Instantaneous frequency estimating method based on FrFT and cubic spline interpolation

2011 ◽  
Vol 25 (4) ◽  
pp. 343-347
Author(s):  
Zhengjun Mo ◽  
Yaqing Tu ◽  
Wei Xiao
Keyword(s):  
Instantaneous Frequency ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Cubic Spline Interpolation

scholarly journals Error Analysis for a Noisy Lacunary Cubic Spline Interpolation and a Simple Noisy Cubic Spline Quasi Interpolation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Feng-Gong Lang ◽  
Xiao-Ping Xu
Keyword(s):  
Error Analysis ◽  
Error Bounds ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
The Other ◽  
Cubic Spline Interpolation ◽  
Numerical Tests ◽  
New Methods ◽  
Noisy Function

We mainly present the error analysis for two new cubic spline based methods; one is a lacunary interpolation method and the other is a very simple quasi interpolation method. The new methods are able to reconstruct a function and its first two derivatives from noisy function data. The explicit error bounds for the methods are given and proved. Numerical tests and comparisons are performed. Numerical results verify the efficiency of our methods.

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