A Method for Subsample Fetal Heart Rate Estimation Under Noisy Conditions

Abstract

In this paper, we consider a new approach for estimating the fundamental period in fetal ECG waveforms. The fundamental period contains information that is indicative of the physiological condition of the fetus such as hypoxia and acidemia. Our method is based on the minimization of a cost function that measures the differences between the discrete Fourier transform (DFT) of the fetal ECG waveform and the DFTs of its circularly shifted forms. By using the linear phase shift property of the DFT, we show that the minimization of this cost function is equivalent to finding the cosine waveform that matches best to the ECG power spectrum. The optimal cosine waveform is then used to estimate the fundamental period. We expand this method and discuss estimation of the fundamental period with subsample precision. Subsample estimates may be useful especially when a low sampling rate is used for a long period of monitoring. Comparison of performance of this method with Cepstrum and average mIn this paper, we consider a new approach for estimating the fundamental period in fetal ECG waveforms. The fundamental period contains information that is indicative of the physiological condition of the fetus such as hypoxia and acidemia. Our method is based on the minimization of a cost function that measures the differences between the discrete Fourier transform (DFT) of the fetal ECG waveform and the DFTs of its circularly shifted forms. By using the linear phase shift property of the DFT, we show that the minimization of this cost function is equivalent to finding the cosine waveform that matches best to the ECG power spectrum. The optimal cosine waveform is then used to estimate the fundamental period. We expand this method and discuss estimation of the fundamental period with subsample precision. Subsample estimates may be useful especially when a low sampling rate is used for a long period of monitoring. Comparison of performance of this method with Cepstrum and average magnitude difference function methods shows that our approach achieves very accurate period estimation results for both simulated and real fetal EGC waveforms that are taken at different stages of the gestation under noisy conditions.agnitude difference function methods shows that our approach achieves very accurate period estimation results for both simulated and real fetal EGC waveforms that are taken at different stages of the gestation under noisy conditions.