Channel characterization and system design in wireless communications.

Abstract

We introduce parameters called <italic>normalized mean square covariance</italic> (<italic>NMSV</italic>), <italic>normalized mean square correlation</italic> (<italic>NMSR</italic>), <italic>re-centered normalized mean square correlation</italic> (<italic>RC-NMSR</italic>), and <italic> stochastic degree of freedom</italic> (<italic>SDF</italic>) to efficiently characterize the correlation properties of <italic>L</italic><super>2</super> stochastic processes. We show that these parameters are very useful to characterize wireless communication channels. In particular, we show that there are very close relationships between the parameters and the performance of various wireless communication systems. Due to such close relationship, the parameters are very useful to evaluate the quality of wireless communication channels. We show that the parameters are very effective in wireless communication system design. In particular, we can obtain direct relations between the quality of channel and the performance of various wireless communication systems. Due to the fundamental nature of the parameters, we believe that they will be very helpful in other branches of science and engineering in which stochastic modeling is useful.