The fast Padé transform in magnetic resonance spectroscopy for potential improvements in early cancer diagnostics.

Abstract:

:The convergence rates of the fast Padé transform (FPT) and the fast Fourier transform (FFT) are compared. These two estimators are used to process a time-signal encoded at 4 T by means of one-dimensional magnetic resonance spectroscopy (MRS) for healthy human brain. It is found systematically that at any level of truncation of the full signal length, the clinically relevant resonances that determine concentrations of metabolites in the investigated tissue are significantly better resolved in the FPT than in the FFT. In particular, the FPT has a better resolution than the FFT for the same signal length. Moreover, the FPT can achieve the same resolution as the FFT by using twice shorter signals. Implications of these findings for two-dimensional magnetic resonance spectroscopy as well as for two- and three-dimensional magnetic resonance spectroscopic imaging are highlighted. Self-contained cross-validation of all the results from the FPT is secured by using two conceptually different, equivalent algorithms (inside and outside the unit-circle), that are both valid in the entire complex frequency plane. The difference between the results from these two variants of the FPT is indistinguishable from the background noise. This constitutes robust error analysis of proven validity. The FPT shows promise in applications of MRS for early cancer detection.

journal_name

Phys Med Biol

authors

Belkić D,Belkić K

doi

10.1088/0031-9155/50/18/010

subject

Has Abstract

pub_date

2005-09-21 00:00:00

pages

4385-408

issue

18

eissn

0031-9155

issn

1361-6560

pii

S0031-9155(05)02183-4

journal_volume

50

pub_type

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