Spectra from teleseismic coda waves are used to estimate Earth and source properties through generalized linear inversion (GLI) techniques. High-frequency teleseismic (66¿--98¿) P wave codas recorded by the Regional Seismic Test Network (RSTN) are analyzed. The spectra of teleseismic coda were found to be described by the following two models: (A/t2+B) exp (-Ct) and (A/t+B) exp (-Ct). A two-term model consisting of a time dependent and time independent part were required to fit the single and multiple scattering effects observed in the data. Two near-surface explosions (eastern Kazakh) of magnitude 6.1 and one earthquake (northern Argentina-Chile, 559 km depth) of magnitude 5.8 are analyzed to evaluate near-source scattering. The five three-component North America RSTN receiving stations are used to evaluate the effect of near-receiver scattering. Coda Q estimates from the inversions increased with frequency in the approximate range from 800 at 1 Hz to 1600 at 4 Hz. The same range of coda Q values were obtained for both of the models tested; however, the (A/t+B) exp (-Ct) model results had higher variances, suggesting poorer fit of this model to the data. Coda Q estimates are higher at stations RSCP and RSNY compared to the other stations. The coda Q results from the GLI analyses are in agreement with Q values determined from the analysis of local coda. These results suggest that teleseismic coda Q are dominated by near-receiver scattering effects. The coda analysis method outlined in this paper represents an alternative to normal single scattering analysis methods performed over small time windows early in the coda. This method, which accounts for multiple scattering effects, models the entire coda (500--600 s) where signal is above background noise. Good results were obtained for both earthquake and explosion data. While coda analysis on multiple scattered waves at teleseismic distances was the emphasis in this paper these methods should also work at local and regional distances. ¿ American Geophysical Union 1991