β Scribed by Thomas, G.W. ;Bachman, H.N. ;Sigmund, E.E. ;Mitrovi?, V.F. ;Calder, E.S. ;Halperin, W.P.
No coin nor oath required. For personal study only.
Signals suffering from phase noise, such as spin echoes from NMR experiments in a fluctuating magnetic field, can be underestimated by traditional signal averaging. Averaging in the polar rather than in the Cartesian domain can solve this problem. However, because of background noise, there is an inherent drawback in the polar averaging technique: polar averaging under conditions of a low initial signal to noise will cause these same signals to be overestimated. We studied this problem with both numerical simulations and experiments. The quantitative results allow not only an assessment of the applicability of polar averaging for a given experiment but also possible corrections of the overestimate. Β© 2002 Wiley Periodicals, Inc. Concepts Magn Reson 14: 359β364, 2002
π SIMILAR VOLUMES
## Abstract Ensemble or signal averaging, and the use of the technique for the solution of some unique problems with minimum sample handling, have previously been reported. The capability of the technique has been evaluated with microbore gas chromatography for the fast handling of a large number o
## Abstract In remote sensing and the evaluation of radio wave propagation, there has recently been interest in highly accurate estimation methods with high resolution, including polarization information. In the superresolution method, which realizes a high resolution that cannot be achieved by the
## Abstract Ensemble or signal averaging has been used to increase detection limits in gas chromatography. The sample is injected several times into a gas chromatograph and the chromatograms generated are summed. The resulting chromatogram is treated as a separate chromatogram with the benefit of a
## Abstract It is demonstrated here that individual signalβaveraged NMR spectra can be compared statistically in a rigorous fashion. This is accomplished by considering the ensemble of single acquisitions, which are summed to produce spectra. Applications of this concept include assessment of the s