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 journalArticlepeer-review

12 Scopus citations


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 languageEnglish (US)
Pages (from-to)136-144
Number of pages9
JournalJournal of Magnetic Resonance
Issue number1
StatePublished - Sep 2003
Externally publishedYes


  • 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


Dive into the research topics of 'Regularized resolvent transform for direct calculation of 45° projections of 2D J spectra'. Together they form a unique fingerprint.

Cite this