Propagation of pulsed-carrier signals in random media

A careful examination of the time-averaging procedures used in analyzing transient signal propagation through random media is made. By employing a time-domain formalism, the statistics of the time-averaged pulse are shown to coincide exactly with the continuous-wave statistics which have been treated so extensively. In contrast with previous work the demonstration does not depend on any particular form of the wave equation, the manner in which the wave equation is solved, nor on the particular shape of the transient signal. Thus a considerable simplicity in dealing with transient problems is brought about.