Self-sustained stable oscillations of second order recursive algorithms

Recursive computation can be used to generate sine waveforms. The waveforms are degraded by the round-off noise caused by rounding the results of multiplications. The variance of the round-off noise will increase during the computation if white noise model is assumed. However, in certain cases this will not happen. In this paper the so called ´locking´ phenomenon is described. A measure is given to the locking sensitivity of a certain algorithm. Some results of computer simulations and hardware measurements are also given.