Wigner distribution is a tool for signal processing to obtain instantaneous spectrum of a signal. From which, another representations of an Euler product can be obtained for Dirichlet eta function and the Dirichlet series of the Mobius function. By these Euler products, it can be shown that the Dirichlet series of the Mobius function converges to the inverse of the Riemann zeta function for almost everywhere satisfying  that is related to the Riemann hypothesis.