Spatial-temporal modeling of radio channels is the key for space-time wireless channel study.The widely used geometrically based single bounce elliptical model(GBSBEM)has the limitations in the description of Time-Of-Arrival(TOA).By introducing two physical concepts of effective scatterer and reflecting probability to GBSBEM

an enhanced elliptical scattering model is presented

while the probability density functions of TOA and Angle-Of-Arrival(AOA)are also derived.The detailed analysis proves that the enhanced model not only overcomes the limitations of GBSBEM

but also has an advantage of broad application extent.