  We present the continuous wavelet transform (WT) of white Gaussian noise and
establish a connection to the theory of Gaussian analytic functions. Based on
this connection, we propose a methodology that detects components of a signal
in white noise based on the distribution of the zeros of its continuous WT. To
illustrate that the continuous theory can be employed in a discrete setting, we
establish a uniform convergence result for the discretized continuous WT and
apply the proposed method to a variety of acoustic signals.
