Verfahren und Anordnung zum Bestimmen von Spektralparametern eines auf spektralanalytische Signale bezogenen Spektrums

A method is proposed for the determination of spectrum parameters of a spectrum by quantification and model fitting of sampling values of a signal in the time domain on the basis of a model function comprising exponentially damped sinusoids. The computational efficiency of the method is very high with respect to known methods which are also accurate. It is proposed to start with a coarse estimation of a number of spectrum parameters, followed by linearisation of the model function and iterative estimation of the coarsely estimated parameters and further parameters, utilising a least-squares optimisation procedure where inner product terms are brought into analytic form and are preferably recursively determined.