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Stability of the splay state in pulse-coupled networks, , , and . Phys.~Rev.~E, 76 (4): 046102 (2007)Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics, , , and . Phys.~Rev.~A, 74 (6): 63801 (2006)Double Coherence Resonance in Neuron Models Driven by Discrete Correlated Noise, , and . Phys. Rev. Lett., 97 (23): 238101 (2006)Desynchronization in diluted neural networks, , , and . Phys.~Rev.~E, 74 (3): 036203 (2006)Transition to stochastic synchronization in spatially extended systems, , and . Phys.~Rev.~E, 63 (3): 036226 (February 2001)Thin front propagation in steady and unsteady cellular flows, , , and . Physics of Fluids, 15 (3): 679-688 (2003)Front propagation in chaotic and noisy reaction-diffusion systems: a discrete-time map approach, , and . Eur.~Phys.~J.~B, (2002)Synchronization of Extended Chaotic Systems with Long-Range Interactions: An Analogy to Le-acutevy-Flight Spreading of Epidemics, , and . Phys.~Rev.~Lett., 97 (22): 224101 (2006)Chaotic synchronizations of spatially extended systems as non-equilibrium phase transitions, , and . Arxiv preprint arXiv:0802.3024 (Chaos in print), (2008)Coherence resonance due to correlated noise in neuronal models, , and . Neurocomputing, 70 (10-12): 1970--1976 (June 2007)We study the regularity of noise-induced excitations in the FitzHugh-Nagumo (FHN) neuronal model subject to excitatory and inhibitory high-frequency input with and without correlations. For each value of the correlation a relative maximum of spike coherence can be observed for intermediate noise strengths (coherence resonance). Moreover, the FHN system exhibits an absolute maximum of coherent spiking for intermediate values of both the noise amplitude and the strength of correlation (double coherence resonance). The underlying mechanisms can be explained by means of the discrete input statistics..