Generalized Theoretical Model of Relationship Between Frame-Rate and Bit-Rate Considering Low Pass Filtering Induced by Shutter Opening

Higher frame-rates are being considered to achieve more realistic representations. Since increasing the frame-rate increases the total amount of information, efficient coding methods are required. However, the statistical properties of such data has not been clarified. This paper establishes, for high frame-rate video, a mathematical model of the relationship between frame-rate and bit-rate. The model incorporates the effect of the low-pass filtering induced by shutter open. By incorporating the open interval of shutter, our model can be extended to describes the various cases of downsampling frame-rates. A coding experiment confirms the validity of the mathematical model.