In reality, this function corresponds to a two-dimensional convolution between the

scattering function and the joint probability distribution of synchronization errors in time and frequency.

In the WSSUS case it can be shown that the

scattering function of the channel is proportional to the joint delay Doppler pdf [3].

the measured scattering law [S.sub.R](Q, [omega]) reduces to a time average of the intermediate

scattering function I(Q, t).

Rigid bodies are characterized by a time-invariant

scattering function h(r), while the distance R to a reference point is allowed to vary with time according to target motion.

Isotope incoherence implies scattering that is both Q-independent (so the [lambda]-dependence of the

scattering function can be ignored).

The scattered intensity as a function of scattering angle and time-of-flight, I (2[theta], t), is converted to a weighted

scattering function, S([[vector].Q], [omega]), or to a related quantity such as the generalized density of states.

For an assembly of monodisperse spheres of radius and volume [V.sub.s], the

scattering function is given by (28)

Because the instruments had different bandwidths, the measured irradiances were convolved to common bandwidths by using both triangular and Gaussian slit

scattering functions and the filter transmittances of the filter-based instruments.

In this representation, M(s,t) can be interpreted as the filtered projection of the Wigner function, with the scattering operator exp(isr) as the filter, modified by the

scattering functions g(s).

He discusses the theory of uniform waveguides, the theory of transmission lines, wave variables and the scattering matrix, signal analysis of multiport networks, mode wave variables and mixed mode scattering matrix of differential networks, noise wave variables and the scattering matrix, analyzing the noise of multiport networks, and

scattering functions in the non-linear modeling of microwave devices.

Chapter 5 explains the "

scattering functions" black-box frequency domain behavioral modeling technique.

Volume

scattering functions for selected ocean waters.