Geodesic
The central limit theorem for the number of level crossings of a~stationary Gaussian process
Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 185-189

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Let $r(t)$ be the covariance function of a stationary Gaussian process with zero mean. If $$ \int_0^{\infty}t(|r(t)|+|r'(t)|+|r''(t)|)\,dt\infty, $$ then the central limit theorem for the number of level crossings in a large interval is proved to hold. 
@article{TVP_1978_23_1_a17,
     author = {V. I. Piterbarg},
     title = {The central limit theorem for the number of level crossings of a~stationary {Gaussian} process},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {185--189},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a17/}
}
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V. I. Piterbarg. The central limit theorem for the number of level crossings of a~stationary Gaussian process. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 185-189. http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a17/