Modern digital cameras sensors only capture a limited amplitude and frequency range of the irradiance of a scene. A recent trend is to acquire and combine multiple images to raise the quality of the final image. Multi-image techniques are used in high dynamic range processing, where multiple exposure times are used to reconstruct the full range of irradiance. With multi-image super-resolution, the difference between sampling grids caused by the motion of the camera is used to generate a high resolution image. It is possible to combine these two processes into one to generate a super-resolved image with a full dynamic range. In this paper, we study the reconstruction error of high dynamic range super-resolution imaging without regularization. From this study, we deduce a strategy for the choice of the number of images and the exposure times which makes the unregularized problem well conditioned. With these acquisition parameters, the recovery of all the amplitude and frequency content of the scene irradiance is guaranteed.