Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra

Geoffrey S. Armstrong; Jianhan Chen; Kristin E. Cano; A. J. Shaka; Vladimir A. Mandelshtam

doi:10.1016/S1090-7807(03)00129-0

Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra

Geoffrey S. Armstrong, Jianhan Chen, Kristin E. Cano, A. J. Shaka, Vladimir A. Mandelshtam

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The regularized resolvent transform (RRT) has been applied in a novel way to J-resolved spectra. This involves the direct calculation of the 45° projection without constructing the 2D spectrum. The results show a significant resolution enhancement over that obtained by the 45° projection of a 2D Fourier spectrum, even for much larger signals. In particular, RRT is able to resolve peaks that belong to different overlapping multiplets in a very crowded spectral region, where the conventional technique fails for any signal size. The resolving power of this method along with the significantly shorter signals required, make this method a powerful tool in spectral assignment.

Original language	English (US)
Pages (from-to)	136-144
Number of pages	9
Journal	Journal of Magnetic Resonance
Volume	164
Issue number	1
DOIs	https://doi.org/10.1016/S1090-7807(03)00129-0
State	Published - Sep 2003
Externally published	Yes

Keywords

2D J spectrum
Filter diagonalization method
Regularized resolvent transform
Resolution enhancement
Spectral estimation

ASJC Scopus subject areas

Condensed Matter Physics
Nuclear and High Energy Physics
Biophysics
Biochemistry

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10.1016/S1090-7807(03)00129-0

Cite this

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title = "Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra",

abstract = "The regularized resolvent transform (RRT) has been applied in a novel way to J-resolved spectra. This involves the direct calculation of the 45° projection without constructing the 2D spectrum. The results show a significant resolution enhancement over that obtained by the 45° projection of a 2D Fourier spectrum, even for much larger signals. In particular, RRT is able to resolve peaks that belong to different overlapping multiplets in a very crowded spectral region, where the conventional technique fails for any signal size. The resolving power of this method along with the significantly shorter signals required, make this method a powerful tool in spectral assignment.",

keywords = "2D J spectrum, Filter diagonalization method, Regularized resolvent transform, Resolution enhancement, Spectral estimation",

author = "Armstrong, {Geoffrey S.} and Jianhan Chen and Cano, {Kristin E.} and Shaka, {A. J.} and Mandelshtam, {Vladimir A.}",

note = "Funding Information: V.A.M. acknowledges the NSF support, Grant CHE-0108823. V.A.M. is an Alfred P. Sloan research fellow. A.J.S. was supported by the NSF Grant CHE-9900422. ",

year = "2003",

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doi = "10.1016/S1090-7807(03)00129-0",

language = "English (US)",

volume = "164",

pages = "136--144",

journal = "Journal of Magnetic Resonance",

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TY - JOUR

T1 - Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra

AU - Armstrong, Geoffrey S.

AU - Chen, Jianhan

AU - Cano, Kristin E.

AU - Shaka, A. J.

AU - Mandelshtam, Vladimir A.

N1 - Funding Information: V.A.M. acknowledges the NSF support, Grant CHE-0108823. V.A.M. is an Alfred P. Sloan research fellow. A.J.S. was supported by the NSF Grant CHE-9900422.

PY - 2003/9

Y1 - 2003/9

N2 - The regularized resolvent transform (RRT) has been applied in a novel way to J-resolved spectra. This involves the direct calculation of the 45° projection without constructing the 2D spectrum. The results show a significant resolution enhancement over that obtained by the 45° projection of a 2D Fourier spectrum, even for much larger signals. In particular, RRT is able to resolve peaks that belong to different overlapping multiplets in a very crowded spectral region, where the conventional technique fails for any signal size. The resolving power of this method along with the significantly shorter signals required, make this method a powerful tool in spectral assignment.

AB - The regularized resolvent transform (RRT) has been applied in a novel way to J-resolved spectra. This involves the direct calculation of the 45° projection without constructing the 2D spectrum. The results show a significant resolution enhancement over that obtained by the 45° projection of a 2D Fourier spectrum, even for much larger signals. In particular, RRT is able to resolve peaks that belong to different overlapping multiplets in a very crowded spectral region, where the conventional technique fails for any signal size. The resolving power of this method along with the significantly shorter signals required, make this method a powerful tool in spectral assignment.

KW - 2D J spectrum

KW - Filter diagonalization method

KW - Regularized resolvent transform

KW - Resolution enhancement

KW - Spectral estimation

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JO - Journal of Magnetic Resonance

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ER -

Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra

Abstract

Keywords

ASJC Scopus subject areas

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