Abstract: A method and apparatus for characterizing a sample using a nuclear magnetic resonance spectrameter in which an effective field is generated. The field has an effective vector and results from a static magnetic field and a radiofrequency magnetic field. The effective vector rotates relative to a terrestrial reference frame.

Abstract: The invention relates to a method for characterizing a sample (2) by means of a nuclear magnetic resonance spectrometer in which an effective field (Beff) is generated, wherein said field has an effective vector (I) and results from a static magnetic field (B0) and a radiofrequency magnetic field (B1), characterized in that the effective vector (I) rotates relative to a terrestrial reference frame. The invention also relates to an apparatus (1) for implementing the method.

Abstract: Processing a complex signal includes acquisition of a signal in the form of complex numbers; determination, on the basis of the complex signal acquired, of an associated hypercomplex signal having a component which is the complex signal and at least one component that is a time derivative of the phase of the required complex signal; processing of the hypercomplex signal so that the resulting signal from the processing comprises a greater number of components than the number of components of the acquired signal.

Abstract: The disclosure relates to a method of processing a complex signal comprising acquisition of a signal in the form of complex numbers; determination on the basis of the complex signal acquired of the associated hypercomplex components, said components corresponding to at least derivatives with respect to time of the phase of the complex signal acquired; processing of the hypercomplex signal thus determined in such a way that the signal resulting from the processing comprises a greater number of components than the number of components of the signal acquired.