The level crossings of random polynomials Original Research Article

The present paper investigates the properties of the expected number of real zeros and K-level crossings of random trigonometric polynomials a1 sinθ + a2 sin 2θ + … + an sin nθ, where aj, j = 1, 2,…, n are independent normally distributed random variables. It is shown that the result for K = 0 remains valid for any K such that K = O(nα) where View the MathML source is a constant.