An increasing number of studies use the spectrum of cardiac signals for analyzing the spatiotemporal dynamics of complex cardiac arrhythmias. However, the relationship between the spectrum of cardiac signals and the spatiotemporal dynamics of the underlying cardiac sources remains to date unclear. In this paper, we derive a mathematical expression relating the spectrum of cardiac signals to the spatiotemporal dynamics of cardiac sources and the measurement characteristics of the lead systems. Then, by using analytical methods and computer simulations we analyze the spectrum of cardiac signals measured by idealized lead systems during correlated and uncorrelated spatiotemporal dynamics. Our results show that lead systems can have distorting effects on the spectral envelope of cardiac signals, which depend on the spatial resolution of the lead systems and on the degree of spatiotemporal correlation of the underlying cardiac sources. In addition to this, our results indicate that the spectral features that do not depend on the spectral envelope, such as the dominant frequency, behave robustly against different choices of lead systems.
Spectral analysis is widely applied to bioelectric cardiac signals for quantifying the spatiotemporal organization of cardiac tissue. Nevertheless, to date it is not well understood how lead characteristics affect the spectrum of recorded cardiac signals and, as a consequence, the interpretation of cardiac spectrum is still controversial. In this paper we use simulation methods to investigate the effects of lead spatial resolution on the spectrum of cardiac signals. We simulate three cardiac rhythms of different degrees of spatiotemporal organization in a square sample of cardiac tissue. Then, by using a lead field approach, we synthesize the signals recorded by four idealized leads of different spatial resolution. Finally, we estimate the spectrum of simulated cardiac signals. Our simulations indicate that lead spatial resolution affects cardiac spectrum, although the effects depend on the organization of the underlying rhythm. Specifically, our simulations show that for highly organized rhythms, the smaller the lead resolution region, the broader the distribution of power in frequency. Since lead resolution can affect significantly cardiac spectrum, we conclude that caution should be used when quantifying cardiac spatiotemporal organization based on the spectrum of cardiac signals.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.