Quantification of Maximum-Entropy Spectrum Reconstructions

✍ Scribed by Peter Schmieder; Alan S. Stern; Gerhard Wagner; Jeffrey C. Hoch

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 410 KB
• Volume: 125
• Category: Article
• ISSN: 1090-7807
• DOI: 10.1006/jmre.1997.1117

✦ Synopsis

Maximum-entropy spectrum reconstruction derives much of reconstruction of multidimensional spectra. With linear its power from its nonlinearity. This nonlinearity causes diffimethods such as the DFT, a transform can be computed culties in several contexts, however, including computation of by successive application of a one-dimensional DFT to the multidimensional spectra and quantification of reconstructed individual rows; linearity ensures that the response is proporspectra. We describe two methods for avoiding these difficulties: tional to the amplitude of the spectral components and that a ''Constant-l'' algorithm for performing row-wise reconstructhe rows can be processed independently. If MaxEnt is aptions, which uses a fixed weighting of the entropy and the experiplied carelessly to individual rows, the extent of the nonlinmental constraint in the objective function, and in situ error earity will vary between rows, distorting peak shapes and, analysis, for calibrating the nonlinearity. These methods are more importantly, rendering accurate quantification almost applied to data from quantitative J-correlation and relaxation impossible.

experiments.