MODIFIED FORWARD-BACKWARD OVERDETERMINED PRONYS METHOD AND ITS APPLICATION IN MODELING HEART SOUNDS

Prony's method is found to be a very method for the analysis-synthesis of data, straightforward However, application of this method can lead to poor performance, especially for short and noisy data records, The authors present a new overdetermined forward-backward Prony method (M FBPM) and its application to the analysis of the first and second hear t sounds. The accuracy of the method is measured using both crosscorre lation and the normalised-mean-square-error (NMRSE) between a real sig nal and a synthetic one. Results from more than 80 different subjects show that the MFBPM is highly stable and gives very good performance w ith an average crosscorrelation coefficient of 99.62%. Comparison of t he results based on the NMRSE criterion show that the MFBPM is more pr ecise than the modified backward Prony method (MBPM) with an accuracy improvement of up to 10% and up to 20% when compared with the conventi onal forward-backward Prony method (FBPM), Furthermore, a new method f or dynamic estimation of model order is proposed for the case of heart sounds based on a subset of synthesised heart sounds which best appro ximates the observed data using NMRSE.