Methods of characterization of nanocomposites consisting of semiconductor quantum dots incorporated into a transparent nonlinear dielectric matrix are elaborated. Spectral composition, observation time, and phase-matching conditions for echo-responses excited by two noncollinear pulses are analysed. More specifically, spectral and spatial features of echo signals caused by permanent dipole moments (PDMs) inherent to quantum dots and local field effects in them, as well as by the angular distribution function of the PDM orientations and spatial dispersion of transition dipole moments, are considered.