In mathematics, in particular in functional analysis, the Rademacher system, named after Hans Rademacher, is an incomplete orthogonal system of functions on the unit interval of the following form:
\{t\mapstorn(t)=sgn\left(\sin2n+1\pit\right);t\in[0,1],n\in\N\}.
The Rademacher system is stochastically independent, and is closely related to the Walsh system. Specifically, the Walsh system can be constructed as a product of Rademacher functions.