Kulback-Leibler and renormalized entropies: Applications to electroencephalograms of epilepsy patients

Recently, "renormalized entropy'' was proposed as a novel measure of relati ve entropy [P. Saparin et al., Chaos, Solitons and Fractals 4, 1907 (1994)] and applied to several physiological time sequences, including electroence phalograms (EEGs) of patients with epilepsy. We show here that this measure is just a modified Kullback-Leibler (KL) relative entropy, and it gives si milar numerical results to the standard KL entropy. The latter better disti nguishes frequency contents of, e.g., seizure and background EEGs than reno rmalized entropy. We thus propose that renormalized entropy might not be as useful as claimed by its proponents. In passing, we also make some critica l remarks about the implementation of these methods.