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I analyze the correlation function of currents generated by a periodically driven quantum capacitor emitting single electrons and holes into a chiral waveguide. I compare adiabatic and nonadiabatic transient working regimes of a single-electron emitter and find a striking difference between the correlation functions in the two regimes. Quite generally, for a system driven with frequency [Omega] the correlation function depends on two frequencies omega and l[Omega] - omega , where l is an integer. For an emitter driven nonadiabatically the correlation functions for different l are similar and almost symmetric in omega , while in the case of adiabatic driving the correlation functions for l [not =] 0 are highly asymmetric in omega and exceed significantly the one corresponding to l = 0. Under optimal operating conditions the correlation function for odd l is zero.