Periodic White Noise Research Articles

PROBABILISTIC PROPERTIES AND EVALUATION OF DESCRIPTIONS OF INITIAL SIGNAL OF NONLINEAR SYSTEM AT ACTION OF PERIODIC WHITE NOISE

We prove the theorem of moment functions of higher frequency output process chasoinvariantnoyi nonlinear system, provided that the input is valid on its periodic white noise. Grounded statistical methods for evaluation of periodic functions torque output process nonlinear system.

Finite Dimensional Approximation to Band Limited White Noise

One of the authors discussed finite dimensional approximations to a white noise and a periodic Brownian motion with period 2 π on the projective limit space of spheres ([2]). The group of unitary operators derived from the periodic white noise has a pure point spectrum which consists of all integers with countably infinite multiplicity. We also have much interest in the investigation of a band limited white noise which is another typical example having quite different spectral type. Indeed, the corresponding group of unitary operators has a continuous spectrum with countably infinite multiplicity.