Buffer Map Message Compression Based on Relevant Window in P2P Streaming   Media System
  Popular peer to peer streaming media systems such as PPLive and UUSee rely on periodic buffer-map exchange between peers for proper operation. The buffer-map exchange contains redundant information which causes non-negligible overhead. In this paper we present a theoretical framework to study how the overhead can be lowered. Differentiating from the traditional data compression approach, we do not treat each buffer-map as an isolated data block, but consider the correlations between the sequentially exchanged buffer-maps. Under this framework, two buffer-map compression schemes are proposed and the correctness of the schemes is proved mathematically. Moreover, we derive the theoretical limit of compression gain based on probability theory and information theory. Based on the system parameters of UUSee (a popular P2P streaming platform), our simulations show that the buffer-map sizes are reduced by 86% and 90% (from 456 bits down to only 66 bits and 46 bits) respectively after applying our schemes. Furthermore, by combining with the traditional compression methods (on individual blocks), the sizes are decreased by 91% and 95% (to 42 bits and 24 bits) respectively. Our study provides a guideline for developing practical compression algorithms. 
Chunxi Li, Changjia Chen, DahMing Chiu
cs.MM cs.IT math.IT