EVALUATION OF MATHEMATICAL MODELS FOR QRS FEATURE EXTRACTION AND QRS MORPHOLOGY CLASSIFICATION IN ECG SIGNALS

Abstract

IT IS PLAUSIBLE TO ASSUME THAT THE COMPONENT WAVES IN ECG SIGNALS CONSTITUTE A UNIQUE HUMAN CHARACTERISTIC BECAUSE MORPHOLOGY AND AMPLITUDES OF RECORDED BEATS ARE GOVERNED BY MULTIPLE INDIVIDUAL FACTORS. ACCORDING TO THE BEST OF OUR KNOWLEDGE, THE ISSUE OF AUTOMATICALLY CLASSIFYING DIFFERENT ’IDENTITIES’ OF QRS MORPHOLOGY HAS NOT BEEN EXPLORED WITHIN THE LITERATURE. THIS WORK PROPOSES FIVE ALTERNATIVE MATHEMATICAL MODELS FOR REPRESENTING DIFFERENT QRS MORPHOLOGIES PROVIDING THE EXTRACTION OF A SET OF FEATURES RELATED TO QRS SHAPE. THE TECHNIQUE INCORPORATES MECHANISMS OF COMBINING THE MATHEMATICAL FUNCTIONS GAUSSIAN, MEXICAN-HAT AND RAYLEIGH PROBABILITY DENSITY FUNCTION AND ALSO A MECHANISM FOR CLIPPING THE WAVEFORM OF THOSE FUNCTIONS. THE SEARCHING FOR THE OPTIMAL PARAMETERS WHICH MINIMIZE THE NORMALIZED RMS ERROR BETWEEN EACH MATHEMATICAL MODEL AND A GIVEN QRS SEARCH WINDOW ENABLES TO FIND AN OPTIMAL MODEL. SUCH MODELING BEHAVES AS A ROBUST ALTERNATIVE FOR DELINEATING HEARTBEATS, CLASSIFYING BEAT MORPHOLOGIES, DETECTING SUBTLE AND ANOMALOUS CHANGES, COMPRESSION OF QRS COMPLEX WINDOWS AMONG OTHERS. THE VALIDATION PROCESS EVALUATES THE ABILITY OF EACH MODEL TO REPRESENT DIFFERENT QRS MORPHOLOGY CLASSES WITHIN 159 FULL ECG SIGNAL RECORDS FROM QT DATABASE AND 584 QRS SEARCH WINDOWS FROM MIT-BIH ARRHYTHMIA DATABASE. FROM THE EXPERIMENTAL RESULTS, WE RANK THE WINNING RATES FOR WHICH EACH MATHEMATICAL MODEL BEST MODELS AND ALSO DISCRIMINATES THE MOST PREDOMINANT QRS MORPHOLOGIES RS, RS, RS, QR, QRS, R, RR’S AND QS. FURTHERMORE, THE AVERAGE TIME ERRORS COMPUTED FOR QRS ONSET AND OFFSET LOCATIONS WHEN USING THE CORRESPONDING WINNER MATHEMATICAL MODELS FOR DELINEATION PURPOSES WERE, RESPECTIVELY, 12.87±8.5 MS AND 1.47±10.06 MS.