Electrical nonlinear-parametric high order frequency divider

An electrical version of ahigh - order nonlinear parametric frequency divider is proposed and realized for the first time to overcome defects found in electro - mechanical nonlinear parametric frequency dividers. The divider has as its basic section a high - quality electrical oscillatory low-frequency system resembling an underexcited RC oscillatory with Wien bridge operating under rigid constraints when half the voltage period of the divided frequency is fed to it. The division ratio, relation between amplitude of the distributed oscillations and the difference between the divided oscillations in the division band, and the relation between amplitude of distributed oscillations and the pumping voltage are all experimentally studied. The division circuit may be used to perform a division with ratio m ≤ 53 in a single cascade. An equivalent circuit of our frequency divider is presented in which truncated equations for the amplitude and phase are obtained by means of the slowly varying amplitude method. The stability of the nonzero solutions of the system of truncated equations is studied. Relations between the amplitudes of the distributed low-frequency oscillations and the (a) voltage misalignment of the divided frequency; (b) the pumpumping voltage; and (c) division ratio m are theoretically computed.