Recently, Linear Video Coding and Transmission (LVCT) schemes have been proposed as an alternative to traditional video transmission schemes, the latter experiencing cliff-effect [3] in wireless error-prone environments. In this paper, we propose an analytical model to estimate/predict the end-to-end performance of Soft-Cast [2] video transmission, pioneer of the LVCT schemes. This model, based on the PSNR metric, accounts for channel conditions (CSNR) as well as data compression due to bandwidth constraints. We show that regardless of the available channel bandwidth, the end-to-end video quality can be accurately modeled and predicted according to the characteristics of the video and the channel conditions.