Application of a Resolvent Identity to a Linear Smoothing Problem

1969 ◽  
Vol 7 (1) ◽  
pp. 68-74 ◽  
Author(s):  
Thomas Kailath
Keyword(s):  
Resolvent Identity ◽  
Linear Smoothing

A Martingale Approach to Continuous-Time Linear Smoothing

1975 ◽  
Vol 28 (2) ◽  
pp. 276-281 ◽  
Author(s):  
Arunabha Bagchi
Keyword(s):  
Continuous Time ◽  
Martingale Approach ◽  
Linear Smoothing ◽  
Time Linear

scholarly journals Raman Spectra of Nanodiamonds: New Treatment Procedure Directed for Improved Raman Signal Marker Detection

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Raoul R. Nigmatullin ◽  
Dumitru Baleanu ◽  
Diana Povarova ◽  
Numan Salah ◽  
Sami S. Habib ◽  
...  
Keyword(s):  
Raman Spectra ◽  
High Refractive Index ◽  
Spectroscopic Studies ◽  
Raman Signal ◽  
Heating Rates ◽  
Inert Core ◽  
Optimal Linear ◽  
Linear Smoothing ◽  
New Treatment ◽  
Increasing Temperature

Detonation nanodiamonds (NDs) have shown to be promising agents in several industries, ranging from electronic to biomedical applications. These NDs are characterized by small particle size ranging from 3 to 6 nm, while having a reactive surface and a stable inert core. Nanodiamonds can exhibit novel intrinsic properties such as fluorescence, high refractive index, and unique Raman signal making them very attractive imaging agents. In this work, we used several nanodiamond preparations for Raman spectroscopic studies. We exposed these nanodiamonds to increasing temperature treatments at constant heating rates (425–575°C) aiding graphite release. We wanted to correlate changes in the nanodiamond surface and properties with Raman signal which could be used as adetection marker. These observations would hold potential utility in biomedical imaging applications. First, the procedure of optimal linear smoothing was applied successfully to eliminate the high-frequency fluctuations and to extract the smoothed Raman spectra. After that we applied the secondary Fourier transform as the fitting function based on some significant set of frequencies. The remnant noise was described in terms of the beta-distribution function. We expect this data treatment to provide better results in biomolecule tracking using nanodiamond base Raman labeling.

OPTIMAL FIXED-POINT CONTINUOUS LINEAR SMOOTHING

1966 ◽  
Author(s):  
James S. Meditch
Keyword(s):  
Fixed Point ◽  
Continuous Linear ◽  
Linear Smoothing

scholarly journals Linear Smoothing of Noisy Spatial Temporal Series

2005 ◽  
Vol 1 (4) ◽  
pp. 309-321
Author(s):  
Jumat
Keyword(s):  
Temporal Series ◽  
Linear Smoothing

Linear smoothing for discrete-time systems in the presence of correlated disturbances and uncertain observations

1995 ◽  
Vol 40 (8) ◽  
pp. 1486-1488 ◽  
Author(s):  
A.H. Carazo ◽  
J.L. Perez
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Linear Smoothing ◽  
Time Systems
Sign in / Sign up

Export Citation Format

Share Document