A new time-domain frequency-selective quantification algorithm.
In this paper a new time-domain frequency-selective quantification algorithm is presented. Frequency-selective quantification refers to a method that analyzes spectral components in a selected frequency region, ignoring all the other components outside. The algorithm, referred to as MeFreS (Metropolis Frequency-Selective), is based on rank minimization of an opportune Hankel matrix. The minimization procedure is satisfied by the down-hill simplex method, implemented with the simulated annealing method. MeFreS does not use any preprocessing step or filter to suppress nuisance peaks, but the signal model function is directly fitted. In this manner, neither inherent signal distortions nor estimation biases to be corrected occur. The algorithm was tested with Monte Carlo simulations. A comparison with VARPRO and AMARESw algorithms was carried out. Finally, two samples of known content from NMR data were quantified.
Romano
Rocco
R
Istituto Nazionale per la Fisica della Materia, Unità di Napoli, c/o Dipartimento di Scienze Fisiche, Università degli Studi di Napoli Federico II, Complesso Universitario di Monte S. Angelo, via Cinthia, Italy. rocco.romano@na.infn.it
Motta
Andrea
A
Camassa
Stefania
S
Pagano
Claudia
C
Santini
Maria Teresa
MT
Indovina
Pietro Luigi
PL
D000465:Algorithms; D005583:Fourier Analysis; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D009010:Monte Carlo Method