Quasi-periodic oscillations generated using a sign correlator

摘要

It is shown that a sign correlation of two harmonic oscillations with any irrational relationship of their frequencies gives rise to a quite regular process, the spectrum of which contains components possessing nonequidistant combination frequencies. The spectrum of such a signal is analytically determined and some features of this spectrum are discussed. The results confirm the conclusions made by Vladimirov [Usp. Fiz. Nauk 174, 217 (2004)] concerning the impossibility of generating a chaotic pulse sequence using a sign correlator of two periodic signals proposed by Evdokimov et al. [Usp. Fiz. Nauk 171, 775 (2001)].