The expected number of level crossings of random trigonometric polynomials Original Research Article

This paper provides a new result on the asymptotic estimate for the expected number of mml-level crossings of a random trigonometric polynomialmml l cos x + α2 cos 2x + . + αn cos nx, where mml, areindependent random variables with mean 0 and variance 1. It is shown that in the case of mml the actual error term is the same as in the case of K = 0 and is equal to O(1).