ABSTRACT
This chapter extends considerations to the case of multiplicative signal and noise at the input along with linear memory operators. The interest in multiplicative signal and noise for acoustic waves propagating through random media is due to the importance of scatter propagation in communication or remote sensing and the limitations imposed upon sonar tracking and guidance systems for undersea vehicles. The chapter introduces analytical and numerical methods to describe the desired information when it is multiplicative with some random effect and is also submitted to a linear operator with memory. This problem is physically relevant for information propagating in random media. For description of the information, the first- and second-order statistical measures are derived. The chapter presents a general case where the correlation function is inhomogeneous inside the scattering volume, and its mean characteristics vary smoothly.
