times short compared to the coherence time of the light. The method of singular value decomposition is applied to the case where there is no prior knowledge of the spectrum. Parameter estimation is applied when the general structure of the spectrum is known.

scholarly journals USE OF SINGULAR-VALUE DECOMPOSITION IN GRAVITATIONAL-WAVE DATA ANALYSIS

2013 ◽  
Vol 23 ◽  
pp. 99-105
Author(s):  
DREW KEPPEL
Keyword(s):  
Parameter Estimation ◽  
Data Analysis ◽  
Singular Value Decomposition ◽  
Gravitational Wave ◽  
Computational Cost ◽  
Singular Value ◽  
Matched Filtering ◽  
Powerful Technique ◽  
Wave Data ◽  
Value Decomposition

Singular-value decomposition is a powerful technique that has been used in the analysis of matrices in many fields. In this paper, we summarize how it has been applied to the analysis of gravitational-wave data analysis. These include producing basis waveforms for matched filtering, decreasing the computational cost of searching for many waveforms, improving parameter estimation, and providing a method of waveform interpolation.

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