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An increasing number of studies use the spectrum of cardiac signals foranalyzing the spatiotemporal dynamics of complex cardiac arrhythmias. However,the relationship between the spectrum of cardiac signals and the spatiotemporaldynamics of the underlying cardiac sources remains to date unclear. In thispaper, we derive a mathematical expression relating the spectrum of cardiacsignals to the spatiotemporal dynamics of cardiac sources and the measurementcharacteristics of the lead systems. Then, by using analytical methods andcomputer simulations we analyze the spectrum of cardiac signals measured byidealized lead systems during correlated and uncorrelated spatiotemporaldynamics. Our results show that lead systems can have distorting effects on thespectral envelope of cardiac signals, which depend on the spatial resolution ofthe lead systems and on the degree of spatiotemporal correlation of theunderlying cardiac sources. In addition to this, our results indicate that thespectral features that do not depend on the spectral envelope, such as thedominant frequency, behave robustly against different choices of lead systems.

Relating the spectrum of cardiac signals to the spatiotemporal dynamics of cardiac sources